Exhibit 1.1

                               2,200,000 SHARES

                             MEDI-JECT CORPORATION

                                 Common Stock

                            UNDERWRITING AGREEMENT
                            ----------------------



                              _____________, 1996



Rodman & Renshaw, Inc.
R. J. Steichen & Company
c/o Rodman & Renshaw, Inc.
225 Liberty Street
2 World Financial Center
30th Floor
New York, New York 10281

On behalf of the Several
Underwriters named in
Schedule I attached hereto.

Ladies and Gentlemen:

     Medi-Ject Corporation, a Minnesota corporation (the "Company"), proposes to
sell to you (the "Representatives") and the other underwriters named in Schedule
I attached hereto (the "Underwriters"), for whom you are acting as the
Representatives, an aggregate of 2,200,000 shares (the "Firm Shares") of the
Company's Common Stock, $.01 par value (the "Common Stock").  In addition, the
Company proposes to grant to the Underwriters an option to purchase up to an
additional 330,000 shares (the "Option Shares"), of Common Stock for the purpose
of covering over-allotments in connection with the sale of the Firm Shares.  The
Firm Shares and the Option Shares are together called the "Shares."

     1.   Sale and Purchase of the Shares.  On the basis of the representations,
warranties and agreements contained in, and subject to the terms and conditions
of, this Agreement:

          (a) The Company agrees to issue and sell the Shares to the several
     Underwriters and each of the Underwriters agrees, severally and not
     jointly, to purchase at the purchase price per share of Common Stock of
     $_____ (the "Initial Price"), the aggregate number of Firm Shares set forth
     opposite such Underwriter's name in Schedule I attached hereto.  The
     Underwriters agree to offer the Firm Shares to the public as set forth in
     the Prospectus.

          (b) The Company grants to the several Underwriters an option to
     purchase all or any part of the Option Shares at the Initial Price.  The

 
     number of Option Shares to be purchased by each Underwriter shall be the
     same percentage (adjusted by the Representatives to eliminate fractions) of
     the total number of Option Shares to be purchased by the Underwriter as
     such Underwriter is purchasing of the Firm Shares.  Such option may be
     exercised only to cover over-allotments in the sales of the Firm Shares by
     the Underwriters and may be exercised in whole or in part, but only once,
     at any time within 30 days after the date of this Agreement, upon written
     notice, or verbal or telephonic notice confirmed by written notice, by the
     Representatives to the Company no later than 12:00 noon, New York City
     time, on the business day before the Firm Shares Closing Date or at least
     two business days before any Option Shares Closing Date (as defined below),
     as the case may be, setting forth the number of Option Shares to be
     purchased and the time and date (if other than the Firm Shares Closing
     Date) of such purchase.

          (c) On the Firm Shares Closing Date (as defined below), the Company
     shall issue and sell to the Representatives, individually and not as
     Representatives of the Underwriters, for an aggregate purchase price of
     $.001 per warrant, warrants representing the right of the Representatives
     to purchase a number of Shares of Common Stock (the "Warrant Shares") equal
     to 10.0% of the Firm Shares (which warrants shall be evidenced in the form
     set forth as an exhibit to the Registration Statement) (the
     "Representatives' Warrants").  The Representatives' Warrants shall be
     allocated between each of the Representatives as the Company shall be
     advised in writing.

     2.   Delivery and Payment.  Delivery by the Company of the Firm Shares to
the Representatives for the respective accounts of the Underwriters, and payment
of the purchase price by certified or official bank check or checks payable in
New York Clearing House (next day) funds to the Company, shall take place at the
offices of Rodman & Renshaw, Inc., at 225 Liberty Street, 2 World Financial
Center, 30th Floor, New York, New York 10281, at 10:00 a.m., New York City time,
on the third business day following the date on which the public offering of the
Shares commences (unless such date is postponed in accordance with the
provisions of Section 10(b) hereof), or at such time and place on such other
date, not later than 10 business days after the date of this Agreement, as shall
be agreed upon by the Company and the Representatives (such time and date of
delivery and payment are called the "Firm Shares Closing Date").  The public
offering of the Shares shall be deemed to have commenced at the time which is
the earlier of (a) the time, after the Registration Statement (as defined in
Section 4 below) becomes effective, of the release by you for publication of the
first newspaper advertisement which is subsequently published relating to the
Shares or (b) the time, after the Registration Statement becomes effective, when
the Shares are first released by you for offering by the Underwriters or dealers
by letter or telegram.

     In the event the option with respect to the Option Shares is exercised,
delivery by the Company of the Option Shares to the Representatives for the
respective accounts of the Underwriters and payment of the purchase price by
certified or official bank check or checks payable in New York Clearing House
(next day) funds to the Company shall take place at the offices of Rodman &
Renshaw, Inc. specified above at the time and on the date (which may be the same
date as, but in no event shall be earlier than, the Firm Shares Closing Date)
specified in the notice referred to in Section 1(b) (such time and date of

                                      -2-

 
delivery and payment is called the "Option Shares Closing Date").  The Firm
Shares Closing Date and the Option Shares Closing Dates are called,
individually, a "Closing Date" and, together, the "Closing Dates."

     Certificates evidencing the Shares shall be registered in such names and
shall be in such denominations as the Representatives shall request at least two
full business days before the Firm Shares Closing Date or the Option Shares
Closing Date, as the case may be, and shall be made available to the
Representatives for checking and packaging, at such place as is designated by
the Representatives, on the full business day before the Firm Shares Closing
Date or the Option Shares Closing Date, as the case may be.

     3.   Public Offering.  The Company understands that the Underwriters
propose to make a public offering of the Shares, as set forth in and pursuant to
the Prospectus (as defined in Section 4 below), as soon after the effective date
of the Registration Statement and the date of this Agreement as the
Representatives deem advisable.  The Company hereby confirms that the
Underwriters and dealers have been authorized to distribute or cause to be
distributed each preliminary prospectus and are authorized to distribute the
Prospectus (as from time to time amended or supplemented).

     4.   Representations and Warranties of the Company.

          The Company represents and warrants to, and agrees with, the several
     Underwriters that:

                    (i) The Company has filed with the Securities and Exchange
          Commission (the "Commission") a registration statement, and may have
          filed one or more amendments thereto, on Form S-1 (Registration No.
          333-06661), including in such registration statement and each such
          amendment a related preliminary prospectus (a "Preliminary
          Prospectus"), for the registration of the Shares and the Option
          Shares, in conformity with the requirements of the Securities Act of
          1933, as amended (the "Act").  The Company may also file a related
          registration statement with the Commission pursuant to Rule 462(b)
          under the Act for the purpose of registering certain additional
          Shares, which registration shall be effective upon filing with the
          Commission.  As used in this Agreement, the term "Original
          Registration Statement" means such registration statement, as amended,
          on file with the Commission at the time such registration statement
          becomes effective (including the prospectus, financial statements,
          exhibits, and all other documents filed as a part thereof or
          incorporated by reference directly or indirectly therein), provided
          that such registration statement, at the time it becomes effective,
          may omit such information as is permitted to be omitted from the
          registration statement when it becomes effective pursuant to Rule 430A
          of the General Rules and Regulations promulgated under the Act (the
          "Regulations"), which information ("Rule 430A Information") shall be
          deemed to be included in such Registration Statement when a final
          prospectus is filed with the Commission in accordance with Rules 430A
          and 424(b)(1) or (4) of the Regulations; the term "Rule 462(b)
          Registration Statement" means any registration statement filed with
          the Commission pursuant to Rule 462(b) under the Act

                                      -3-

 
          (including the Original Registration Statement and any Preliminary
          Prospectus or Prospectus incorporated therein at the time the Original
          Registration Statement becomes effective); the term "Registration
          Statement" includes both the Original Registration Statement and any
          Rule 462(b) Registration Statement; the term "Preliminary Prospectus"
          means each prospectus included in the Registration Statement, or any
          amendments thereto, before it becomes effective under the Act, the
          form of prospectus omitting Rule 430A Information included in the
          Registration Statement when it becomes effective, if applicable (the
          "Rule 430A Prospectus"), and any prospectus filed by the Company with
          your consent pursuant to Rule 424(a) of the Regulations; and the term
          "Prospectus" means the final prospectus included as part of the
          Registration Statement, except that if the prospectus relating to the
          securities covered by the Registration Statement in the form first
          filed on behalf of the Company with the Commission pursuant to Rule
          424(b) of the Regulations shall differ from such final prospectus, the
          term "Prospectus" shall mean the prospectus as filed pursuant to Rule
          424(b) from and after the date on which it shall have first been used.

