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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2022
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,
 
   
2022
   
2021
 
    (unaudited)
 
Stock-Based Compensation            
Research and development
  $
369,050
    $
60,385
 
General and administrative
   
759,923
     
197,236
 
Total
  $
1,128,973
    $
257,622
 
Assumptions Used to Value Stock Options and Warrants Granted

The fair value of options and warrants granted during the three months ended March 31, 2022 was estimated using the Black-Scholes option valuation model utilizing the following assumptions:

   
Three Months Ended March 31,
 
   
2022
   
2021
 
   
Weighted Average
   
Weighted Average
 
   
(unaudited)
 
Volatility
   
99.13
%
   
100.38
%
Risk-Free Interest Rate
   
1.10
%
   
0.35
%
Expected Term in Years
   
6.64
     
5.82
 
Dividend Rate     0.00 %
    0.00 %
Fair Value of Option on Grant Date
 
$
4.88
   
$
1.73
 
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, 2021
   
3,163,835
   
$
5.57
     
7.90
   
$
10,839,589
 
Granted
   
945,005
     
6.09
                 
Exercised
   
(2,282
)
   
3.18
                 
Forfeited
   
(174,166
)
   
4.91
                 
Expired
   
     
                 
Options outstanding at March 31, 2022
   
3,932,392
   
$
5.73
     
8.08
   
$
6,445,883
 
Vested and expected to vest at March 31, 2022
   
3,932,392
   
$
5.73
     
8.08
   
$
6,445,883
 
Exercisable at March 31, 2022
   
1,545,118
   
$
6.27
     
6.33
   
$
2,272,600