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Stockholders' Equity - Stock-based Compensation Expense (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2020
Sep. 30, 2019
Stock-based compensation expense        
Total stock based compensation expense $ 361,884 $ 266,325 $ 820,969 $ 615,226
Options vested, fair value     770,582 321,870
Research and Development Expense        
Stock-based compensation expense        
Total stock based compensation expense 104,259 104,153 251,212 300,291
Selling, general and administrative expense        
Stock-based compensation expense        
Total stock based compensation expense 257,625 162,172 569,757 314,935
Options to purchase Common Stock        
Stock-based compensation expense        
Unrecognized compensation cost $ 2,388,077 $ 1,476,725 $ 2,388,077 $ 1,476,725
Weighted-average remaining vesting period for recognition     2 years 2 months 12 days 2 years 4 months 24 days
Options outstanding, weighted average contractual life     9 years 1 month 6 days