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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2024
Stock-Based Compensation [Abstract]  
Stock-Based Compensation Expense

The following table summarizes the components of stock-based compensation expense in the condensed consolidated statements of operations and comprehensive loss for the three and six months ended June 30, 2024 and 2023:


   
Three Months Ended June 30,
   
Six months ended June 30,
 
   
2024
   
2023
   
2024
   
2023
 
   
(unaudited)
   
(unaudited)
 
Stock-Based Compensation
                       
Research and development
 
$
609,828
   
$
806,548
   
$
1,161,746
   
$
1,607,312
 
General and administrative
   
1,185,894
     
1,298,990
     
2,263,987
     
2,578,545
 
Total
 
$
1,795,722
   
$
2,105,538
   
$
3,425,733
   
$
4,185,857
 
Assumptions Used to Value Stock Options Granted The fair value of options granted during the three and six months ended June 30, 2024 and 2023 was estimated using the Black-Scholes option valuation model utilizing the following assumptions:


   
Three Months Ended June 30
   
Six Months Ended June 30,
 
   
2024
   
2023
   
2024
   
2023
 
   
Weighted
Average
   
Weighted
Average
   
Weighted
Average
   
Weighted
Average
 
   
(unaudited)
   
(unaudited)
 
Volatility
   
106.26
%
   
143.87
%
   
137.07
%
   
142.07
%
Risk-Free Interest Rate
   
4.26
%
   
3.59
%
   
4.04
%
   
4.05
%
Expected Term in Years
   
5.96
     
6.08
     
6.06
     
6.08
 
Dividend Rate
   
-
     
-
     
-
     
-
 
Fair Value of Option on Grant Date
 
$
2.86
   
$
5.09
   
$
4.71
   
$
10.64
 
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, 2023
   
5,029,345
   
$
6.43
     
7.42
   
$
4,395,227
 
Granted
   
1,192,648
     
5.12
     
9.70
     
 
Exercised
   
(156,073
)
   
3.40
                 
Forfeited and expired
   
(502,709
)
   
8.68
                 
Options outstanding at June 30, 2024
   
5,563,211
   
$
6.03
     
7.46
   
$
899,228
 
Vested and expected to vest at June 30, 2024
   
5,563,211
   
$
6.03
     
7.46
   
$
899,228
 
Exercisable at June 30, 2024
   
3,043,575
   
$
5.79
     
6.25
   
$
837,670