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Stock Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Schedule of Total Stock-based Compensation Expense from Stock Options, Restricted Stock and Warrants

The following table sets forth the total stock-based compensation expense resulting from stock options, restricted stock and warrants included in our Condensed Consolidated Statements of Operations:

 

   Three Months Ended June 30,   Six Months Ended June 30, 
   2019   2018   2019   2018 
Research and development  $   $29,451   $(2,672)  $60,423 
General and administrative — employee   214,706    404,231    427,880    833,220 
Total employee stock-based compensation  $214,706   $433,682   $425,208   $893,643 
                     
General and administrative — non-employee       19,517        40,867 
Total non-employee stock-based compensation  $   $19,517   $   $40,867 
Schedule of Share-based Payment Award, Fair Value of the Stock Options Granted, Assumptions

The fair value of the stock options was estimated using the Black-Scholes option-pricing model, based on the following assumptions:

 

   Six Months Ended
June 30, 2019
   Six Months Ended
June 30, 2018
 
Risk-free interest rate       2.42%
Expected volatility       91.6%
Expected lives (years)       6 
Expected dividend yield       0.00%
Schedule of Share-based Compensation, Stock Options, Activity

Presented below is our stock option activity:

 

   Six Months Ended June 30, 2019 
   Number of Options (Employees)   Number of Options (Non-Employees)   Total Number of Options   Weighted-Average Exercise Price 
Outstanding at January 1, 2019   2,190,835    365,000    2,555,835   $10.69 
Granted              $ 
Exercised, Forfeited or Expired   (178,258)       (178,258)  $9.91 
Outstanding at June 30, 2019   2,012,577    365,000    2,377,577   $10.74 
Options exercisable at June 30, 2019   1,816,429    365,000    2,181,429   $11.53 
Schedule of Outstanding Stock Options

The following table summarizes significant ranges of outstanding stock options under our plans at June 30, 2019:

 

Range of Exercise Prices  Total Number of Options   Weighted-Average Remaining Contractual Life (years)   Weighted-Average Exercise Price   Total Number of Options Exercisable   Weighted-Average Remaining Contractual Life (years)   Weighted-Average Exercise Price 
$0.77 - $5.00   1,123,458    8.09   $2.13    927,310    8.07   $2.16 
$5.01 – $11.00   165,834    3.45   $10.98    165,834    3.45   $10.98 
$11.01 – $15.00   623,193    5.79   $13.89    623,193    5.79   $13.89 
$15.01 – $48.30   465,092    4.18   $27.25    465,092    4.18   $27.25 
    2,377,577    6.40   $10.74    2,181,429    6.24   $11.53