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Share-Based Compensation - Additional Information (Details) - USD ($)
1 Months Ended 3 Months Ended 9 Months Ended
Apr. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Annual rate at which authorized shares of common stock increase 4.00%          
Share-based award contractual life 10 years          
Share-based compensation expense   $ 276,521 $ 151,075 $ 732,803 $ 280,726  
Weighted average fair value of grants during period (in dollars per share)       $ 1.38 $ 3.76  
Unrecognized compensation expense   $ 1,900,000   $ 1,900,000    
Unvested restricted stock awards            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Outstanding at beginning of period (in shares)   0   0   0
Research and development            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expense   $ 14,349 17,775 $ 74,256 $ 56,677  
General and administrative            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expense   $ 262,172 133,300 $ 658,547 224,049  
Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based awards vesting period 1 year          
Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based awards vesting period 4 years          
Common Stock            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Total shares of common stock authorized for issuance (in shares) 1,266,092          
Shares of common stock available for grant (in shares)   546,535   546,535    
Unvested restricted stock awards | Research and development            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based compensation expense     $ 10,000   $ 25,000  
Unvested restricted stock awards | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based awards vesting period 1 year          
Unvested restricted stock awards | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based awards vesting period 3 years          
Stock options            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Expected period for recognition       2 years 3 months