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Stock Options, Stock-Based Compensation Expense (Details) - USD ($)
3 Months Ended 6 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2018
Jun. 30, 2017
Stock-Based Compensation [Abstract]        
Stock-based compensation expense $ 1,658,618 $ 1,580,523 $ 3,644,405 $ 3,066,228
Research and Development [Member]        
Stock-Based Compensation [Abstract]        
Stock-based compensation expense 631,511 779,349 1,428,851 1,387,792
General and Administrative [Member]        
Stock-Based Compensation [Abstract]        
Stock-based compensation expense $ 1,027,107 $ 801,174 $ 2,215,554 $ 1,678,436