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Note 5 - Stockholders' Equity (Details Textual) - USD ($) |  |  |  |  |  |  |  |  |  | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Dec. 12, 2024 | May 06, 2024 | May 01, 2024 | Apr. 05, 2024 | Feb. 01, 2024 | Jan. 30, 2024 | Sep. 11, 2023 | Apr. 03, 2023 | Jan. 04, 2023 | Dec. 31, 2024 | Dec. 31, 2023 | Dec. 13, 2024
Common Stock, Shares Authorized (in shares) |  |  |  |  |  |  |  |  |  |  | 280,000,000 | 280,000,000 |
Common Stock, Par or Stated Value Per Share (in dollars per share) |  |  |  |  |  |  |  |  |  |  | $ 0.01 | $ 0.01 |
Reverse stock split fractional share settlement |  |  |  |  | 15 |  |  |  |  |  |  |  |
Common stock warrants | [1] |  |  |  |  |  |  |  |  |  | 6,745,213 |  |
Warrants exercise price of common stock warrants | [1] |  |  |  |  |  |  |  |  |  | $ 4.53 |  |
Common stock, shares issued (in shares) |  |  |  |  |  |  |  |  |  |  | 2,768,646 | 618,056 |
Common stock, shares outstanding (in shares) |  |  |  |  |  |  |  |  |  |  | 2,768,646 | 618,056 |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  |  |  |  | $ 8,435,000 | $ 9,419,000 |
Payment of equity issuance costs |  |  |  |  |  |  |  |  |  |  | 576,000 | 617,000 |
Warrants and Rights Outstanding |  |  |  |  |  |  |  |  |  |  | $ 6,745,213 | 272,211 |
Pre Funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  |  |  |  |  |  |  |  | 2,027,000 |  | 3,120,688
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  |  |  | $ 0.0001
Replacement Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  |  |  | $ 10.97 |  |  |  |  |  |  |
Date of issuance of warrant |  |  |  |  |  | 5 years |  |  |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Offering shares (Per share) |  |  |  |  | 15 |  |  |  |  |  |  |  |
Reverse stock split fractional share settlement | [2] |  |  |  |  |  |  |  |  |  | (102) |  |
Common Stock [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse stock split fractional share settlement |  |  |  |  | 12,771,015 |  |  |  |  |  |  |  |
Common Stock [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse stock split fractional share settlement |  |  |  |  | 851,302 |  |  |  |  |  |  |  |
Private Placement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  | 922,863 |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  | $ 6.314 |  |  |  |  |  |  |  |  |
Date of issuance of warrant |  |  |  | 7 years |  |  |  |  |  |  |  |  |
Private Placement [Member] | Pre Funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  | 530,142 |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  | 6.5014 |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  | $ 0.0001 |  |  |  |  |  |  |  |  |
December 2024 Offering Common Stock Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  |  |  |  |  | 3,278,688 |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  | $ 1.4 |  |
May Two Thousand Twenty Four Offering [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  |  |  |  |  | 922,863 |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  | $ 1.4 |  |
Proceeds from issuance of common stock and warrants |  |  | $ 4,000,000 |  |  |  |  |  |  |  |  |  |
Payment of equity issuance costs |  |  | 500,000 |  |  |  |  |  |  |  |  |  |
Net Proceeds |  |  | 3,500,000 |  |  |  |  |  |  |  |  |  |
Grant date fair value |  |  | $ 200,000 |  |  |  |  |  |  |  |  |  |
Sale of stock during period |  |  |  | 85,100 |  |  |  |  |  |  |  |  |
May Two Thousand Twenty Four Offering [Member] | Unregistered Shares [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Shares Sold, Price Per Share |  |  |  | $ 6.5015 |  |  |  |  |  |  |  |  |
May 2024 Placement Agent Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  | 36,914 |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  | $ 10.727 |  |  |  |  |  |  |  |  |
Date of issuance of warrant |  |  |  | 5 years |  |  |  |  |  |  |  |  |
February 2024 Warrant Inducement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  |  |  |  | 228,162 |  |  |  |  |  |
Net proceeds from exercise of warrants |  |  |  |  |  | $ 2,200,000 |  |  |  |  |  |  |
Gross proceeds from the exercise of warrants |  |  |  |  |  | 2,500,000 |  |  |  |  |  |  |
Cash transaction-related expenses And placement agent fees |  |  |  |  |  | 300,000 |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  | 228,162 |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  | $ 10.97 |  |  |  |  |  |
Total equity issuance costs |  |  |  |  |  |  | $ 2,400,000 |  |  |  |  |  |
Payment of equity issuance costs |  |  |  |  |  | $ 2,000,000 | 300,000 |  |  |  |  |  |
Non-cash warrant modification costs |  |  |  |  |  |  | $ 2,000,000 |  |  |  |  |  |
February 2024 Warrant Inducement [Member] | Replacement Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  |  |  |  | 228,162 |  |  |  |  |  |
February 2024 Warrant Inducement [Member] | May 2022 Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  | 4,865 |  |  |  |  |  |
February 2024 Warrant Inducement [Member] | Series 2 Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  | 4,267 |  |  |  |  |  |
