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Stockholders' Equity - Stock-Based Compensation Expense (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Stock-based compensation expense        
Total stock-based compensation expense $ 1,587,147 $ 1,171,123 $ 4,488,985 $ 3,437,341
Research and Development        
Stock-based compensation expense        
Total stock-based compensation expense 610,506 429,477 1,697,171 1,282,040
General and Administrative Expense.        
Stock-based compensation expense        
Total stock-based compensation expense $ 976,641 $ 741,646 $ 2,791,814 $ 2,155,301