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Share-Based Compensation
12 Months Ended
Dec. 31, 2024
Share-Based Payment Arrangement [Abstract]  
Share-Based Compensation Share-Based Compensation
Share-Based Compensation
The Company utilizes share-based compensation in the form of stock options, restricted stock, restricted stock units and warrants. The following table summarizes the components of share-based compensation expense for the years ended December 31, 2024 and 2023 ($ in thousands):
Year Ended December 31,
20242023
Research and development$270 $540 
General and administrative1,383 1,498 
Total share-based compensation expense$1,653 $2,038 

The Company modified the exercise period of approximately 186,600 shares of one terminated employee's vested stock options and immediately recognized approximately $258 thousand incremental stock-based compensation during the year ended December 31, 2023. There were no modifications for the year ended December 31, 2024.
Total compensation cost related to unvested awards not yet recognized and the weighted-average periods over which the awards are expected to be recognized at December 31, 2024 were as follows ($ in thousands):
Stock OptionsRestricted Stock UnitsWarrantsRestricted Stock
Unrecognized compensation cost $228 $36 $— $426 
Expected weighted-average period in years of compensation cost to be recognized1.820.570.001.77
Total fair value of shares vested and the weighted average estimated fair values of shares granted for the years ended December 31, 2024 and 2023 were as follows ($ in thousands):
Stock OptionsWarrants
Year Ended December 31,Year Ended December 31,
2024202320242023
Total fair value of shares vested$204 $1,033 $— $— 
Weighted average estimated fair value of shares granted2.15 2.09 1.99 — 
Valuation Assumptions
The fair value of stock options and warrants at the date of grant was estimated using the Black-Scholes option pricing model. The expected volatility is based upon historical volatility of the Company’s stock. The expected term for the options is based upon observation of actual time elapsed between date of grant and exercise of options for all employees. The expected term for the warrants is based upon the contractual term of the warrants.
The range of assumptions made in calculating the fair values of stock options was as follows:
Stock Options
Year Ended December 31,
20242023
Expected term - minimum (in years)6.03.0
Expected term - maximum (in years)6.36.0
Expected volatility - minimum73%74%
Expected volatility - maximum77%77%
Weighted average volatility77%75%
Expected dividend yield
Risk-free interest rate - minimum3.54%3.63%
Risk-free interest rate - maximum4.30%4.68%