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Stock Options (Tables)
9 Months Ended
Sep. 30, 2017
Stock Options [Abstract]  
Stock-Based Compensation Expense
The Company’s stock-based compensation expense was recognized in operating expense as follows:

 
 
Three Months Ended September 30,
  
Nine Months Ended September 30,
 
 
 
2017
  
2016
  
2017
  
2016
 
 
 
(unaudited)
  
(unaudited)
 
Stock-Based Compensation
            
Research and development
 
$
702,284
  
$
567,452
  
$
2,090,076
  
$
1,609,683
 
General and administrative
  
868,630
   
665,579
   
2,547,066
   
2,419,643
 
Total
 
$
1,570,914
  
$
1,233,031
  
$
4,637,142
  
$
4,029,326
 
Assumptions Used to Value Stock Options and Warrants Granted
The fair value of options and warrants granted during the three months ended September 30, 2017 and 2016 was estimated using the Black-Scholes option valuation model utilizing the following assumptions:

 
 
Three Months Ended September 30,
  
Nine Months Ended September 30,
 
 
 
2017
  
2016
  
2017
  
2016
 
 
 
Weighted
Average
  
Weighted
Average
  
Weighted
Average
  
Weighted
Average
 
 
 
(unaudited)
  
(unaudited)
 
Volatility
  
86.98
%
  
71.80
%
  
88.82
%
  
77.96
%
Risk-Free Interest Rate
  
1.83
%
  
1.19
%
  
1.89
%
  
1.38
%
Expected Term in Years
  
6.03
   
6.07
   
5.99
   
6.02
 
Dividend Rate
  
0.00
%
  
0.00
%
  
0.00
%
  
0.00
%
Fair Value of Option on Grant Date
 
$
7.22
  
$
6.78
  
$
6.76
  
$
5.24
 
Stock Option Activity
The following table summarizes the number of options outstanding and the weighted average exercise price:

 
 
Number
of Shares
  
Weighted Average
Exercise Price
  
Weighted Average
Remaining Contractual
Life in Years
  
Aggregate
Intrinsic Value
 
 
            
Options outstanding at December 31, 2016
  
5,316,511
  
$
5.84
       
Granted
  
1,165,400
   
9.16
       
Exercised
  
(30,666
)
  
3.00
       
Forfeited
  
(63,750
)
  
8.21
       
Options outstanding at September 30, 2017
  
6,387,495
  
$
6.44
   
7.32
  
$
27,951,302
 
Vested and expected to vest at September 30, 2017
  
6,387,495
  
$
6.44
   
7.32
  
$
27,951,302
 
Exercisable at September 30, 2017
  
3,898,218
  
$
5.02
   
6.40
  
$
22,525,438