                    (ii) When the Registration Statement becomes effective, and
          at all times subsequent thereto to and including the Closing Dates,
          and during such longer period as the Prospectus may be required to be
          delivered in connection with sales by the Underwriters or a dealer,
          and during such longer period until any post-effective amendment
          thereto shall become effective, the Registration Statement (and any
          post-effective amendment thereto) and the Prospectus (as amended or as
          supplemented if the Company shall have filed with the Commission any
          amendment or supplement to the Registration Statement or the
          Prospectus) will contain all statements which are required to be
          stated therein in accordance with the Act and the Regulations, will
          comply with the Act and the Regulations, and will not contain any
          untrue statement of a material fact or omit to state any material fact
          required to be stated therein or necessary to make the statements
          therein not misleading, and no event will have occurred which should
          have been set forth in an amendment or supplement to the Registration
          Statement or the Prospectus which has not then been set forth in such
          an amendment or supplement; if a Rule 430A Prospectus is included in
          the Registration Statement at the time it becomes effective, the
          Prospectus filed pursuant to Rules 430A and 424(b)(1) or (4) will
          contain all Rule 430A Information; and each Preliminary Prospectus, as
          of the date filed with the Commission, did not include any untrue
          statement of a material fact or omit to state any material fact
          required to be stated therein or necessary to make the statements
          therein not misleading; except that no representation or warranty is
          made in this Section 4(a)(ii) with respect to statement or omissions
          made in reliance upon and in conformity with written information
          furnished to the Company as stated in Section 7(a) with respect to any
          Underwriter by or on behalf of such Underwriter through the
          Representatives expressly for inclusion in any Preliminary Prospectus,
          the Registration

                                      -4-

 
          Statement, or the Prospectus, or any amendment or supplement thereto.

                    (iii)  If the Company has elected to rely on Rule 462(b),
          then (i) the Company has filed a Rule 462(b) Registration Statement in
          compliance with and that is effective upon filing pursuant to Rule
          462(b) and has received confirmation of its receipt and (ii) the
          Company has given irrevocable instructions for transmission of the
          applicable filing fee in connection with the filing of the Rule 462(b)
          Registration Statement, in compliance with Rule 111 promulgated under
          the Act or the Commission has received payment of such filing fee.

                    (iv) Neither the Commission nor the "blue sky" or securities
          authority of any jurisdiction has issued an order (a "Stop Order")
          suspending the effectiveness of the Registration Statement, preventing
          or suspending the use of any Preliminary Prospectus, the Prospectus,
          the Registration Statement, or any amendment or supplement thereto,
          refusing to permit the effectiveness of the Registration Statement, or
          suspending the registration or qualification of the Firm Shares or the
          Option Shares nor has any of such authorities instituted or threatened
          to institute any proceedings with respect to a Stop Order.

                    (v) Any contract, agreement, instrument, lease, or license
          required to be described in the Registration Statement or the
          Prospectus has been properly described therein.  Any contract
          agreement, instrument, lease, or license required to be filed as an
          exhibit to the Registration Statement has been filed with the
          Commission as an exhibit to or has been incorporated as an exhibit by
          reference into the Registration Statement.

                    (vi) The Company has no subsidiary or subsidiaries and does
          not control, directly or indirectly, any corporation, partnership,
          joint venture, association or other business organization.  The
          Company is a corporation duly organized, validly existing, and in good
          standing under the laws of the jurisdiction of incorporation, with
          full corporate power and authority, and all necessary consents,
          authorizations, approvals, orders, licenses, certificates, and permits
          of and from, and declarations and filings with, all federal, state,
          local, foreign and other governmental authorities and all courts and
          other tribunals, to own, lease, license, and use its properties and
          assets and to carry on its business as now being conducted and in the
          manner described in the Prospectus.  The Company is duly qualified to
          do business and is in good standing in each jurisdiction in which its
          ownership, leasing, licensing, or character, location or use of
          property and assets or the conduct of its business makes such
          qualification necessary.

                    (vii)  The authorized capital stock of the Company consists
          of _______________ shares of Common Stock, of which _____________
          shares are outstanding; and _____________ shares of preferred stock,
          $.01 par value, of the Company of which _____ shares are outstanding.
          Each outstanding share of Common Stock has

                                      -5-

 
          been duly and validly authorized and issued, fully paid, and non-
          assessable, without any personal liability attaching to the ownership
          thereof and has not been issued and is not owned or held in violation
          of any preemptive rights of shareholders.  There is no commitment,
          plan, preemptive right or arrangement to issue, and no outstanding
          option, warrant, or other right calling for the issuance of, shares of
          capital stock of the Company or any security or other instrument which
          by its terms is convertible into, exercisable for, or exchangeable for
          capital stock of the Company, except as may be properly described in
          the Prospectus.  There is outstanding no security or other instrument
          which by its terms is convertible into or exchangeable for capital
          stock of the Company or of any Subsidiary, except as may be properly
          described in the Prospectus.

                    (viii)  The consolidated financial statements of the Company
          included in the Registration Statement and the Prospectus fairly
          present, with respect to the Company, the financial position, the
          results of operations, and the other information purported to be shown
          therein at the respective dates and for the respective periods to
          which they apply.  Such financial statements have been prepared in
          accordance with generally accepted accounting principles (except to
          the extent that certain footnote disclosures regarding any stub period
          may have been omitted in accordance with the applicable rules of the
          Commission under the Securities Exchange Act of 1934, as amended (the
          "Exchange Act") consistently applied throughout the periods involved,
          are correct and complete, and are in accordance with the books and
          records of the Company.  The accountants whose report on the audited
          financial statements is filed with the Commission as a part of the
          Registration Statement are, and for the periods covered by their
          report(s) included in the Registration Statement and the Prospectus
          were, independent certified public accountants with respect to the
          Company within the meaning of the Act and the Regulations.  No other
          financial statements are required by Form S-1 or otherwise to be
          included in the Registration Statement or the Prospectus.  There has
          at no time been a material adverse change in the financial condition,
          results of operations, business, properties, assets, liabilities, or
          future prospects of the Company from the latest information set forth
          in the Registration Statement or the Prospectus, except as may be
          properly described in the Prospectus.

                    (ix) There is no litigation, arbitration, claim,
          governmental or other proceeding (formal or informal), or
          investigation before any court or before any public body or board
          pending, threatened, or in prospect (or, to the best knowledge of the
          Company, any basis therefor) with respect to the Company, or any of
          its operations, business, properties, or assets, except as may be
          properly described in the Prospectus or such as individually or in the
          aggregate do not now have and will not in the future have a material
          adverse effect upon the operations, business, properties, assets or
          financial condition of the Company.  The Company is not involved in
          any labor dispute, nor is such dispute threatened, which dispute would
          have a material adverse effect upon

                                      -6-

 
          the operations, business, properties, assets or financial condition of
          the Company.  The Company is not in violation of, or in default with
          respect to, any law, rule, regulation, order, judgment, or decree
          which would have a material adverse effect upon the operations,
          business, properties, assets or financial conditions of the Company;
          nor is the Company required to take any corrective action in order to
          avoid any such violation or default.

                    (x) The Company has good title to all properties and assets
          which the Prospectus indicates are owned by it, and has valid and
          enforceable leasehold interests in each item of leased real property
          and personal property, free and clear of all liens, security
          interests, pledges, charges, encumbrances, and mortgages (except as
          may be properly described or as may not be required to be disclosed in
          the Prospectus).  No real property owned, leased, licensed or used by
          the Company lies in an area which is, or to the best knowledge of the
          Company is expected to be, subject to zoning, use or building code
          restrictions which would prohibit, and no state of facts relating to
          the actions or inaction of another person or entity or such person's
          or entity's ownership, leasing, licensing or use of any real or
          personal property exists or is expected to exist which would prevent,
          the continued effective ownership, leasing, licensing or use of such
          real property in the business of the Company as presently conducted or
          as the Prospectus indicates it contemplates conducting (except as may
          be properly described in the Prospectus).

                    (xi) Neither the Company nor, to the best knowledge of the
          Company, any other party is now or is expected by the Company to be in
          violation or breach of, or in default with respect to, complying with
          any term, obligation or provision of any contract, agreement,
          instrument, lease, license, indenture, mortgage, deed of trust, note,
          arrangement or understanding which is material to the Company or by
          which any of its properties or business may be bound or affected, and
          no event has occurred which with notice or lapse of time or both would
          constitute such a default (subject to the best knowledge of the
          Company with respect to third-party events constituting a default with
          the lapse of time or in which any required notice to the Company has
          not been given), and each such contract, agreement, instrument, lease,
          license, indenture, mortgage, deed of trust, note, arrangement or
          understanding is in full force and is the legal, valid and binding
          obligation of the parties thereto and is enforceable as to them
          (subject to the best knowledge of the Company with respect to third
          parties) in accordance with its terms except as such enforceability
          may be limited by bankruptcy, insolvency, reorganization and other
          laws affecting creditors' rights generally, and by general limitations
          in the availability of equitable remedies.  The Company enjoys
          peaceful and undisturbed possession under all leases and licenses
          under which it is operating.  The Company is not a party to or bound
          by any contract, agreement, instrument, lease, license, indenture,
          mortgage, deed of trust, note, arrangement or understanding, or
          subject to any charter or other restriction, which has had or is
          expected to have a material adverse effect on

                                      -7-

 
          the financial condition, results of operations, business, properties,
          assets, liabilities or future prospects of the Company.  The Company
          is not in violation or breach of, or in default with respect to, any
          term of its articles of incorporation (or other charter document) or
          by-laws or of any franchise, license, permit, judgment, decree, order,
          statute, rule or regulation which default or violation with respect to
          any franchise, license, permit judgment, decree, order, statute, rule
          or regulation would have a material adverse effect on the operations,
          business, properties, assets or financial condition of the Company.

                    (xii)  The Company has filed all federal, state, local and
          foreign tax returns which are required to be filed through the date
          hereof, or has received extensions thereof, and has paid all taxes
          shown on such returns and all assessments received by it to the extent
          that the same are material and have become due.

