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Stockholders' Equity - Stock-based Compensation Expense (Details) - USD ($)
3 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Stock-based compensation expense    
Total stock based compensation expense $ 177,309 $ 200,067
Options vested, fair value 34,929 188,984
Research and Development Expense    
Stock-based compensation expense    
Total stock based compensation expense 76,868 110,081
Selling, general and administrative expense    
Stock-based compensation expense    
Total stock based compensation expense 100,441 89,986
Stock Option    
Stock-based compensation expense    
Unrecognized compensation cost $ 1,048,776 $ 165,954
Weighted-average remaining vesting period for recognition 2 years 1 month 9 months 19 days
Options outstanding, weighted average contractual life 8 years 9 months