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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2020
Stock-Based Compensation [Abstract]  
Stock-Based Compensation Expense Related to Stock Options
The Company’s stock-based compensation expense related to stock options was recognized in operating expense as follows:

 
 
Three Months Ended June 30,
  
Six Months Ended June 30,
 
 
 
2020
  
2019
  
2020
  
2019
 
 
 
(unaudited)
  
(unaudited)
 
Stock-Based Compensation
            
Research and development
 
$
53,842
  
$
9,387
  
$
106,526
  
$
450,087
 
General and administrative
  
(7,728
)
  
9,193
   
64,580
   
2,323,364
 
Total
 
$
46,113
  
$
18,580
  
$
171,106
  
$
2,773,451
 
Assumptions Used to Value Stock Options Granted
The fair value of options granted during the three and six months ended June 30, 2020 and the three and six months ended June 30, 2019 was estimated using the Black-Scholes option valuation model utilizing the following assumptions.


 
 
Three Months Ended June 30,
  
Six Months Ended June 30,
 
 
 
2020
  
2019
  
2020
  
2019
 
 
 
Weighted Average
  
Weighted Average
  
Weighted Average
  
Weighted Average
 
 
 
(unaudited)
  
(unaudited)
 
Volatility
  
97.13
%
  
94.43
%
  
97.00
%
  
88.87
%
Risk-Free Interest Rate
  
0.34
%
  
2.19
%
  
0.38
%
  
2.34
%
Expected Term in Years
  
6.07
   
6.08
   
6.07
   
6.17
 
Dividend Rate
  
0.00
%
  
0.00
%
  
0.00
%
  
0.00
%
Fair Value of Option on Grant Date
 
$
1.11
  
$
4.77
  
$
1.10
  
$
5.31
 
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, 2019
  
1,421,797
  
$
15.95
       
Granted
  
319,907
   
1.43
       
Exercised
  
   
       
Forfeited
  
(84,227
)
  
41.34
       
Expired
  
(17,724
)
  
4.69
       
Options outstanding at June 30, 2020
  
1,639,753
  
$
11.94
   
7.17
  
$
184,693
 
Vested and expected to vest at June 30, 2020
  
1,639,753
  
$
11.94
   
7.17
  
$
184,693
 
Exercisable at June 30, 2020
  
1,047,284
  
$
16.73
   
5.84
  
$