                    (xiii)  All patents, patent applications, trademarks,
          trademark applications, trade names, service marks, copyrights,
          copyright applications, franchises, and other intangible properties
          and assets listed in the Registration Statement under "Business-
          Patents" (all of the foregoing being collectively herein called
          "Intangibles") that the Company owns, possesses or has pending, or
          under which it is licensed, are in good standing and, to the best
          knowledge of the Company, uncontested.  There is no right under any
          Intangible necessary to the business of the Company as presently
          conducted or that the Prospectus indicates the Company has that the
          Company does not have (except as may be so described in the
          Prospectus).  The Company has not infringed, is not infringing, and
          has not received any notice of infringement with respect to asserted
          Intangibles of others.  To the best knowledge of the Company, there is
          no infringement by others of Intangibles of the Company.  To the best
          knowledge of the Company, there is no Intangible of others which is
          expected to have a material adverse effect on the financial condition,
          results of operations, business, properties, assets, liabilities or
          future prospects of the Company.

                    (xiv)  Neither the Company nor, to the best knowledge of the
          Company, any director, officer, agent, employee or other person
          associated with or acting on behalf of the Company has, directly or
          indirectly: used any corporate funds for unlawful contributions,
          gifts, entertainment, or other unlawful expenses relating to political
          activity; made any unlawful payment to foreign or domestic government
          officials or employees or to foreign or domestic political parties or
          campaigns from corporate funds; violated any provision of the Foreign
          Corrupt Practices Act of 1977, as amended; or made any bribe, rebate,
          payoff, influence payment, kickback, or other unlawful payment.  No
          transaction has occurred between or among the Company and any of its
          officers or directors or any affiliates or affiliates of any such
          officer or director, except as described in the Prospectus or as may
          be omitted from the Prospectus in accordance with the Regulations.

                                      -8-

 
                    (xv) The Company has all requisite power and authority to
          execute, deliver and perform each of this Agreement and the
          Representatives' Warrants (collectively, the "Company Documents").
          All necessary corporate proceedings of the Company have been duly
          taken to authorize the execution, delivery and performance of each of
          the Company Documents.  This Agreement has been duly authorized,
          executed, and delivered by the Company, is the legal, valid and
          binding obligation of the Company, and is enforceable as to the
          Company in accordance with its terms and each of the other Company
          Documents have been duly authorized and when executed and delivered by
          the Company will be the legal, valid and binding obligation of the
          Company enforceable as to the Company in accordance with its terms
          (subject to applicable bankruptcy, insolvency, and other laws
          affecting the enforceability of creditors' rights generally and to
          general limitations on the availability of equitable remedies).  No
          consent, authorization, approval, order, license, certificate or
          permit of or from, or declaration or filing with, any federal, state,
          local or other governmental authority or any court or other tribunal
          is required by the Company for the execution, delivery or performance
          by the Company of the Company Documents (except filings under the Act
          which have been or will be made before the applicable Closing Date and
          such consents consisting only of consents under "blue sky" or
          securities laws which have been obtained at or prior to the date of
          this Agreement or others as have been made or obtained).  No consent
          of any party to any contract, agreement, instrument, lease, license,
          indenture, mortgage, deed of trust, note, arrangement or understanding
          to which the Company is a party, or to which any of its respective
          properties or assets are subject, is required for the execution,
          delivery or performance of the Company Documents, except as have been
          obtained, and the execution, delivery and performance of the Company
          Documents, will not violate, result in a breach of, conflict with,
          accelerate the due date of any payments under, or (with or without the
          giving of notice or the passage of time or both) entitle any party to
          terminate or call a default under any such contract, agreement,
          instrument, lease, license, indenture, mortgage, deed of trust, note,
          arrangement, or understanding, or violate or result in a breach of any
          term of the certificate of incorporation (or other charter document)
          or by-laws of the Company, or violate, result in a breach of, or
          conflict with any law, rule, regulation, order, judgment or decree
          binding on the Company or to which any of its operations, business,
          properties or assets are subject.

                    (xvi)  The Firm Shares and the Option Shares are duly and
          validly authorized.  The Firm Shares and the Option Shares, when
          delivered in accordance with this Agreement will be duly and validly
          issued, fully paid, and non-assessable, without any personal liability
          attaching to the ownership thereof, and will not be issued in
          violation of any preemptive rights of shareholders, optionholders,
          warrantholders and any other persons and the Underwriters will receive
          good title to the Firm Shares and the Option Shares purchased by them,
          respectively, free and clear of all liens, security interests,
          pledges, charges, encumbrances, shareholders' agreements and voting
          trusts.

                                      -9-

 
                    (xvii)  The Warrant Shares are validly authorized and
          reserved for issuance and, when issued and delivered upon exercise of
          the Representatives' Warrants, will be validly issued, fully paid and
          non-assessable, without any personal liability attaching to the
          ownership thereof, and will not be issued in violation of any
          preemptive rights of shareholders, optionholders, warrantholders and
          any other persons and the holders of the Representatives' Warrants
          will receive good title to the securities purchased by them,
          respectively, free and clear of all liens, security interests,
          pledges, charges, encumbrances, shareholders' agreements and voting
          trusts.

                    (xviii)  The Firm Shares, the Option Shares, the
          Representatives' Warrants, all of the classes of the Common Stock and
          the Preferred Stock conform to all statements relating thereto
          contained in the Registration Statement or the Prospectus.

                    (xix)  Subsequent to the respective dates as of which
          information is given in the Registration Statement and the Prospectus,
          and except as may otherwise be properly described therein, there has
          not been any material adverse change in the assets or properties,
          business or results of operations or financial condition of the
          Company, whether or not arising from transactions in the ordinary
          course of business; the Company has not sustained any material loss or
          interference with its business or properties from fire, explosion,
          earthquake, flood or other calamity, whether or not covered by
          insurance; since the date of the latest balance sheet included in the
          Registration Statement and the Prospectus, except as reflected in the
          Prospectus, the Company has not undertaken any liability or
          obligation, direct or contingent, except for liabilities or
          obligations undertaken in the ordinary course of business and except
          in connection with the issuance and sale of the Shares; and, except as
          reflected in the Prospectus, the Company has not (A) issued any
          securities or incurred any liability or obligation, primary or
          contingent, for borrowed money, (B) entered into any transaction not
          in the ordinary course of business, or (C) declared or paid any
          dividend or made any distribution on any of its capital stock or
          redeemed, purchased or otherwise acquired or agreed to redeem,
          purchase or otherwise acquire any shares of its capital stock.

                    (xx) Neither the Company nor, to the best knowledge of the
          Company, any of its officers, directors or affiliates (as defined in
          the Regulations), has taken or will take, directly or indirectly,
          prior to the termination of the underwriting syndicate contemplated by
          this Agreement, any action designed to stabilize or manipulate the
          price of any security of the Company, or which has caused or resulted
          in, or which might in the future reasonably be expected to cause or
          result in, stabilization or manipulation of the price of any security
          of the Company, to facilitate the sale or resale of any of the Firm
          Shares or the Option Shares.

                    (xxi)  The Company has obtained from each of its executive
          officers and directors, his or her enforceable written

                                      -10-

 
          agreement, in form and substance satisfactory to counsel for the
          Underwriters, that for a period of 180 days from the date on which the
          public offering of the Shares commences he or she will not, without
          the prior written consent of Rodman & Renshaw, Inc. ("Rodman"), on
          behalf of the Underwriters, offer, pledge, sell, contract to sell,
          grant any option for the sale of, or otherwise dispose of, directly or
          indirectly, any shares of Common Stock or other securities of the
          Company (or any security or other instrument which by its terms is
          convertible into, exercisable for, or exchangeable for shares of
          Common Stock or other securities of the Company, including, without
          limitation, any shares of Common Stock issuable under any employee
          stock options), beneficially owned by him or her.

                    (xxii)  The Company is not, and does not intend to conduct
          its business in a manner in which it would become, an "investment
          company" as defined in Section 3(a) of the Investment Company Act of
          1940 (the "Investment Company Act").

                    (xxiii)  All offers and sales of the Company's capital
          stock, prior to the date hereof, were at all relevant times exempt
          from the registration requirements of the Act, and were the subject of
          an available exemption from the registration requirements of all
          applicable state securities or blue sky laws.

                    (xxiv)  No person or entity has the right to require
          registration of shares of Common Stock or other securities of the
          Company because of the filing or effectiveness of the Registration
          Statement, except such persons or entities from whom written waivers
          of such rights have been received prior to the date hereof.

                    (xxv)  Except as may be set forth in the Prospectus, the
          Company has not incurred any liability for a fee, commission or other
          compensation on account of the employment of a broker or finder in
          connection with the transactions contemplated by this Agreement.

                    (xxvi)  No transaction has occurred between or among the
          Company or any of the Subsidiaries and any of their respective
          officers or directors or any affiliates of any such officer or
          director, that is required to be described in and is not described in
          the Registration Statement and the Prospectus.

                    (xxvii)  The Company has, and at each Closing Date will
          have, made all filings required to be made by it under the Exchange
          Act, and such filings, at the time they were made, complied in all
          material respects with the requirements of the Exchange Act, and the
          rules and regulations thereunder, and did not contain any untrue
          statement of a material fact or omit to state a material fact required
          to be stated therein or necessary to make the statements therein, in
          light of the circumstances under which they were made, not misleading.

