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Stockholders' Equity - Stock-Based Compensation Expense (Details) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2019
Jun. 30, 2018
Stock-based compensation expense        
Total stock-based compensation expense $ 1,519,395 $ 1,150,389 $ 2,901,839 $ 2,266,219
Research and Development        
Stock-based compensation expense        
Total stock-based compensation expense 578,843 427,355 1,086,665 852,564
General and Administrative Expense.        
Stock-based compensation expense        
Total stock-based compensation expense $ 940,552 $ 723,034 $ 1,815,174 $ 1,413,655