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Stock-Based Compensation (Tables) | 6 Months Ended
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Jun. 30, 2025
Stock-Based Compensation |
Schedule of stock-based compensation expense | Stock-based compensation expense reflected in the statement of operations was as follows: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | Three Months Ended | ​ | Six Months Ended
​ | ​ | June 30, | ​ | June 30,
​ |  | 2025 |  | 2024 | ​ | 2025 |  | 2024
General and administrative | ​ | $ | 270,395 | ​ | $ | 997,779 | ​ | $ | 537,333 | ​ | $ | 1,233,519
Research and development | ​ |  | 226,223 | ​ | ​ | 598,733 | ​ |  | 459,172 | ​ | ​ | 727,758
​ | ​ | $ | 496,618 | ​ | $ | 1,596,512 | ​ | $ | 996,505 | ​ | $ | 1,961,277
​
Schedule of stock option activity | The following table summarizes stock option activity:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | ​ | ​ |  | Weighted |  | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | Average | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | Remaining | ​ | Aggregate
​ | ​ | ​ | ​ | Weighted | ​ | Contractual | ​ | Intrinsic
​ | ​ | Number of | ​ | Average | ​ | Life | ​ | Value
​ | ​ | Options | ​ | Exercise Price | ​ | (Years) | ​ | (Thousands)
Options outstanding at December 31, 2024 |  | 2,336,020 | ​ | $ | 11.39 | ​ | 7.3 | ​ | $ 1,298
Options granted | ​ | 20,000 | ​ | $ | 1.64 | ​ | — | ​ | —
Options expired | ​ | (92,562) | ​ | $ | 10.12 | ​ | — | ​ | —
Options outstanding at June 30, 2025 |  | 2,263,458 | ​ | $ | 11.36 | ​ | 7.0 |  | $ 274
Options exercisable at June 30, 2025 | ​ | 1,912,281 | ​ | $ | 12.34 | ​ | 6.8 |  | $ 264

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