                                      -11-

 
                    (xxviii)  The Common Stock, including the Shares, is
          authorized for quotation on the Nasdaq National Market upon official
          notice of issuance.

                    (xxix)  Neither the Company nor any of its affiliates is
          presently doing business with the government of Cuba or with any
          person or affiliate of any person located in Cuba.  If, at any time
          after the date that the Registration Statement is declared effective
          with the Commission or with the Florida Department of Banking and
          Finance (the "Florida Department"), whichever date is later, and prior
          to the end of the period referred to in the first clause of Section
          4(ii) hereof, the Company commences engaging in business with the
          government of Cuba or with any person or affiliate of any person
          located in Cuba, the Company will so inform the Florida Department
          within ninety days after such commencement of business in Cuba, and
          during the period referred to in Section 4(ii) hereof will inform the
          Florida Department within ninety days after any change occurs with
          respect to previously reported information.

     5.   Conditions of the Underwriters' Obligations.  The obligations of the
Underwriters under this Agreement are several and not joint.  The respective
obligations of the Underwriters to purchase the Shares are subject in the
Representatives' sole discretion, to each of the following terms and conditions:

          (a) The Prospectus shall have been timely filed with the Commission in
     accordance with Section 6(a)(i) of this Agreement; if the Original
     Registration Statement or any amendment thereto filed prior to the Firm
     Closing Date has not been declared effective as of the time of execution
     hereof, the Original Registration Statement or such amendment and, if the
     Company has elected to rely upon Rule 462(b), the Rule 462(b) Registration
     Statement shall be effective not later than the earlier of (i) 11:00 a.m.
     New York time, on the date on which the amendment to the registration
     statement originally filed with respect to the Shares or to the
     Registration Statement, as the case may be, containing information
     regarding the public offering price of the Shares has been filed with the
     Commission, and (ii) the time confirmations are sent or given as specified
     by Rule 462(b)(2) or, with respect to the Original Registration Statement,
     such later time and date as shall have been consented to by the
     Representatives.

          (b) No order preventing or suspending the use of any preliminary
     prospectus or the Prospectus shall have been or shall be in effect and no
     order suspending the effectiveness of the Registration Statement shall be
     in effect and no proceedings for such purpose shall be pending before or
     threatened by the Commission, and any requests for additional information
     on the part of the Commission (to be included in the Registration Statement
     or the Prospectus or otherwise) shall have been complied with to the
     satisfaction of the Representatives.

          (c) The representations and warranties of the Company contained in
     this Agreement and in the certificate delivered pursuant to Section 5(d)
     shall be true and correct when made and on and as of each Closing Date as
     if made on such date and the Company shall have performed all

                                      -12-

 
     covenants and agreements and satisfied all the conditions contained in this
     Agreement required to be performed or satisfied by it at or before such
     Closing Date.

          (d) The Representatives shall have received on each Closing Date, a
     certificate, addressed to the Representatives and dated such Closing Date,
     executed on behalf of the Company by the chief executive officer and the
     chief financial officer of the Company to the effect that the persons
     executing such certificate have carefully examined the Registration
     Statement, the Prospectus and this Agreement and that the representations
     and warranties of the Company in this Agreement are true and correct on and
     as of such Closing Date with the same effect as if made on such Closing
     Date and the Company has performed all covenants and agreements and
     satisfied all conditions contained in this Agreement required to be
     performed or satisfied by it at or prior to such Closing Date.

          (e) The Representatives shall have received at the time this Agreement
     is executed and on each Closing Date a signed letter from KPMG Peat Marwick
     LLP addressed to the Representatives and dated, respectively, the date of
     this Agreement and each such Closing Date, in form and scope reasonably
     satisfactory to the Representatives, with reproduced copies or signed
     counterparts thereof for each of the Underwriters confirming that they are
     independent accountants within the meaning of the Act and the Regulations,
     that the response to Item 10 of the Registration Statement is correct in so
     far as it relates to them and stating in effect that:

                    (i) in its opinion the audited financial statements and
          financial statement schedules included or incorporated by reference in
          the Registration Statement and the Prospectus and reported on by it
          comply as to form in all material respects with the applicable
          accounting requirements of the Act, the Exchange Act and the related
          published rules and regulations thereunder;

                    (ii) on the basis of a reading of the amounts included in
          the Registration Statement and the Prospectus under the heading
          "Selected Financial Data" which would not necessarily reveal matters
          of significance with respect to the comments set forth in such letter,
          a reading of the minutes of the meetings of the shareholders and
          directors of the Company, and inquiries of certain officials of the
          Company who have responsibility for financial and accounting matters
          of the Company as to transactions and events subsequent to the date of
          the latest audited financial statements, except as disclosed in the
          Registration Statement and the Prospectus, nothing came to their
          attention which caused them to believe that:

                    (A) the amounts in "Selected Financial Data," and included
               or incorporated by reference in the Registration Statement and
               the Prospectus do not agree with the corresponding amounts in the
               audited financial statements from which such amounts were
               derived; or

                                      -13-

 
                    (B) with respect to the Company, there were, at a specified
               date not more than five business days prior to the date of the
               letter, any decreases in net sales, income before income taxes
               and net income or any increases in long-term debt of the Company
               or any decreases in the capital stock, working capital or the
               shareholders' equity in the Company, as compared with the amounts
               shown on the Company's audited Balance Sheet for the fiscal year
               ended March 31, 1996 included in the Registration Statement or
               the audited Statement of Operations, for such year; and

                    (iii)  they have performed certain other procedures as a
          result of which they determined that information of an accounting,
          financial or statistical nature (which is limited to accounting,
          financial or statistical information derived from the general
          accounting records of the Company) set forth in the Registration
          Statement and the Prospectus and reasonably specified by the
          Representatives agrees with the accounting records of the Company.

          References to the Registration Statement and the Prospectus in this
     paragraph (e) are to such documents as amended and supplemented at the date
     of such letter.

          (f) The Representatives shall have received on each Closing Date from
     Dorsey & Whitney LLP, counsel for the Company, an opinion, addressed to the
     Representatives and dated such Closing Date, and in form and scope
     satisfactory to counsel for the Underwriters, with reproduced copies or
     signed counterparts thereof for each of the Underwriters, to the effect
     that:

                    (i) The Company is a corporation duly incorporated, validly
          existing, and in good standing under the laws of the State of
          Minnesota and has duly elected directors, held its first meeting of
          the board of directors, adopted by-laws, elected officers and received
          payment of any statutory minimum amount for capital stock  pursuant to
          the Minnesota Business Corporation Act.  The Company has full
          corporate power and authority to own, lease, license and use its
          properties and assets and to conduct its business in the manner
          described in the Prospectus.  To the knowledge of such counsel, the
          Company has no subsidiary and does not control, directly or
          indirectly, any corporation, partnership, joint venture, association
          or other business organization.  The Company is duly qualified to do
          business and is in good standing, in each state where the failure to
          be so qualified could have a material adverse effect on the operating
          condition (financial and otherwise) or business of the Company.

                    (ii) The Company has authorized, issued and outstanding
          capital stock as set forth under the caption "Capitalization" in the
          Prospectus.  The certificates evidencing the Shares are in due and
          proper legal form under the Minnesota Business Corporation Act.  Each
          outstanding share of Common Stock has been duly authorized and validly
          issued and is fully paid and

                                      -14-

 
          non-assessable, without any personal liability attaching solely to the
          ownership thereof, and, to the knowledge of such counsel, has not been
          issued and is not owned or held in violation of any preemptive right
          of shareholders.  To the knowledge of such counsel, there is no
          commitment, plan, or arrangement to issue, and no outstanding option,
          warrant, or other right calling for the issuance of, any share of
          capital stock of the Company or any security or other instrument which
          by its terms is convertible into, exercisable for, or exchangeable for
          capital stock of the Company, except as may be described in the
          Prospectus.  To the knowledge of such counsel, there is outstanding no
          security or other instrument which by its terms is convertible into,
          exercisable for or exchangeable for capital stock of the Company,
          except as may be described in the Prospectus.

                    (iii)  To the knowledge of such counsel, there is no
          litigation, arbitration, claim, governmental or other proceeding
          (formal or informal), or investigation before any court or before any
          public body or board pending, threatened, or in prospect with respect
          to the Company, or any of its respective operations, businesses,
          properties, assets, or financial condition which is required to be
          described in the Prospectus that is not described as required under
          the Act or the Exchange Act.

                    (iv) The issuance and sale of the Shares and
          Representatives' Warrants as described in the Prospectus, will not
          violate or conflict with, or constitute a breach or default with
          respect to, the articles of incorporation or bylaws of the Company, or
          any contract, agreement, instrument, lease, license, indenture,
          mortgage, deed of trust, note, arrangement or understanding known to
          such counsel to which the Company is a party.

