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Note 9 - Equity (Details Textual)
1 Months Ended 3 Months Ended 5 Months Ended 9 Months Ended
Aug. 28, 2024
USD ($)
shares
May 23, 2024
USD ($)
$ / shares
shares
Apr. 19, 2024
USD ($)
shares
Apr. 18, 2024
USD ($)
$ / shares
shares
Apr. 01, 2024
$ / shares
shares
Mar. 06, 2024
USD ($)
Mar. 05, 2024
USD ($)
shares
Feb. 29, 2024
USD ($)
$ / shares
shares
Feb. 28, 2024
USD ($)
$ / shares
shares
Feb. 27, 2024
$ / shares
shares
Feb. 07, 2024
USD ($)
$ / shares
shares
Jan. 02, 2024
USD ($)
shares
Aug. 14, 2023
shares
Apr. 30, 2024
shares
Mar. 31, 2024
shares
Aug. 31, 2023
USD ($)
shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Jun. 30, 2024
USD ($)
shares
Mar. 31, 2024
USD ($)
shares
Sep. 30, 2023
USD ($)
shares
Jul. 29, 2024
$ / shares
shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Sep. 30, 2023
USD ($)
shares
Aug. 14, 2024
USD ($)
$ / shares
shares
Mar. 28, 2024
shares
Dec. 31, 2023
$ / shares
shares
May 24, 2021
$ / shares
shares
Common Stock, Shares, Issued (in shares)         9,600,000                       11,373,246         11,373,246     95,700,000 8,391,940  
Common Stock, Shares, Outstanding (in shares)         9,600,000                       11,373,246         11,373,246     95,700,000 8,391,940  
Stock Issued During Period, Shares, Reverse Stock Splits (in shares)         0                 73,040                          
Preferred Stock, Shares Authorized (in shares)                                 50,000,000         50,000,000          
Preferred Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares                                 $ 0.001         $ 0.001          
Stock Issued During Period, Shares, New Issues (in shares)                                           1,700,000          
Common Stock, Shares Authorized (in shares)                                 500,000,000         500,000,000       500,000,000  
Common Stock, Par or Stated Value Per Share (in dollars per share) | $ / shares         $ 0.001                       $ 0.001         $ 0.001       $ 0.001  
Proceeds from Issuance of Private Placement | $                                           $ 1,027,000 $ 8,122,000        
Stock Issued During Period, Shares, Issued for Services (in shares) 20,000                                                    
Stock Issued During Period, Value, Issued for Services | $ $ 0.1                               $ 37,000                    
Class of Warrant or Right, Outstanding (in shares)                             4,034,337   5,327,636 4,069,240 4,034,337     5,327,636       3,321,499  
Fair Value Adjustment of Warrants | $                                 $ (165,000)     $ (26,000)   $ (174,000) (27,000)        
Adjustments to Additional Paid in Capital, Warrant Issued | $                                     $ 0                
February Warrants [Member]                                                      
Warrants and Rights Outstanding, Term (Year)                 5 years                                    
Adjustments to Additional Paid in Capital, Warrant Issued | $                 $ 500,000                                    
February Warrants [Member] | Measurement Input, Share Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 3.59                                    
February Warrants [Member] | Measurement Input, Exercise Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 3.8                                    
February Warrants [Member] | Measurement Input, Expected Term [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 5                                    
February Warrants [Member] | Measurement Input, Price Volatility [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 1.781                                    
February Warrants [Member] | Measurement Input, Risk Free Interest Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 0.0426                                    
February Warrants [Member] | Measurement Input, Expected Dividend Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 0                                    
Substitute Warrants [Member]                                                      
Fair Value Adjustment of Warrants | $                                 $ 0 $ 100,000       $ 100,000 $ 100,000        
Substitute Warrants [Member] | Neuro Rx [Member]                                                      
Foreign Currency Exchange Rate, Remeasurement                                                     0.316
Class of Warrant or Right, Outstanding (in shares)                                                     3,792,970
Public Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                                 344,886         344,886       344,886 345,000
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares                                                     $ 115
Class of Warrant or Right, Outstanding (in shares)                                 3,448,856         3,448,856       3,448,856 3,450,000
Class of Warrant or Right, Number of Securities Called by Each Warrant or Right (in shares)                                                     0.1
Class of Warrant or Right, Exercised During Period (in shares)                                 0     0   0 0        
Private Placement Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                                 13,625         13,625          
Class of Warrant or Right, Outstanding (in shares)                                 136,250         136,250          
Fair Value Adjustment of Warrants | $                                 $ 100,000     $ 100,000   $ 100,000 $ 100,000        
February Underwriter Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                 25,000                                    
Warrants and Rights Outstanding, Term (Year)                 5 years                                    
Adjustments to Additional Paid in Capital, Warrant Issued | $                 $ 100,000                                    
February Underwriter Warrants [Member] | Measurement Input, Share Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 3.05                                    
February Underwriter Warrants [Member] | Measurement Input, Exercise Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 3.3                                    
February Underwriter Warrants [Member] | Measurement Input, Expected Term [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 5                                    