February 2024 Warrant Inducement [Member] | January 2023 Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  | 67,511 |  |  |  |  |  |
February 2024 Warrant Inducement [Member] | April 2023 Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  |  |  |  |  |  | 151,519 |  |  |  |  |  |
Placement Agent Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  | $ 10.97 |  |  |  |  |  |
Date of issuance of warrant |  |  |  |  |  |  | 5 years |  |  |  |  |  |
Out-of-pocket expenses |  |  |  |  |  |  | $ 35,000 |  |  |  |  |  |
Non-cash warrant issuance costs |  |  |  |  |  |  | $ 100,000 |  |  |  |  |  |
Percentage of gross proceeds |  |  |  |  |  |  | 7.75% |  |  |  |  |  |
Percentage of share issued |  |  |  |  |  |  | 6.00% |  |  |  |  |  |
December 2022 Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  |  |  |  | $ 2,500,000 | 2,800,000 |
Net Proceeds |  |  |  |  |  |  |  |  |  |  |  | $ 1,400,000 |
Series A 4.5% Convertible Preferred Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares authorized (in shares) |  |  |  |  |  |  |  |  |  |  | 1,000,000 |  |
Preferred Stock, Par or Stated Value Per Share (in dollars per share) |  |  |  |  |  |  |  |  |  |  | $ 0.01 |  |
Convertible Preferred Stock, Issuable Upon Conversion of All Shares (in shares) |  |  |  |  |  |  |  |  |  |  | 8 |  |
Series A Preferred Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Preferred stock, shares authorized (in shares) |  |  |  |  |  |  |  |  |  |  | 7,000,000 | 7,000,000 |
Preferred Stock, Par or Stated Value Per Share (in dollars per share) |  |  |  |  |  |  |  |  |  |  | $ 0.01 | $ 0.01 |
Common stock, shares issued (in shares) |  |  |  |  |  |  |  |  |  |  | 200,000 |  |
Common stock, shares outstanding (in shares) |  |  |  |  |  |  |  |  |  |  | 200,000 |  |
Convertible Preferred Stock issued and outstanding |  |  |  |  |  |  |  |  |  |  | 200,000 |  |
December 2024 Offering [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares of common stock |  |  |  |  |  |  |  |  |  |  | 196,721 |  |
Option to purchase shares of Company's common stock |  |  |  |  |  |  |  |  |  |  | 491,803 |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  | $ 1.4 |  |
Date of issuance of warrant |  |  |  |  |  |  |  |  |  |  | 5 years |  |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  |  |  |  | $ 5,000,000 |  |
Payment of equity issuance costs |  |  |  |  |  |  |  |  |  |  | 900,000 |  |
Net Proceeds |  |  |  |  |  |  |  |  |  |  | 4,100,000 |  |
Grant date fair value |  |  |  |  |  |  |  |  |  |  | $ 300,000 |  |
December 2024 Offering [Member] | Pre Funded Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  | $ 0.0001 |  |
December 2024 Offering [Member] | Class A Units [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock, Par or Stated Value Per Share (in dollars per share) |  |  |  |  |  |  |  |  |  |  | $ 0.01 |  |
Offering shares (Per share) |  |  |  |  |  |  |  |  |  |  | 158,000 |  |
Underwriting agreement, per share |  |  |  |  |  |  |  |  |  |  | $ 1.525 |  |
December 2024 Offering [Member] | Class B Units [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Offering shares (Per share) |  |  |  |  |  |  |  |  |  |  | 3,120,688 |  |
Underwriting agreement, per share |  |  |  |  |  |  |  |  |  |  | $ 1.5249 |  |
December 2024 Offering [Member] | December 2024 Representative Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  |  |  |  |  |  |  |  |  |  | $ 2.51625 |  |
December 2024 Offering [Member] | Repriced Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Common stock warrants |  | 1,040,217 |  |  |  |  |  |  |  |  |  |  |
Warrants exercise price of common stock warrants |  | $ 1.4 |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of common stock and warrants |  | $ 5,000,000 |  |  |  |  |  |  |  |  |  |  |
Payment of equity issuance costs |  | $ 300,000 |  |  |  |  |  |  |  |  |  |  |
Incremental fair value of Warrants |  |  |  |  |  |  |  |  |  |  | $ 300,000 |  |
September 2023 Offering [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  | $ 2,000,000 |  |  |  |  |
Payment of equity issuance costs |  |  |  |  |  |  |  | 300,000 |  |  |  |  |
Net Proceeds |  |  |  |  |  |  |  | $ 1,700,000 |  |  |  |  |
April 2023 Offering [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  |  | $ 6,000,000 |  |  |  |
Payment of equity issuance costs |  |  |  |  |  |  |  |  | 700,000 |  |  |  |
Net Proceeds |  |  |  |  |  |  |  |  | $ 5,300,000 |  |  |  |
January 2023 Offering [Member] |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of common stock and warrants |  |  |  |  |  |  |  |  |  | $ 2,500,000 |  |  |
Payment of equity issuance costs |  |  |  |  |  |  |  |  |  | 300,000 |  |  |
Net Proceeds |  |  |  |  |  |  |  |  |  | $ 2,200,000 |  |  |
[1] | (1) The pre-funded common stock warrants granted and outstanding during the year ended December 31, 2024 have a perpetual term and are therefore excluded from the calculation of the weighted average remaining contractual life.
[2] | (*) Adjusted to reflect the 1-for-15 reverse stock split effected on April 5, 2024.

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