                    (v) The Company has all requisite corporate power to
          execute, deliver and perform the Company Agreements and to issue and
          sell the Shares and to issue the Representatives' Warrants.  All
          necessary corporate proceedings of the Company have been taken to
          authorize the execution, delivery and performance by the Company of
          the Company Documents.  Each of the Company Documents has been duly
          authorized by all requisite corporate action, executed and delivered
          by the Company, is the legal, valid and binding obligation of the
          Company and (subject to applicable bankruptcy, insolvency, and other
          laws affecting the enforceability of creditors' rights generally and
          general limitations on the availability of equitable remedies) is
          enforceable as to the Company in accordance with its terms. No
          consent, authorization, approval, order, license, certificate or
          permit of or from, or declaration or filing with, any federal state,
          local or other governmental authority or any court or other tribunal
          is required by the Company, for the execution and delivery by the
          Company of the Company Documents and the issuance and sale of the
          Shares and Representatives' Warrants as contemplated by the
          Registration Statement (except filings under the Act and the Exchange
          Act which have been made prior to the Closing Date and consents
          consisting only of approvals and consents under "blue sky" or
          securities

                                      -15-

 
          laws).  To the knowledge of such counsel, no consent of any party to
          any contract, agreement, instrument, lease, license, indenture,
          mortgage, deed of trust, note, arrangement or understanding to which
          the Company is a party, or to which any of its respective properties
          or assets are subject, is required for the execution, delivery or
          performance of the Company Documents (except as have been obtained);
          and the execution, delivery and performance of the Company Documents
          will not violate, result in a breach of, conflict with, or (with or
          without the giving of notice or the passage of time or both) entitle
          any party to terminate or call a default under any such contract,
          agreement, instrument, lease, license, indenture, mortgage, deed of
          trust, note, arrangement or understanding, in each case known to such
          counsel, or violate or result in a breach of any term of the
          certificate of incorporation (or other charter document) or by-laws of
          the Company, or violate, result in a breach of, or conflict with any
          law, rule or regulation of the United States, the State of Minnesota
          or any government authority or regulatory body thereof or any, order,
          judgment, or decree  known to such counsel and binding on the Company
          or to which any of its respective operations, businesses, properties
          or assets are subject.

                    (vi) The Firm Shares and the Option Shares are duly and
          validly authorized.  Such opinion delivered at each of the Closing
          Dates shall state that each Share to be delivered on that date is duly
          and validly issued, fully paid, and non-assessable, with no personal
          liability attaching solely to the ownership thereof, and is not
          issued, to the knowledge of such counsel, in violation of any
          preemptive rights of shareholders, and the Underwriters have received
          good title to the Shares purchased by them from the Company for the
          consideration contemplated herein and in good faith and without notice
          of any adverse claim within the meaning of the Uniform Commercial
          Code, free and clear of any liens, security interests, pledges,
          charges, encumbrances, shareholders' agreements, voting trusts and
          other claims.  The Common Stock, the Firm Shares and the Option Shares
          conform substantially and in all material respects to the description
          thereof contained in the Registration Statement or the Prospectus.

                    (vii)  The Warrant Shares have been duly and validly
          reserved for issuance and, upon issuance, delivery and payment
          therefore, as described in the Representatives' Warrants, will be
          validly issued, fully paid and non-assessable, without any personal
          liability attaching solely to the ownership thereof, and will not be
          issued, to the knowledge of such counsel, in violation of any
          preemptive rights of shareholders, optionholders, warrantholders and
          any other persons.  The Representatives' Warrants have been duly and
          validly issued, fully paid, and non-assessable, with no personal
          liability attaching solely to the ownership thereof, and will not have
          been issued, to the knowledge of such counsel, in violation of any
          preemptive rights of stockholders, optionholders, warrantholders and
          any other persons, and the holders of the Representatives' Warrants
          will receive good title to the securities purchased by them from the
          Company, for the consideration

                                      -16-

 
          contemplated herein and in good faith and without  notice of any
          adverse claim within the meaning of the Uniform Commercial Code, free
          and clear of any liens, security interests, pledges, charges,
          encumbrances, stockholders' agreements, voting trusts and other
          claims.  The Warrant Shares and the Representatives' Warrants conform
          substantially and in all material respects to the description thereof
          contained in the Registration Statement or the Prospectus.

                    (viii)  Any contract, agreement, instrument, lease or
          license known to such counsel and required to be described in the
          Registration Statement or the Prospectus has been properly described
          therein.  Any contract, agreement, instrument, lease or license known
          to such counsel and required to be filed as an exhibit to the
          Registration Statement has been filed with the Commission as an
          exhibit to or has been incorporated as an exhibit by reference into
          the Registration Statement.

                    (ix) Insofar as statements in the Prospectus purport to
          summarize provisions of the Company's agreements and licenses with
          pharmaceutical and medical device companies, the Minnesota Business
          Corporation Act, the Company's lease for its facilities in
          Minneapolis, Minnesota, the Company' employee agreements, the
          Company's stock option plans, the Company's loan agreements, the
          Company's preferred, common and warrant purchase agreements and the
          Act and Exchange Act, such statements have been prepared or reviewed
          by such counsel and to the knowledge of such counsel, accurately
          reflect the provisions purported to be summarized and are correct in
          all material respects.

                    (x) The Company is not an "investment company" as defined in
          Section 3(a) of the Investment Company Act and, if the Company
          conducts its business as set forth in the Prospectus, will not become
          an "investment company" and will not be required to be registered
          under the Investment Company Act.

                    (xi) To the knowledge of such counsel, no person or entity
          has the right to require registration of shares of Common Stock or
          other securities of the Company because of the filing or effectiveness
          of the Registration Statement except such persons or entities from
          whom written waivers of such rights have been received prior to the
          Closing Date.

                    (xii)  The Registration Statement has become effective under
          the Act.  No Stop Order has been issued and no proceedings for that
          purpose have been instituted or, to the knowledge of such counsel, are
          threatened, pending or contemplated.

                    (xiii)  The Registration Statement, any Rule 430A
          Prospectus, and the Prospectus, and any amendment or supplement
          thereto (other than financial statements and other financial data and
          schedules which are or should be contained in any thereof, as to which
          such counsel need express no opinion), comply as to form

                                      -17-

 
          in all material respects with the requirements of the Act and the
          Regulations.

          In addition, such counsel shall state that such counsel has
participated in the preparation of the Registration Statement and the Prospectus
and in conferences with officers and other representatives of the Company,
representatives of the Representatives and representatives of the independent
accountants of the Company, at which conferences the contents of the
Registration Statement and the Prospectus and related matters were discussed
and, although such counsel has not independently verified and is not passing
upon and does not assume any responsibility for the accuracy, completeness or
fairness of the statements contained in the Registration Statement and the
Prospectus (except as specified in the foregoing opinion), on the basis of the
foregoing and relying as to materiality upon the representations of executive
officers of the Company after conferring with such executive officers, no facts
have come to the attention of such counsel which lead such counsel to believe
that the Registration Statement, except for the financial statements and other
financial and statistical data included therein as to which counsel need express
no statement, at the time it became effective contained any untrue statement of
a material fact or omitted to state a material fact required to be stated
therein or necessary to make the statements therein not misleading, or that the
Prospectus, or any Rule 430A Prospectus, except for the financial statements and
other financial and statistical data included therein as to which counsel need
express no statement, as amended or supplemented on the date thereof contained
any untrue statement of a material fact or omitted to state a material fact
necessary in order to make the statements therein, in the light of the
circumstances under which they were made, not misleading.

          In rendering their opinion as aforesaid, counsel may rely upon an
opinion or opinions, each dated the Closing Date, of other counsel retained by
the Company as to laws of any jurisdiction other than the Federal laws of the
United States and the laws of the State of Minnesota, provided that (1) each
such local counsel is reasonably acceptable to the Representatives and (2) such
reliance is expressly authorized by each opinion so relied upon and a copy of
each such opinion is addressed to the Representatives and is in form and
substance reasonably satisfactory to them and their counsel.  In addition, such
counsel may rely, as to matters of fact, to the extent such counsel deems
proper, on certificates of responsible officers of the Company, provided that
executed copies of such certificates are provided to the Representatives.

          (g) The Representatives shall have received on each Closing Date from
     Pennie & Edmonds, patent counsel for the Company, an opinion, addressed to
     the Representatives and dated such Closing Date, and in form and scope
     satisfactory to counsel for the Underwriters.

          (h) The Representatives shall have received on each Closing Date from
     Covington & Burling, FDA counsel for the Company, an opinion, addressed to
     the Representatives and dated such Closing Date, and in form and scope
     satisfactory to counsel for the Underwriters.

          (i) All proceedings taken in connection with the sale of the Firm
     Shares and the Option Shares as herein contemplated shall be satisfactory
     in form and substance to the Representatives and their counsel, and the
     Underwriters shall have received from Squadron, Ellenoff, Plesent &

                                      -18-

 
     Sheinfeld, LLP, a favorable opinion, addressed to the Representatives and
     dated such Closing Date, with respect to the Shares, the Registration
     Statement and the Prospectus, and such other related matters, as the
     Representatives may reasonably request, and the Company shall have
     furnished to Squadron, Ellenoff, Plesent & Sheinfeld, LLP, such documents
     as they may reasonably request for the purpose of enabling them to pass
     upon such matters.

          (j) On the Firm Shares Closing Date, the Company shall have issued to
     the Representatives, the Representatives' Warrants equal to 10% of the Firm
     Shares.

