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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 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 September 30,
  
Nine Months Ended September 30,
 
  
2020
  
2019
  
2020
  
2019
 
  
(unaudited)
  
(unaudited)
 
Stock-Based Compensation
            
Research and development
 
$
61,557
  
$
49,748
  
$
168,083
  
$
499,835
 
General and administrative
  
68,235
   
70,458
   
132,815
   
2,393,823
 
Total
 
$
129,792
  
$
120,206
  
$
300,898
  
$
2,893,658
 
Assumptions Used to Value Stock Options Granted
The fair value of options granted during the three and nine months ended September 30, 2020 and the three and nine months ended September 30, 2019 was estimated using the Black-Scholes option valuation model utilizing the following assumptions. There were no options granted during the three months ended September 30, 2020.

  
Three Months Ended September 30,
  
Nine Months Ended September 30,
 
  
2020
  
2019
  
2020
  
2019
 
  
Weighted Average
  
Weighted Average
  
Weighted Average
  
Weighted Average
 
  
(unaudited)
  
(unaudited)
 
Volatility
  
   
92.22
%
  
97.00
%
  
89.88
%
Risk-Free Interest Rate
  
   
1.49
%
  
0.38
%
  
2.33
%
Expected Term in Years
  
   
6.08
   
6.07
   
6.14
 
Dividend Rate
  
   
   
   
 
Fair Value of Option on Grant Date
 
$
  
$
3.50
  
$
1.10
  
$
5.30
 
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 September 30, 2020
  
1,639,753
  
$
11.94
   
6.92
  
$
287,063
 
Vested and expected to vest at September 30, 2020
  
1,639,753
  
$
11.94
   
6.92
  
$
287,063
 
Exercisable at September 30, 2020
  
1,066,601
  
$
16.54
   
5.65
  
$