February Underwriter Warrants [Member] | Measurement Input, Price Volatility [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 1.781                                    
February Underwriter Warrants [Member] | Measurement Input, Risk Free Interest Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 0.0426                                    
February Underwriter Warrants [Member] | Measurement Input, Expected Dividend Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                 0                                    
Underwriter Overallotment Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)             3,750                                        
Adjustments to Additional Paid in Capital, Warrant Issued | $     $ 100,000       $ 100,000                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Share Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   3.62 3.04       3.05                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Exercise Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   3.63 3.63       3.3                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Expected Term [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   5 5       5                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Price Volatility [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   1.781 1.781       1.781                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Risk Free Interest Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   0.0452 0.0466       0.0412                                        
Underwriter Overallotment Warrants [Member] | Measurement Input, Expected Dividend Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input   0 0       0                                        
Alvogen and Lotus Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                     419,598                                
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares                     $ 4                                
Warrants and Rights Outstanding, Term (Year)                     3 years                                
Adjustments to Additional Paid in Capital, Warrant Issued | $                     $ 1,300,000                                
Class of Warrant or Right, Beneficial Ownership Limitation                     4.99%                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Share Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     4.1                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Exercise Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     4                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Expected Term [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     3                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Price Volatility [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     1.38                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Risk Free Interest Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     0.042                                
Alvogen and Lotus Warrants [Member] | Measurement Input, Expected Dividend Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                     0                                
Anson Warrants Tranche One [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)                                               1,349,305      
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares                                               $ 2.4168      
Warrants and Rights Outstanding, Term (Year)                                               5 years      
Warrants and Rights Outstanding | $                                 1,900,000         $ 1,900,000   $ 2,100,000      
Anson Warrants Tranche One [Member] | Measurement Input, Share Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               1.86      
Anson Warrants Tranche One [Member] | Measurement Input, Exercise Price [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               2.42      
Anson Warrants Tranche One [Member] | Measurement Input, Expected Term [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               5      
Anson Warrants Tranche One [Member] | Measurement Input, Price Volatility [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               1.22      
Anson Warrants Tranche One [Member] | Measurement Input, Risk Free Interest Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               0.0367      
Anson Warrants Tranche One [Member] | Measurement Input, Expected Dividend Rate [Member]                                                      
Warrants and Rights Outstanding, Measurement Input                                               0      
Maximum [Member] | Alvogen and Lotus Warrants [Member]                                                      
Class of Warrant or Right, Beneficial Ownership Limitation                     9.99%                                
ATM Offering [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                         4,900,000               385,515            
Stock Issued During Period, Value, New Issues | $                                 $ 219,000 $ 1,228,000 179,000                
ATM Offering [Member] | Minimum [Member]                                                      
Shares Issued, Price Per Share (in dollars per share) | $ / shares                                         $ 2.42            
ATM Offering [Member] | Maximum [Member]                                                      
Shares Issued, Price Per Share (in dollars per share) | $ / shares                                         $ 7.1            
Private Placement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)               270,000 270,000                                    
Stock Issued During Period, Value, New Issues | $                                     1,027,000                
Private Placement, Premium Percentage               26.70%                                      
Proceeds from Issuance of Private Placement | $               $ 1,000,000                                      
Private Placement [Member] | February Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)               270,000 270,000                                    
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) | $ / shares               $ 3.8 $ 3.8                                    
February Underwriting Agreement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                   500,000                                  
