Note 7 - Stockholder's Equity (Details Textual) | | | | | | | 3 Months Ended | 9 Months Ended | | | | | | | | | | | | | |
Jun. 24, 2024 shares | May 10, 2024 USD ($) $ / shares | May 01, 2024 USD ($) | Apr. 25, 2024 shares | Jan. 05, 2024 USD ($) $ / shares shares | Feb. 03, 2023 USD ($) | Sep. 30, 2024 USD ($) $ / shares shares | Mar. 31, 2024 $ / shares shares | Sep. 30, 2023 USD ($) | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) $ / shares shares | Jun. 30, 2024 $ / shares | May 31, 2024 $ / shares shares | Apr. 28, 2024 $ / shares shares | Jan. 31, 2024 $ / shares shares | Jan. 09, 2024 $ / shares shares | Dec. 31, 2023 $ / shares shares | Nov. 30, 2023 $ / shares shares | Jan. 31, 2023 $ / shares shares | Jan. 30, 2023 shares | Sep. 22, 2022 | Dec. 31, 2021 shares | Sep. 13, 2019 $ / shares | Sep. 13, 2016 shares |
Preferred Stock, Shares Authorized (in shares) | | | | | | | 2,000,000 | | | 2,000,000 | | | | | | | 2,000,000 | | | | | | | 2,000,000 |
Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | | | | | | | $ 0.0001 | | | $ 0.0001 | | | | | | | $ 0.0001 | | | | | | | |
Common Stock, Shares Authorized (in shares) | | | | | | | 200,000,000 | | | 200,000,000 | | | | | | 200,000,000 | 75,000,000 | | | | | | | |
Stockholders' Equity Note, Stock Split, Conversion Ratio | | | | | | | | | | 75 | | | | | | | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | | | $ 8.64 | $ 29.5 | | $ 8.64 | | $ 8.64 | | | | | $ 32.42 | | | | | | | |
Fair Value Adjustment of Warrants | $ | | | | | | | $ (18,000) | | $ (2,572,000) | $ (157,000) | $ (1,544,000) | | | | | | | | | | | | | |
Proceeds from Warrant Exercises | $ | | | | | | | | | | $ 9,421,000 | 0 | | | | | | | | | | | | | |
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | | $ 0.0001 | | | | | $ 0.0001 | | | $ 0.0001 | | | | | | $ 0.0001 | $ 0.0001 | | | | | | | |
Proceeds from Issuance of Common Stock | $ | | | | | | | | | | $ 862,000 | $ 0 | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period (in shares) | | | | | | | 0 | 283,000 | | | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross (in shares) | | | | | | | | | | 234,000 | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share) | $ / shares | | | | | | | | | | $ 2.15 | $ 85.5 | | | | | | | | | | | | | |
Invagen Pharmaceuticals Inc [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Contingent Fee, Percentage of Proceeds of Future Financings | | | | | | 7.50% | | | | | | | | | | | | | | | | | | |
Contingent Fee, Maximum Allowable Amount | $ | | | | | | $ 4,000,000 | | | | | | | | | | | | | | | | | | |
Payment of Contingent Fee | $ | | | | | | | | | | $ 700,000 | | | | | | | | | | | | | | |
Restricted Stock Units (RSUs) [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount | $ | | | | | | | $ 500,000 | | | $ 500,000 | | | | | | | | | | | | | | |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year) | | | | | | | | | | 1 year 1 month 6 days | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Vested in Period (in shares) | | | | | | | | | | 45 | | | | | | | | | | | | | | |
Deferred Restricted Stock Units [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Non-Option Equity Instruments, Outstanding, Number (in shares) | | | | | | | 235,000 | | | 235,000 | | | | | | | | | | | | | | |
Share-Based Payment Arrangement, Option [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition (Year) | | | | | | | | | | 1 year 3 months 18 days | | | | | | | | | | | | | | |
Share-Based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount | $ | | | | | | | $ 900,000 | | | $ 900,000 | | | | | | | | | | | | | | |
Two Thousand Fifteen Incentive Plan [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized (in shares) | 5,070,223 | | | | | | | | | | | | | | | | | | | | | 3,556 | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares) | | | | | | | 4,575,701 | | | 4,575,701 | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Period (Year) | 10 years | | | | | | | | | | | | | | | | | | | | | | | |
Two Thousand Fifteen Incentive Plan [Member] | Maximum [Member] | Incentive Stock Options [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares) | 5,000,000 | | | | | | | | | | | | | | | | | | | | | | | |
Two Thousand Fifteen Incentive Plan [Member] | Maximum [Member] | Share-Based Payment Arrangement, Nonemployee [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized (in shares) | | | | | | | | | | | | | | | | | | | | 70,223 | | | | |
