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Stock Options, Stock-Based Compensation Expense (Details) - USD ($)
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Stock-Based Compensation [Abstract]    
Stock-based compensation expense $ 1,985,786 $ 1,485,705
Research and Development [Member]    
Stock-Based Compensation [Abstract]    
Stock-based compensation expense 797,340 608,443
General and Administrative [Member]    
Stock-Based Compensation [Abstract]    
Stock-based compensation expense $ 1,188,446 $ 877,262