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Stock-Based Compensation (Tables)
 9 Months Ended
Jun. 30, 2024
Stock-Based Compensation [Abstract]  
Schedule of Stock-Based Compensation Expense During the three and nine months ended June 30, 2024 and 2023, stock-based compensation expense related to stock-based awards was included in selling, general and administrative and research and development costs as follows in the accompanying condensed statements of operations.
   Three Months Ended   Nine Months Ended 
   June 30,   June 30, 
   2024   2023   2024   2023 
Selling, general and administrative  $270,552   $237,007   $794,266   $691,939 
Research and development   68,057    59,395    209,839    142,272 
Total stock-based compensation expense  $338,609   $296,402   $1,004,105   $834,211 
Schedule of Weighted-Average Assumptions Used in the Black-Scholes Option-Pricing Model The weighted-average assumptions used in the Black-Scholes option-pricing model are as follows for the stock options granted during the three and nine months ended June 30, 2024 and 2023:
    Three Months Ended     Nine Months Ended  
    June 30,     June 30,  
    2024     2023     2024     2023  
Expected stock price volatility     — %     58.1 %     111.9 %     57.4 %
Expected life of options (years)     —       6.1       6.1       5.8  
Expected dividend yield     — %     0 %     0 %     0 %
Risk free interest rate     — %     3.6 %     4.6 %     3.7 %