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Equity-based compensation (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense $ 224,549 $ 187,736 $ 876,756 $ 295,684
Employee value appreciation right awards | General and administrative        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense 3,402 8,621 (1,504) 34,089
Employee value appreciation right awards | Research and development        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense   555   1,647
Stock Options | General and administrative        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense 145,194 21,650 638,692 21,650
Stock Options | Research and development        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense 35,665 $ 156,910 129,931 $ 238,298
Restricted Stock Units | General and administrative        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share based compensation expense $ 40,288   $ 109,637