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Note 2 - Summary of Significant Accounting Policies (Details Textual) |  | 3 Months Ended | 9 Months Ended | 11 Months Ended |  |  |
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Jul. 11, 2024 USD ($) $ / shares | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) | Sep. 30, 2024 USD ($) $ / shares shares | Sep. 30, 2023 USD ($) | Aug. 31, 2024 USD ($) | Apr. 09, 2024 USD ($) | Dec. 31, 2023 USD ($) $ / shares | Oct. 31, 2023 USD ($)
Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares |  | $ 0.0001 |  | $ 0.0001 |  |  |  | $ 0.0001 |
Inventory, Raw Materials, Gross |  | $ 114,000 |  | $ 114,000 |  |  |  | $ 23,000 |
Inventory, Finished Goods, Gross |  | 14,000 |  | 14,000 |  |  |  | $ 14,000 |
Research and Development Expense |  | 4,471,000 | $ 5,972,000 | 14,490,000 | $ 19,982,000 |  |  |  |
Grant Funding on Conditional Grants [Member] |  |  |  |  |  |  |  |  |
Research and Development Expense |  | 1,300,000 | $ 200,000 | 3,300,000 | $ 300,000 |  |  |  |
NIH Grant Total [Member] |  |  |  |  |  |  |  |  |
Government Assistance, Award Amount |  |  |  |  |  |  |  |  | $ 45,100,000
Subawards [Member] |  |  |  |  |  |  |  |  |
Government Assistance, Award Amount |  |  |  |  |  |  | $ 7,300,000 |  |
Government Assistance, Cash Receipt |  |  |  |  |  | $ 4,700,000 |  |  |
Accrued Expense Reimbursement |  | $ 700,000 |  | $ 700,000 |  |  |  |  |
Reverse Recapitalization [Member] | Clene Nanomedicine Contingent Earn-out [Member] |  |  |  |  |  |  |  |  |
Business Combination, Contingent Earnout Shares, Milestone One (in shares) | shares |  | 166,928 |  | 166,928 |  |  |  |  |
Business Combination, Contingent Earnout, Milestone One, Minimum Price (in dollars per share) | $ / shares |  | $ 300 |  | $ 300 |  |  |  |  |
Business Combination, Contingent Earnout, Milestone One, Consecutive Trading Days (Day) |  |  |  | 20 days |  |  |  |  |
Business Combination, Contingent Earnout, Milestone One, Trading Day Period (Day) |  |  |  | 30 days |  |  |  |  |
Business Combination, Contingent Earnout, Milestone One, Period (Year) |  |  |  | 3 years |  |  |  |  |
Business Combination, Contingent Earnout Shares, Milestone Two (in shares) | shares |  | 125,200 |  | 125,200 |  |  |  |  |
Business Combination, Contingent Earnout, Milestone Two, Minimum Price (in dollars per share) | $ / shares |  | $ 400 |  | $ 400 |  |  |  |  |
Business Combination, Contingent Earnout, Milestone Two, Consecutive Trading Days (Day) |  |  |  | 20 days |  |  |  |  |
Business Combination, Contingent Earnout, Milestone Two, Trading Day Period (Day) |  |  |  | 30 days |  |  |  |  |
Business Combination, Contingent Earnout, Milestone Two, Period (Year) |  |  |  | 5 years |  |  |  |  |
Business Combination, Contingent Earnout, Milestone Two, Change of Control Period (Year) |  |  |  | 5 years |  |  |  |  |
Reverse Recapitalization [Member] | Initial Stockholders Contingent Earn-out [Member] |  |  |  |  |  |  |  |  |
Business Combination, Contingent Earnout Shares, Milestone One (in shares) | shares |  | 18,750 |  | 18,750 |  |  |  |  |
Business Combination, Contingent Earnout Shares, Milestone Two (in shares) | shares |  | 18,750 |  | 18,750 |  |  |  |  |
Maximum [Member] | Subawards [Member] |  |  |  |  |  |  |  |  |
Government Assistance, Award Amount |  |  |  |  |  |  |  |  | $ 30,900,000
Equipment [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 3 years |  | 3 years |  |  |  |  |
Equipment [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 5 years |  | 5 years |  |  |  |  |
Furniture and Fixtures [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 3 years |  | 3 years |  |  |  |  |
Furniture and Fixtures [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 7 years |  | 7 years |  |  |  |  |
Computer Equipment [Member] | Minimum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 2 years |  | 2 years |  |  |  |  |
Computer Equipment [Member] | Maximum [Member] |  |  |  |  |  |  |  |  |
Property, Plant and Equipment, Useful Life (Year) |  | 5 years |  | 5 years |  |  |  |  |
Reverse Stock Split [Member] |  |  |  |  |  |  |  |  |
Stockholders' Equity Note, Stock Split, Conversion Ratio | 20 |  |  |  |  |  |  |  |
Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares | $ 0.0001 |  |  |  |  |  |  |  |
Adjustments to Additional Paid in Capital, Stock Split | $ 12,000 |  |  |  |  |  |  |  |

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