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Stock-based Compensation (Tables)
12 Months Ended
Dec. 31, 2024
Share-Based Payment Arrangement [Abstract]  
Summary of Stock Option Activity and Related Information

A summary of stock option activity and related information for the years ended December 31, 2024 and 2023 is as follows:

 

 

Number of
Option
Shares

 

 

Weighted Average
Exercise Price

 

Outstanding at December 31, 2022

 

 

7,985,250

 

 

$

5.55

 

Granted

 

 

788,683

 

 

$

2.39

 

Exercised

 

 

 

 

$

-

 

Cancelled

 

 

(992,184

)

 

$

3.27

 

Outstanding at December 31, 2023

 

 

7,781,749

 

 

$

5.52

 

Granted

 

 

1,100,000

 

 

$

1.51

 

Exercised

 

 

 

 

$

-

 

Cancelled

 

 

(1,840,855

)

 

$

4.64

 

Outstanding at December 31, 2024

 

 

7,040,894

 

 

$

5.12

 

Exercisable at December 31, 2024

 

 

6,180,894

 

 

$

5.62

 

 

 

 

Number of
Option
Shares

 

 

Weighted Average Grant-Date Fair Value

 

Non-vested at December 31, 2023

 

 

773,517

 

 

$

1.61

 

Granted

 

 

1,100,000

 

 

$

0.99

 

Vested

 

 

(583,412

)

 

$

1.56

 

Forfeitures

 

 

(430,105

)

 

$

1.32

 

Non-vested at December 31, 2024

 

 

860,000

 

 

$

1.00

 

 

Weighted-Average Assumptions for Stock Option

The estimated fair value of each stock option award was determined on the date of grant using the Black-Scholes option valuation model with the following weighted-average assumptions for stock option grants:

 

 

 

Year Ended
December 31,

 

 

 

2024

 

 

2023

 

Stock Options

 

 

 

 

 

 

Risk-free interest rate

 

 

4.38

%

 

 

3.83

%

Expected volatility of common stock

 

 

72.25

%

 

 

75.28

%

Dividend yield

 

 

0.00

%

 

 

0.00

%

Expected option term (in years)

 

 

4.62

 

 

 

4.68

 

Summary of Stock-based Compensation Expense The following table summarizes stock-based compensation expense for the years ended December 31, 2024 and 2023:

 

 

 

December 31,

 

 

 

2024

 

 

2023

 

Research, development and patents

 

$

443,564

 

 

$

240,268

 

General and administrative

 

 

748,176

 

 

 

470,442

 

Total stock-based compensation expense

 

$

1,191,740

 

 

$

710,710