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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2021
Stock-Based Compensation [Abstract]  
Stock-Based Compensation Expense
The Company’s stock-based compensation expense was recognized in operating expense as follows:

  
Three Months Ended March 31,
 
  
2021
  
2020
 
  
(unaudited)
 
Stock-Based Compensation
      
Research and development
 
$
60,385
  
$
52,684
 
General and administrative
  
197,236
   
72,308
 
Total
 
$
257,622
  
$
124,992
 
Assumptions Used to Value Stock Options and Warrants Granted
The fair value of options and warrants granted during the three months ended March 31, 2021 was estimated using the Black-Scholes option valuation model utilizing the following assumptions:

  
Three Months Ended March 31,
 
  
2021
  
2020
 
  
Weighted Average
  
Weighted Average
 
  
(unaudited)
 
Volatility
  
100.38
%
  
92.56
%
Risk-Free Interest Rate
  
0.35
%
  
1.56
%
Expected Term in Years
  
5.82
   
6.01
 
Dividend Rate
  
0.00
%
  
0.00
%
Fair Value of Option on Grant Date
 
$
1.73
  
$
0.99
 
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, 2020
  
1,650,897
  
$
11.87
       
Granted
  
267,800
   
2.32
       
Exercised
  
   
       
Forfeited
  
(19,500
)
  
23.87
       
Expired
  
   
       
Options outstanding at March 31, 2021
  
1,899,197
  
$
10.40
   
7.2
  
$
1,654,588
 
Vested and expected to vest at March 31, 2021
  
1,899,197
  
$
10.40
   
7.2
  
$
1,654,588
 
Exercisable at March 31, 2021
  
1,167,963
  
$
15.10
   
5.52
  
$
157,569