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Equity Incentive Plans and Warrants (Tables)
6 Months Ended
Jun. 30, 2025
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Valuation Assumptions
Options granted under the 2021 Stock Option Plan for the six months ended June 30, 2025 to employees and nonemployees were 1,524,915 and 70,400, respectively and the weighted average exercise prices were $1.09 and $0.98, respectively. The weighted average fair values of the options granted to employees and nonemployees were $0.84 and $0.73, respectively and were estimated using the following Black-Scholes assumptions:
 
         
      Employees      Nonemployees 
Expected term (in years)
   6.06     5.50 
Risk‑free interest rate
   4.37%    3.91%
Dividend yield
   %     — %
Expected volatility
   91.17%    90.77%
Share-based Compensation Expense
The following table shows the share-based compensation expense related to vested stock option grants to employees and nonemployees by financial statement line item on the accompanying condensed statements of comprehensive loss:
 
                        
    Three Months Ended June 30,   Six Months Ended June 30,
    2025       2024       2025       2024  
Research and development
$ 68,299     34,629     205,223     64,637 
Sales and marketing
  21,418     18,246     10,987     24,764 
General and administrative
  92,254     51,138     332,998     92,197 
Total share-based compensation expense
$ 181,971     104,013     549,208     181,598 
2021 Stock Option Plan [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock Option Plans Activity
Activity under the Company’s stock option plans for the six months ended June 30, 2025 was as follows:
 
             
      Number of options      Weighted
average
exercise
price
     Aggregate
Intrinsic Value
 
Outstanding at December 31, 2024
   2,974,219   $ 1.60       
    Granted
   1,595,315     1.09       
    Forfeited
   (171,037    1.10       
Outstanding at June 30, 2025
   4,398,497   $ 1.43  
619,562 
                   
 Vested and exercisable at June 30, 2025    1,796,098   $ 2.01  
380,874 
Inducement Grants [Member]  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock Option Plans Activity
The inducement grants are summarized as follows:
 
   
Number of
options
     
Weighted
average
exercise
price
     
Weighted
average
remaining
life years
 
Outstanding at December 31, 2024
 250,000 
$1.89     8.07 
    Granted  100,000     0.90     9.98 
    Forfeited
 (100,000    1.10      
Outstanding at June 30, 2025
 250,000 
$1.81     8.11 
                 
Vested and exercisable at June 30, 2025
 100,000 
$2.56     6.82