Shares Issued, Price Per Share (in dollars per share) | $ / shares                   $ 2.76                                  
Share Price (in dollars per share) | $ / shares                   $ 3                                  
Proceeds from Issuance or Sale of Equity | $                 $ 1,300,000                                    
Payments of Stock Issuance Costs | $                 $ 400,000                                    
February Overallotment Option [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                   75,000                                  
Share Price (in dollars per share) | $ / shares                   $ 3                                  
Proceeds from Issuance or Sale of Equity | $           $ 200,000                                          
Payments of Stock Issuance Costs | $           $ 200,000                                          
April Underwriter Agreement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)       607,000                                              
Shares Issued, Price Per Share (in dollars per share) | $ / shares       $ 3.3                                              
April Overallotment Agreement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)   91,050   91,050                                              
Shares Issued, Price Per Share (in dollars per share) | $ / shares   $ 3.3                                                  
Proceeds from Issuance or Sale of Equity | $   $ 200,000                                                  
Payments of Stock Issuance Costs | $   $ 100,000                                                  
April 2024 Offering [Member]                                                      
Payments of Stock Issuance Costs | $       $ 400,000                                              
Proceeds from Issuance of Common Stock | $       $ 1,600,000                                              
April 2024 Offering [Member] | April Underwriter Warrants [Member]                                                      
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)   4,553 30,350                                                
Warrants and Rights Outstanding, Term (Year)     6 years                                                
April 2024 Offering [Member] | April Overallotment Warrants [Member]                                                      
Warrants and Rights Outstanding, Term (Year)     5 years                                                
Convertible Debt [Member] | Conversion of Debt to Common Stock [Member]                                                      
Debt Conversion, Converted Instrument, Shares Issued (in shares)                       143,648                              
Debt Conversion, Converted Instrument, Amount | $                       $ 400,000                              
Preferred Stock [Member]                                                      
Stock Issued During Period, Shares, Reverse Stock Splits (in shares)                                   0                  
Stock Issued During Period, Shares, Issued for Services (in shares)                                 0                    
Stock Issued During Period, Value, Issued for Services | $                                 $ 0                    
Adjustments to Additional Paid in Capital, Warrant Issued | $                                     $ 0                
Preferred Stock [Member] | ATM Offering [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                                 0 0 0                
Stock Issued During Period, Value, New Issues | $                                 $ 0 $ 0 $ 0                
Preferred Stock [Member] | Private Placement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                                     0                
Stock Issued During Period, Value, New Issues | $                                     $ 0                
Conversion of Series A Preferred Stock to Preferred Stock [Member] | Preferred Stock [Member]                                                      
Conversion of Stock, Shares Issued (in shares)                             300,000                        
Series A Preferred Stock [Member]                                                      
Preferred Stock, Shares Authorized (in shares)                                 12,000,000         12,000,000          
Stock Issued During Period, Shares, New Issues (in shares)                               3,000,000                      
Stock Issued During Period, Value, New Issues | $                               $ 1,200,000                      
Preferred Stock, Shares Issued (in shares)                                 0         0          
Preferred Stock, Shares Outstanding (in shares)                                 0         0          
Series A Preferred Stock [Member] | Preferred Stock [Member]                                                      
Stock Issued During Period, Shares, Reverse Stock Splits (in shares)                                   0                  
Conversion of Stock, Shares Converted (in shares)                                     3,000,000                
Stock Issued During Period, Shares, Issued for Services (in shares)                                 0                    
Stock Issued During Period, Value, Issued for Services | $                                 $ 0                    
Adjustments to Additional Paid in Capital, Warrant Issued | $                                     $ 0                
Series A Preferred Stock [Member] | Preferred Stock [Member] | ATM Offering [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                                 0 0 0                
Stock Issued During Period, Value, New Issues | $                                 $ 0 $ 0 $ 0                
Series A Preferred Stock [Member] | Preferred Stock [Member] | Private Placement [Member]                                                      
Stock Issued During Period, Shares, New Issues (in shares)                                     0                
Stock Issued During Period, Value, New Issues | $                                     $ 0                
Series A Preferred Stock [Member] | Conversion of Series A Preferred Stock to Preferred Stock [Member]                                                      
Conversion of Stock, Shares Converted (in shares)                             3,000,000                        
Reverse Stock Split [Member]                                                      
Stockholders' Equity Note, Stock Split, Conversion Ratio         10