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Stock Options (Tables)
6 Months Ended
Jun. 30, 2016
Stock Options [Abstract]  
Stock-Based Compensation Expense
The Company’s stock-based compensation expense was recognized in operating expense as follows:
 
  
Three Months
Ended June 30,
  
Six Months
Ended June 30,
 
  
2016
  
2015
  
2016
  
2015
 
  
(unaudited)
  
(unaudited)
 
Stock-Based Compensation
            
Research and development
 
$
544,702
  
$
265,029
  
$
1,042,232
  
$
428,541
 
General and administrative
  
836,292
   
318,486
   
1,754,064
   
526,143
 
Total
 
$
1,380,994
  
$
583,515
  
$
2,796,296
  
$
954,684
 

Assumptions Used in Valuing Stock Options and Warrants Granted
The fair value of options and warrants granted during the three and six months ended June 30, 2016 and 2015 was estimated using the Black-Scholes option valuation model utilizing the following assumptions:

  
Three Months
Ended June 30,
  
Six Months
 Ended June 30,
 
  
2016
  
2015
  
2016
  
2015
 
  
Weighted
Average
  
Weighted
Average
  
Weighted
Average
  
Weighted
Average
 
  
(unaudited)
  
(unaudited)
 
Volatility
  
71.80
%
  
79.80
%
  
78.50
%
  
79.80
%
Risk-Free Interest Rate
  
1.29
%
  
1.58
%
  
1.39
%
  
1.79
%
Expected Term in Years
  
5.68
   
6.08
   
6.01
   
6.07
 
Dividend Rate
  
0.00
%
  
0.00
%
  
0.00
%
  
0.00
%
Fair Value of Option on Grant Date
 
$
5.81
  
$
4.39
  
$
5.11
  
$
4.28
 

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, 2015
  
4,302,267
  
$
5.19
       
Granted
  
976,400
   
7.56
       
Exercised
  
(7,375
)
  
3.55
       
Forfeited
  
(133,517
)
  
5.79
       
Expirations
  
-
   
-
       
Options outstanding at June 30, 2016
  
5,137,775
  
$
5.62
   
8.00
  
$
23,960,058
 
Vested and expected to vest at June 30, 2016
  
5,035,892
  
$
5.58
   
7.98
  
$
23,679,976
 
Exercisable at June 30, 2016
  
2,617,577
  
$
3.97
   
7.10
  
$
16,226,531