Exhibit 24

                               POWER OF ATTORNEY
        For Executing Section 16 Forms, Form 144 and Schedule 13D or 13G

    Know all by these present that the undersigned hereby constitutes
and appoints Marc H. Hedrick and Andrew Sims, or any of them signing
individually,
the undersigned's true and lawful attorney-in-fact to:

(1) execute for and on behalf of the undersigned, in the undersigned's
    capacity as an officer and/or director of Plus Therapeutics, Inc. (the
    "Company") (a) Forms 3, 4 and 5 (including amendments thereto) in accordance

    with Section 16(a) of the Securities Exchange Act of 1934 and the rules
    thereunder, (b) Form 144, and (c) Schedule 13D or Schedule 13G; and

(2) do and perform any and all acts for and on behalf of the undersigned
    that may be necessary or desirable to complete and execute any such Forms 3,

    4 and 5, Form 144, and Schedule 13D or Schedule 13G (including amendments
    thereto) and timely file such Forms or schedules with the SEC and any stock
    exchange, self-regulatory association or any other authority; and

(3) take any other action of any type whatsoever in connection with the
    foregoing that, in the opinion of such attorney-in-fact, may be of benefit
    to, in the best interest of, or legally required of the undersigned, it
    being understood that the documents executed by the attorney-in-fact on
    behalf of the undersigned pursuant to this Power of Attorney shall be in
    such form and shall contain such terms and conditions as the attorney-in-
    fact may approve in the attorney-in- fact's discretion.

    The undersigned hereby grants to the attorney-in-fact full power and
authority to do and perform all and every act and thing whatsoever requisite,
necessary or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that the attorney-in-fact shall lawfully do
or cause to be done by virtue of this Power of Attorney and the rights and
powers herein granted.  The undersigned acknowledges that the foregoing
attorney-in-fact, in serving in such capacity at the request of the undersigned,
is not assuming any of the undersigned's responsibilities to comply with Section
16 of the Securities Exchange Act of 1934.

     The undersigned agrees that such attorney-in-fact may rely entirely
on information furnished orally or in writing by the undersigned to the
attorney-in-fact.  The undersigned also agrees to indemnify and hold harmless
such attorney-in- fact against any losses, claims, damages or liabilities (or
actions in these respects) that arise out of or are based upon any untrue
statements or omissions of necessary facts in the information provided by the
undersigned to such attorney-in fact for purposes of executing, acknowledging,
delivering or filing Form 4 or Form 144 (including amendments thereto) and
agrees to reimburse the attorney-in-fact on demand for any legal or other
expenses reasonably incurred in connection with investigating or defending
against any such loss, claim, damage, liability or action.

     This Power of Attorney shall remain in full force and effect until
the undersigned is no longer required to file Forms 3, 4 and 5 with respect to
the undersigned's holdings of and transactions in securities issued by the
Company, unless earlier revoked by the undersigned in a signed writing delivered

to the foregoing attorney-in-fact.

     IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be

executed as of the date written below.



                  Signature: /s/Robert Lenk
                            --------------------
                  Printed Name: Robert Lenk
                            --------------------
                            Date: 4/1/2020