     6.   Covenants of the Company.

          (a) The Company covenants and agrees as follows:

                    (i) The Company shall use its best efforts to cause the
          Registration Statement to become effective as promptly as possible.
          If the Registration Statement has become or becomes effective with a
          form of prospectus omitting Rule 430A information, or filing of the
          Prospectus is otherwise required under Rule 424(b), the Company will
          file the Prospectus, properly completed, pursuant to Rule 424(b)
          within the time period prescribed and will provide evidence
          satisfactory to you of such timely filing.  The Company shall notify
          you immediately, and confirm such notice in writing, (A) when the
          Registration Statement and any post-effective amendment thereto become
          effective, (B) of the receipt of any comments from the Commission or
          the "blue sky" or securities authority of any jurisdiction regarding
          the Registration Statement, any post-effective amendment thereto, the
          Prospectus, or any amendment or supplement thereto, and (C) of the
          receipt of any notification with respect to a Stop Order.  The Company
          shall not file any amendment of the Registration Statement or
          supplement to the Prospectus unless the Company has furnished the
          Representatives a copy for its review prior to filing and shall not
          file any such proposed amendment or supplement to which the
          Representatives reasonably object.  The Company shall use its best
          efforts to prevent the issuance of any Stop Order and, if issued, to
          obtain as soon as possible the withdrawal thereof.

                    (ii) During the time when a Prospectus relating to the
          Shares is required to be delivered hereunder or under the Act or the
          Regulations, comply so far as it is able with all requirements imposed
          upon it by the Act, as now existing and as hereafter amended, and by
          the Regulations, as from time to time in force, so far as necessary to
          permit the continuance of sales of or dealings in the Shares in
          accordance with the provisions hereof and the Prospectus.  If, at any
          time when a prospectus relating to the Shares is required to be
          delivered under the Act and the Regulations, there shall occur any
          event as a result of which the Prospectus as then amended or
          supplemented would include any untrue statement of a material fact or
          omit to state any material fact necessary to make the statements
          therein in the light of the circumstances under which they were made
          not misleading, or if it

                                      -19-

 
          shall be necessary to amend or supplement the Prospectus to comply
          with the Act or the Regulations, the Company promptly shall prepare
          and file with the Commission, subject to the third sentence of
          paragraph (i) of this Section 6(a), an amendment or supplement which
          shall correct such statement or omission or an amendment which shall
          effect such compliance.

                    (iii)  The Company shall make generally available to its
          security holders and to the Representatives as soon as practicable,
          but not later than 45 days after the end of the 12-month period
          beginning at the end of the fiscal quarter of the Company during which
          the Effective Date (or 90 days if such 12-month period coincides with
          the Company's fiscal year), an earnings statement (which need not be
          audited) of the Company, covering such 12-month period, which shall
          satisfy the provisions of Section 11(a) of the Act or Rule 158 of the
          Regulations.

                    (iv) The Company shall furnish to the Representatives and
          counsel for the Underwriters, without charge, signed copies of the
          Registration Statement (including all exhibits and amendments thereto)
          and to each other Underwriter a copy of the Registration Statement
          (without exhibits thereto) and all amendments thereof and, so long as
          delivery of a prospectus by an Underwriter or dealer may be required
          by the Act or the Regulations, as many copies of any preliminary
          prospectus and the Prospectus and any amendments thereof and
          supplements thereto as the Representatives may reasonably request.

                    (v) The Company shall cooperate with the Representatives and
          their counsel in endeavoring to qualify the Shares for offer and sale
          under the laws of such jurisdictions as the Representatives may
          designate and shall maintain such qualifications in effect so long as
          required for the distribution of the Shares; provided, however, that
          the Company shall not be required in connection therewith, as a
          condition thereof, to qualify as a foreign corporation or to execute a
          general consent to service of process in any jurisdiction or subject
          itself to taxation as doing business in any jurisdiction.

                    (vi) For a period of five years after the date of this
          Agreement, the Company shall supply to the Representatives, and to
          each other Underwriter who may so request in writing, copies of such
          financial statements and other periodic and special reports as the
          Company may from time to time distribute generally to the holders of
          any class of its capital stock and to furnish to the Representatives a
          copy of each annual or other report it shall be required to file with
          the Commission.

                    (vii)  If the Company elects to rely on Rule 462(b), the
          Company shall both file a Rule 462(b) Registration Statement with the
          Commission in compliance with Rule 462(b) and pay the applicable fees
          in accordance with Rule 111 promulgated under the Act by the earlier
          of (i) 10:00 p.m. eastern time on the date of

                                      -20-

 
          this Agreement and (ii) the time confirmations are sent or given, as
          specified by Rule 462(b)(2).

                    (viii)  Without the prior written consent of Rodman, on
          behalf of the Underwriters, for a period of 180 days from the date on
          which a public offering of the Shares commences, the Company shall not
          issue, sell or register with the Commission or otherwise dispose of,
          directly or indirectly, any securities of the Company (or any
          securities convertible into or exercisable or exchangeable for
          securities of the Company), except for (A) the issuance of the Shares
          pursuant to the Registration Statement (B) the issuance of Common
          Stock upon the exercise of currently outstanding options and warrants
          or pursuant to outstanding contingent share agreements, (C) the
          issuance of options under plans disclosed in the Registration
          Statement, (D) the filing of a registration statement on Form S-8 or
          other comparable form in respect of the shares underlying the option
          plans disclosed in the Registration Statement and (E) the issuance of
          Common Stock in connection with acquisitions with consent not to be
          unreasonably withheld.

                    (ix) The Company shall use its reasonable efforts to assure
          that the restrictions set forth in the so-called "lock-up" agreements
          signed by certain shareholders of the Company are enforced.

                    (x) Prior to each Closing Date and for a period of 25 days
          thereafter, you shall be given reasonable written prior notice of any
          press release or other direct or indirect communication and of any
          press conference with respect to the Company, the financial
          conditions, results of operations, business, properties, assets,
          liabilities of the Company, or this offering.

                    (xi) On or before completion of this offering, the Company
          shall make all filings required under applicable securities laws and
          by the  Nasdaq National Market.

                    (xii)  Until expiration of the Representatives' Warrants,
          the Company shall keep reserved sufficient shares of Common Stock for
          issuance upon exercise thereof.

                    (xiii)  The Company will make all filings required to be
          made under the Exchange Act and such filings shall comply in all
          material respects with the Requirements of the Exchange Act and the
          rules and regulations thereunder.

                    (xiv)  Prior to each Closing Date and for a period of 25
          days thereafter, you shall be given reasonable written prior notice of
          any press release or other direct or indirect communication and of any
          press conference with respect to the Company, the financial condition,
          results of operations, business, properties, assets, liabilities of
          the Company, or this offering.

                    (xv)  The Company shall participate in conference calls
          designated and arranged by the Representatives on a quarterly basis in
          connection with the release of its quarterly earnings for a period of
          one year from the Firm Shares Closing Date, subject to any applicable
          law.

          (b) The Company agrees to pay, or reimburse if paid by the
     Representatives, whether or not the transactions contemplated hereby are

                                      -21-

 
     consummated or this Agreement is terminated, all of its costs and expenses
     relating to the registration and public offering of the Shares including
     those relating to: (i) the preparation, printing, filing and distribution
     of the Registration Statement including all exhibits thereto, each
     preliminary prospectus, the Prospectus, all amendments and supplements to
     the Registration Statement and the Prospectus, and any documents required
     to be delivered with any Preliminary Prospectus or the Prospectus, and the
     printing, filing and distribution of the Agreement Among Underwriters, this
     Agreement and related documents; (ii) the preparation and delivery of
     certificates for the Shares to the Underwriters; (iii) the registration or
     qualification of the Shares for offer and sale under the securities or Blue
     Sky laws of the various jurisdictions referred to in Section 6(a)(v),
     including the fees and disbursements of counsel for the Underwriters in
     connection with such registration and qualification and the preparation,
     printing, distribution and shipment of preliminary and supplementary Blue
     Sky memoranda; (iv) the furnishing (including costs of shipping and
     mailing) to the Representatives and to the Underwriters of copies of each
     preliminary prospectus, the Prospectus and all amendments or supplements to
     the Prospectus, and of the several documents required by this Section to be
     so furnished, as may be reasonably requested for use in connection with the
     offering and sale of the Shares by the Underwriters or by dealers to whom
     Shares may be sold; (v) the filing fees of the National Association of
     Securities Dealers, Inc. in connection with its review of the terms of the
     public offering; (vi) the furnishing (including costs of shipping and
     mailing) to the Representatives and to the Underwriters of copies of all
     reports and information required by Section 6(a)(vi); (vii) inclusion of
     the Shares for quotation on the Nasdaq National Market; and (viii) all
     transfer taxes, if any, with respect to the sale and delivery of the Shares
     by the Company to the Underwriters.  Except as otherwise contemplated by
     Section 9 hereof, the Underwriters will pay their own out-of-pocket
     expenses, including counsel fees and expenses to the extent not otherwise
     covered by clause (iii) above, and their own travel and travel-related
     expenses in connection with the offering and distribution of the Shares.
     Without limiting the Company's obligations set forth above, it agrees to
     pay all of its other costs and expenses incident to the performance of its
     obligations under this Agreement and the sale of the Shares by it
     hereunder.

