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Stock-Based Compensation - Stock incentive plan and other information (Details) - USD ($)
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 05, 2019
Nov. 02, 2010
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2022
Sep. 17, 2020
Stock-Based Compensation and Warrants                
Share-based payment award, options, grants in period, gross     420 0 420 0    
Share-Based Payment Arrangement, Grantee Status [Extensible Enumeration]     Share-Based Payment Arrangement, Employee [Member]   Share-Based Payment Arrangement, Employee [Member]      
Aggregate grant date fair value     $ 1,500   $ 1,500      
Unrecognized stock-based compensation expense     758,000   758,000      
General and Administrative Expenses and Research and Development Expense | Employees                
Stock-Based Compensation and Warrants                
Allocated share-based compensation expense     123,000 $ 90,000 347,000 $ 274,000    
Consultant | General and Administrative Expenses and Research and Development Expense                
Stock-Based Compensation and Warrants                
Allocated share-based compensation expense     $ 54,000 $ 45,000 $ 161,000 $ 133,000    
2010 Stock Plan                
Stock-Based Compensation and Warrants                
Share-based payment award, options, outstanding, number   343 7,843   7,843      
Share-based payment award, options, issued, number     7,843   7,843      
Share-based compensation arrangement by share-based payment award, number of shares authorized 16,000              
Shares available     0   0      
2010 Stock Plan | Minimum                
Stock-Based Compensation and Warrants                
Share-based payment award, options, grants, expired period   5 years            
2010 Stock Plan | Maximum                
Stock-Based Compensation and Warrants                
Share-based payment award, options, grants, expired period   10 years            
2020 Stock Plan                
Stock-Based Compensation and Warrants                
Share-based payment award, options, outstanding, number     167,364   167,364     16,000
Share-based payment award, options, issued, number     167,364   167,364      
Share-based compensation arrangement by share-based payment award, number of shares authorized             280,000