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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 $ 1,822,148 $ 1,382,443
Research and Development    
Stock-based compensation expense    
Total stock-based compensation expense 736,030 507,822
General and Administrative Expense.    
Stock-based compensation expense    
Total stock-based compensation expense $ 1,086,118 $ 874,621