     7.   Indemnification.

          (a) The Company agrees to indemnify and hold harmless each Underwriter
     and each person, if any, who controls any Underwriter within the meaning of
     Section 15 of the Act or Section 20 of the Exchange Act against any and all
     losses, claims, damages and liabilities, joint or several (including any
     reasonable investigation, legal and other expenses incurred in connection
     with, and any amount paid in settlement of, any action, suit or proceeding
     or any claim asserted), to which they, or any of them, may become subject
     under the Act, the Exchange Act or other Federal or state law or
     regulation, at common law or otherwise, insofar as such losses, claims,
     damages or liabilities arise out of or are based upon any untrue statement
     or alleged untrue statement of a material fact contained in any preliminary
     prospectus, the Registration Statement or the Prospectus or any amendment
     thereof or supplement thereto, or arise

                                      -22-

 
     out of or are based upon any omission or alleged omission to state therein
     such fact required to be stated therein or necessary to make such
     statements therein not misleading.  Such indemnity shall not inure to the
     benefit of any Underwriter (or any person controlling such Underwriter) on
     account of any losses, claims, damages or liabilities arising from the sale
     of the Shares to any person by such Underwriter if such untrue statement or
     omission or alleged untrue statement or omission was made in such
     preliminary prospectus, the Registration Statement or the Prospectus, or
     such amendment or supplement, in reliance upon and in conformity with
     information furnished in writing to the Company by the Representatives on
     behalf of any Underwriter specifically for use therein.  In no event shall
     the indemnification agreement contained in this Section 7(a) inure to the
     benefit of any Underwriter on account of any losses, claims, damages,
     liabilities or actions arising from the sale of the Shares upon the public
     offering to any person by such Underwriter if such losses, claims, damages,
     liabilities or actions arise out of, or are based upon, a statement or
     omission or alleged omission in a preliminary prospectus and if, in respect
     to such statement, omission or alleged omission, the Prospectus differs in
     a material respect from such preliminary prospectus, such that the
     Prospectus does not contain such untrue statement or such omission or
     alleged untrue statement or omission, and a copy of the Prospectus has not
     been sent or given to such person at or prior to the confirmation of such
     sale to such person.  This indemnity agreement will be in addition to any
     liability which the Company may otherwise have.

          (b) Each Underwriter agrees, severally and not jointly, to indemnify
     and hold harmless the Company, each person, if any, who controls the
     Company within the meaning of Section 15 of the Act or Section 20 of the
     Exchange Act, each director of the Company, and each officer of the Company
     who signs the Registration Statement, to the same extent as the foregoing
     indemnity from the Company to each Underwriter, but only insofar as such
     losses, claims, damages or liabilities arise out of or are based upon any
     untrue statement or omission or alleged untrue statement or omission which
     was made in any Preliminary Prospectus, any Rule 430A Prospectus, the
     Registration Statement or the Prospectus, or any amendment thereof or
     supplement thereto, which were made in reliance upon and in conformity with
     information furnished in writing to the Company by the Representatives on
     behalf of any Underwriter for specific use therein; provided, however, that
     except as otherwise provided in section 9 below the obligation of each
     Underwriter to indemnify the Company (including any controlling person,
     director or officer thereof) shall be limited to the net proceeds received
     or to be received by the Company from such Underwriter.  For all purposes
     of this Agreement, the public offering price and underwriting discounts and
     commissions set forth on the cover of the Prospectus, the stabilization
     language in the penultimate paragraph on page 2 of the Prospectus and the
     third paragraph under the caption "Underwriting" (except for the
     penultimate sentence thereof) constitute the only information furnished in
     writing by or on behalf of any Underwriter expressly for inclusion in any
     Preliminary Prospectus, any Rule 430A Prospectus, the Registration
     Statement or the Prospectus or any amendment or supplement thereto.

                                      -23-

 
          (c) Any party that proposes to assert the right to be indemnified
     under this Section will, promptly after receipt of notice of commencement
     of any action, suit or proceeding against such party in respect of which a
     claim is to be made against an indemnifying party or parties under this
     Section, notify each such indemnifying party of the commencement of such
     action, suit or proceeding, enclosing a copy of all papers served.  No
     indemnification provided for in Section 7(a) or 7(b) shall be available to
     any party who shall fail to give notice as provided in this Section 7(c) if
     the party to whom notice was not given was unaware of the proceeding to
     which such notice would have related and was materially prejudiced by the
     failure to give such notice but the omission so to notify such indemnifying
     party of any such action, suit or proceeding shall not relieve it from any
     liability that it may have to any indemnified party for contribution or
     otherwise than under this Section.  In case any such action, suit or
     proceeding shall be brought against any indemnified party and it shall
     notify the indemnifying party of the commencement thereof, the indemnifying
     party shall be entitled to participate in, and, to the extent that it shall
     wish, jointly with any other indemnifying party similarly notified, to
     assume the defense thereof, with counsel reasonably satisfactory to such
     indemnified party, and after notice from the indemnifying party to such
     indemnified party of its election so to assume the defense thereof and the
     approval by the indemnified party of such counsel, the indemnifying party
     shall not be liable to such indemnified party for any legal or other
     expenses, except as provided below and except for the reasonable costs of
     investigation subsequently incurred by such indemnified party in connection
     with the defense thereof.  The indemnified party shall have the right to
     employ its counsel in any such action, but the fees and expenses of such
     counsel shall be at the expense of such indemnified party unless (i) the
     employment of counsel by such indemnified party has been authorized in
     writing by the indemnifying parties, (ii) the indemnified party shall have
     reasonably concluded that there may be a conflict of interest between the
     indemnifying parties and the indemnified party in the conduct of the
     defense of such action (in which case the indemnifying parties shall not
     have the right to direct the defense of such action on behalf of the
     indemnified party), or (iii) the indemnifying parties shall not have
     employed counsel to assume the defense of such action within a reasonable
     time after notice of the commencement thereof, in each of which cases the
     reasonable fees and expenses of counsel shall be at the expense of the
     indemnifying parties.  An indemnifying party shall not be liable for any
     settlement of any action, suit, proceeding or claim effected without its
     written consent.

     8.   Contribution.  In order to provide for just and equitable contribution
in circumstances in which the indemnification provided for in Sections 7(a) and
(b) is due in accordance with its terms but for any reason is held to be
unavailable from the Company or the Underwriters, such as the Company and the
Underwriters shall contribute to the aggregate losses, claims, damages and
liabilities (including any investigation, legal and other expenses reasonably
incurred in connection with, and any amount paid in settlement of, any action,
suit or proceeding or any claims asserted, but after deducting any contribution
received by the Company from persons other than the Underwriters, persons who
control the Company within the meaning of the Act, officers of the Company who
signed the Registration Statement and directors of the Company, who

                                      -24-

 
may also be liable for contribution) to which the Company and one or more of the
Underwriters may be subject in such proportion as is appropriate to reflect the
relative benefits received by the Company on the one hand and the Underwriters
on the other from the offering of the Shares or, if such allocation is not
permitted by applicable law or indemnification is not available as a result of
the indemnifying party not having received notice as provided in Section 7
hereof, in such proportion as is appropriate to reflect not only the relative
benefits referred to above but also the relative fault of the Company and on the
one hand and the Underwriters on the other in connection with the statements or
omissions which resulted in such losses, claims, damages, liabilities or
expenses, as well as any other relevant equitable considerations.  The relative
benefits received by the Company and the Underwriters shall be deemed to be in
the same proportion as (x) the total proceeds from the Offering (net of
underwriting discounts but before deducting expenses) received by the Company
from the sale of the Shares, as set forth in the table on the cover page of the
Prospectus (but not taking into account the use of the proceeds of such sale of
Shares by the Company), bear to (y) the underwriting discount received by the
Underwriters, as set forth in the table on the cover page of the Prospectus.
The relative fault of the Company and the Underwriters shall be determined by
reference to, among other things, whether the untrue or alleged untrue statement
of a material fact related to information supplied by the Company, or the
Underwriters and the parties' relative intent, knowledge, access to information
and opportunity to correct or prevent such statement or omission.  The Company
and the Underwriters agree that it would not be just and equitable if
contribution pursuant to this Section 8 were determined by pro rata allocation
(even if the Underwriters were treated as one entity for such purpose) or by any
other method of allocation which does not take account of the equitable
considerations referred to above.  Notwithstanding the provisions of this
Section 8, (i) in no case shall any Underwriter (except as may be provided in
the Agreement Among Underwriters) be liable or responsible for any amount in
excess of the underwriting discount applicable to the Shares purchased by such
Underwriter hereunder, and (ii) the Company shall be liable and responsible
under this Section 8 for any amount in excess of the underwriting discount;
provided, however (i) that no person guilty of fraudulent misrepresentation
(within the meaning of Section 11(f) of the Act) shall be entitled to
contribution from any person who was not guilty of such fraudulent
misrepresentation.  For purposes of this Section 8, each person, if any, who
controls an Underwriter within the meaning of Section 15 of the Act or Section
20(a) of the Exchange Act shall have the same rights to contribution as such
Underwriter, and each person, if any, who controls the Company within the
meaning of the Section 15 of the Act or Section 20(a) of the Exchange Act, each
officer of the Company who shall have signed the Registration Statement and each
director of the Company shall have the same rights to contribution as the
Company, subject in each case to clauses (i), (ii) and (iii) in the immediately
preceding sentence of this Section 8.  Any party entitled to contribution will,
promptly after receipt of notice of commencement of any action, suit or
proceeding against such party in respect of which a claim for contribution may
be made against another party or parties under this Section, notify such party
or parties from whom contribution may be sought, but the omission so to notify
such party or parties from whom contribution may be sought shall not relieve the
party or parties from whom contribution may be sought from any other obligation
it or they may have hereunder or otherwise than under this Section.  No party
shall be liable for

contribution with respect to any action, suit, proceeding or claim settled
without its written consent.  The Underwriters' obligations to

                                      -25-

 
contribute pursuant to this Section 8 are several in proportion to their
respective underwriting commitments and not joint.