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares) | 500,000 | | | | | | | | | | | | | | | | | | | | | | | |
January 2023 Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | | | | | | 25,871 | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | $ 22.545 | | | | | | | | | | | | | | $ 116.25 | | | | | |
Fair Value Adjustment of Warrants | $ | | | | | $ 100,000 | | | | | | | | | | | | | | | | | | | |
November 2023 Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | 221,333 | | | | 194,667 | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | $ 22.545 | | | | | | | | | $ 22.545 | | | | $ 22.545 | | | | | | |
New Series A Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | 220,538 | | | | | | | | | | | | | | | | | | | |
Warrants and Rights Outstanding, Term (Year) | | | | | 5 years | | | | | | | | | | | | | | | | | | | |
Warrants and Rights Issued Classified as Deemed Dividend | $ | | | | | $ 600,000 | | | | | | | | | | | | | | | | | | | |
New Series B Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | 220,538 | | | | | | | | | | | | | | | | | | | |
Warrants and Rights Issued Classified as Deemed Dividend | $ | | | | | $ 4,300,000 | | | | | | | | | | | | | | | | | | | |
Existing Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Proceeds from Warrant Exercises | $ | | | | | $ 4,500,000 | | | | | | | | | | | | | | | | | | | |
October 2022 Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | 27,271 | | | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | | | | | | | | | | $ 116.25 | | | | | | | | | | |
Fair Value Adjustment of Warrants | $ | | | $ (100,000) | | | | | | | | | | | | | | | | | | | | | |
January 2024 Warrant Inducement [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | 441,076 | 25,871 | | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | | | | | | | | | | $ 22.545 | $ 22.545 | | | | | | | | | |
May 2024 Warrant Inducement [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | 689,680 | | | | | | | | | | | |
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares | | | | | | | | | | | | | $ 6.2 | 6.2 | | | | | | | | | | |
Fair Value Adjustment of Warrants | $ | | | 200,000 | | | | | | | | | | | | | | | | | | | | | |
Warrants and Rights Issued Classified as Deemed Dividend | $ | | | 4,500,000 | | | | | | | | | | | | | | | | | | | | | |
Proceeds from Warrant Exercises | $ | | | $ 3,700,000 | | | | | | | | | | | | | | | | | | | | | |
Warrant Payment, Price Per Share (in dollars per share) | $ / shares | | | | | | | | | | | | | | $ 0.125 | | | | | | | | | | |
New Class C Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | 689,680 | | | | | | | | | | |
New Class D Warrants [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares) | | | | | | | | | | | | | | 689,680 | | | | | | | | | | |
Shelf [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Securities, Remaining Available for Sale, Amount | $ | | | | | | | $ 24,100,000 | | | $ 24,100,000 | | | | | | | | | | | | | | |
ATM Agreement [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Offering Agreement, Maximum Amount | $ | | $ 3,850,000 | | | | | | | | | | | | | | | | | | | | | | |
Commission Fee, Percent Fee | | 3% | | | | | | | | | | | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues (in shares) | | | | | | | 160,934 | | | 245,617 | | | | | | | | | | | | | | |
Proceeds from Issuance of Common Stock | $ | | | | | | | $ 600,000 | | | $ 900,000 | | | | | | | | | | | | | | |
Common Stock [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Stock Issued During Period, Shares, Reverse Stock Splits (in shares) | | | | 86,518 | | | | | | 86,542 | | | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues (in shares) | | | | | | | | | | 53,586 | 4,997 | | | | | | | | | | | | | |
Common Stock [Member] | ATM Agreement [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Stock Issued During Period, Shares, New Issues (in shares) | | | | | | | 160,934 | | | 245,617 | | | | | | | | | | | | | | |
Reverse Stock Split [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Stockholders' Equity Note, Stock Split, Conversion Ratio | | | | 75 | | | | | | | | | | | | | | | | | | | | |
Preferred Class A [Member] | | | | | | | | | | | | | | | | | | | | | | | | |
Preferred Stock, Shares Authorized (in shares) | | | | | | | | | | | | | | | | | | | | | | | | 250,000 |
Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | | | | | | | | | | | | | | | | | | | | | | | $ 0.0001 | |
Preferred Stock, Convertible, Conversion Ratio | | | | | | | | | | | | | | | | | | | | | 1,125 | | | |