     9.   Termination.  This Agreement may be terminated with respect to the
Shares to be purchased on any Closing Date by the Representatives by notifying
the Company at any time prior to the purchase of the Shares:

          (a) in the absolute discretion of the Representatives at or before any
     Closing Date: (i) if on or prior to such date, any domestic or
     international event or act or occurrence has materially disrupted, or in
     the opinion of the Representatives will in the future materially disrupt,
     the securities markets; (ii) if there has occurred any new outbreak or
     material escalation of hostilities or other calamity or crisis the effect
     of which on the financial markets of the United States is such as to make
     it, in the judgment of the Representatives, inadvisable to proceed with the
     Offering; (iii) if there shall be such a material adverse change in general
     financial, political or economic conditions or the effect of international
     conditions on the financial markets in the United States such as to make
     it, in the judgment of the Representatives, inadvisable or impracticable to
     market the Shares; (iv) if trading in the Shares has been suspended by the
     Commission or trading generally on the New York Stock Exchange, Inc., the
     American Stock Exchange, Inc. or the Nasdaq National Market System has been
     suspended or limited, or minimum or maximum ranges for prices for
     securities shall have been fixed, or maximum ranges for prices for
     securities have been required, by said exchanges or by order of the
     Commission, the National Association of Securities Dealers, Inc., or any
     other governmental or regulatory authority; or (v) if a banking moratorium
     has been declared by any state or federal authority, or

          (b) at or before any Closing Date, if any of the conditions specified
     in Section 5 shall not have been fulfilled when and as required by this
     Agreement.

     If this Agreement is terminated pursuant to any of its provisions, the
Company shall not be under any liability to any Underwriter, and no Underwriter
shall be under any liability to the Company, except that (y) if this Agreement
is terminated by the Representatives or the Underwriters because of any failure,
refusal or inability on the part of the Company or all of them to comply with
the terms or to fulfill any of the conditions of this Agreement, the Company
will reimburse the Underwriters for all out-of-pocket expenses (including the
fees and disbursements of their counsel) incurred by them in connection with the
proposed purchase and sale of the Shares or in contemplation of performing their
obligations hereunder but not to exceed an aggregate of $25,000 and (z) no
Underwriter who shall have failed or refused to purchase the Shares agreed to be
purchased by it under this Agreement, without some reason sufficient hereunder
to justify cancellation or termination of its obligations under this Agreement,
shall be relieved of liability (without limitation as to amount) to the Company
or to the other Underwriters for all damages occasioned by its failure or
refusal.

     10.  Substitution of Underwriters.  If one or more of the Underwriters
shall fail (other than for a reason sufficient to justify the cancellation or
termination of this Agreement under Section 9) to purchase on any Closing Date

                                      -26-

 
the Shares agreed to be purchased on such Closing Date by such Underwriter or
Underwriters, the Representatives may find one or more substitute underwriters
to purchase such Shares or make such other arrangements as the Representatives
may deem advisable or one or more of the remaining Underwriters may agree to
purchase such Shares in such proportions as may be approved by the
Representatives, in each case upon the terms set forth in this Agreement.  If no
such arrangements have been made by the close of business on the business day
following such Closing Date:

          (a) if the number of Shares to be purchased by the defaulting
     Underwriters on such Closing Date shall not exceed 10% of the Shares that
     all the Underwriters are obligated to purchase on such Closing Date, then
     each of the nondefaulting Underwriters shall be obligated to purchase such
     Shares on the terms herein set forth in proportion to their respective
     obligations hereunder; provided, that in no event shall the maximum number
     of Shares that any Underwriter has agreed to purchase pursuant to Section 1
     be increased pursuant to this Section 10 by more than one-ninth of such
     number of Shares without the written consent of such Underwriter, or

          (b) if the number of Shares to be purchased by the defaulting
     Underwriters on such Closing Date shall exceed 10% of the Shares that all
     the Underwriters are obligated to purchase on such Closing Date, then the
     Company shall be entitled to an additional business day within which it
     may, but is not obligated to, find one or more substitute underwriters
     reasonably satisfactory to the Representatives to purchase such Shares upon
     the terms set forth in this Agreement.

     In any such case, either the Representatives or the Company shall have the
right to postpone the applicable Closing Date for a period of not more than five
business days in order that necessary changes and arrangements (including any
necessary amendments or supplements to the Registration Statement or Prospectus)
may be effected by the Representatives and the Company.  If the number of Shares
to be purchased on such Closing Date by such defaulting Underwriter or
Underwriters shall exceed 10% of the Shares that all the Underwriters are
obligated to purchase on such Closing Date, and none of the nondefaulting
Underwriters or the Company shall make arrangements pursuant to this Section
within the period stated for the purchase of the Shares that the defaulting
Underwriters agreed to purchase, this Agreement shall terminate with respect to
the Shares to be purchased on such Closing Date without liability on the part of
any nondefaulting Underwriter to the Company and without liability on the part
of the Company, except in both cases as provided in Sections 6(b), 7, 8 and 9.
The provisions of this Section shall not in any way affect the liability of any
defaulting Underwriter to the Company or the nondefaulting Underwriters arising
out of such default.  A substitute underwriter hereunder shall become an
Underwriter for all purposes of this Agreement.

     11.  Miscellaneous.  The respective agreements, representations,
warranties, indemnities and other statements of the Company or its officers, and
the Underwriters set forth in or made pursuant to this Agreement shall remain in
full force and effect, regardless of any investigation made by or on behalf of
any Underwriter or the Company or any of the officers, directors or controlling
persons referred to in Sections 7 and 8 hereof, and shall survive

                                      -27-

 
delivery of and payment for the Shares.  The provisions of Sections 6(b), 7, 8
and 9 shall survive the termination or cancellation of this Agreement.

     This Agreement has been and is made for the benefit of the Underwriters,
the Company and their respective heirs, executors, administrators, personal
representatives, successors and assigns and, to the extent expressed herein, for
the benefit of persons controlling any of the Underwriters, or the Company, and
directors and officers of the Company, and their respective successors and
assigns, and no other person shall acquire or have any right under or by virtue
of this Agreement.  The term "successors and assigns" shall not include any
purchaser of Shares from any Underwriter merely because of such purchase.

     All notices and communications hereunder shall be in writing and delivered
by mail, overnight courier, personal delivery, or by telefax if subsequently
confirmed by letter, (a) if to the Representatives, to Rodman & Renshaw, Inc.,
225 Liberty Street, 2 World Financial Center, 30th Floor, New York, New York
10281, and Attention: John J. Borer III, Managing Director, telecopy: (212) 416-
7439 and (b) if to the Company, to the Company's agent for service as such
agent's address appears on the cover page of the Registration Statement or
telecopy: (612) 553-1610, with a copy to Amy Lange, Esq. as such person's
address appears on the cover page of the Registration Statement.  Such notices
and communications shall be deemed received three days following the date of
dispatch if by mail, upon receipt if by overnight courier, upon confirmation if
by telefax or when made if by personal delivery.

     This Agreement shall be governed by and construed in accordance with the
laws of the State of New York without regard to principles of conflict of laws.

     This Agreement may be signed in any number of counterparts, each of which
shall be an original, with the same effect as if the signatures thereto and
hereto were upon the same instrument.

     All pronouns and any variations thereof shall be deemed to refer to the
masculine, feminine or neuter, singular or plural, as the identity of the person
or persons or entity or entities requires.

                                      -28-

 
     All section headings herein are for convenience of reference only and are
not part of this Agreement, and no construction or inference shall be derived
therefrom.

     Please confirm that the foregoing correctly sets forth the agreement among
us.

                              Very truly yours,

                              MEDI-JECT CORPORATION



                              By:
                                  ---------------------------------------------
                                 Name:  Franklin Pass, M.D.
                                 Title: President, Chief Executive Officer and
                                        Chairman of the Board of Directors

Confirmed on behalf of itself
and as a Representative of the several Underwriters
named in Schedule I annexed hereto:


RODMAN & RENSHAW, INC.


By:
   ---------------------------
   Name:  John J. Borer III
   Title: Managing Director


R. J. STEICHEN & COMPANY


By:
   ---------------------------
   Name:
          --------------------
   Title: Managing Director

                                      -29-

 
                                  SCHEDULE I



                                                           Number of Firm
                                                           Shares to be
     Name of Underwriter                                   Purchased
     -------------------                                   --------------
                                                         
 
Rodman & Renshaw, Inc................................

R. J. Steichen & Company.............................
                                                             ---------
Total                                                        2,200,000


                                      -30-