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Stock Option Plans and Warrants to Purchase Common Stock (Tables) | 12 Months Ended
--- | ---
Dec. 31, 2025
Grant 2025 plan |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Schedule of shares available for grant under the 2015 plan | ​
​ | ​ | ​
Shares available for grant at plan approval | ​ ​ ​ | 6,000,000
Shares granted |  | (20,000)
Options granted | ​ | (670,088)
Shares available for grant at December 31, 2025 |  | 5,309,912
Stock options |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Schedule of activity under the 2005 plan and the 2015 plan | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ ​ ​ | ​ ​ ​ | ​ ​ ​ | Weighted
​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | Exercise
​ | ​ ​ ​ | Options | ​ ​ ​ | Price
Balance outstanding at December 31, 2023 |  | 56,609 | ​ | $ | 90.58
Granted |  | 173,740 | ​ |  | 3.35
Forfeited |  | (430) | ​ |  | 1,549.28
Balance outstanding at December 31, 2024 |  | 229,919 | ​ | $ | 21.94
Granted |  | 670,088 | ​ |  | 1.64
Forfeited |  | (6,652) | ​ |  | 96.46
Balance outstanding at December 31, 2025 |  | 893,355 | ​ | $ | 6.15
Schedule of weighted-average exercise price, by price range, for outstanding options to purchase common stock | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ ​ ​ | Weighted | ​ ​ ​ | ​ ​ ​ | ​ ​ ​ | ​ ​ ​
​ | ​ | Average | ​ | ​ | ​ | ​
​ | ​ | Remaining | ​ | ​ | ​ | ​
​ | ​ | Contractual | ​ | Outstanding | ​ | Exercisable
Price Range | ​ ​ ​ | Life in Years | ​ ​ ​ | Options | ​ ​ ​ | Options
$1.37 - $10.78 |  | 9.62 |  | 882,107 |  | 321,844
$129.60 - $640.80 |  | 4.83 |  | 11,168 |  | 11,168
$1,776.00 | ​ | 0.46 | ​ | 80 | ​ | 80
Total |  | 9.56 |  | 893,355 |  | 333,092
Share-based Payment Arrangement |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Schedule of share-based compensation expense | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
Share-based compensation | ​ ​ ​ | 2025 | ​ ​ ​ | 2024
Research and development | ​ | $ | 204,848 | ​ | $ | 131,917
General and administrative | ​ |  | 382,735 | ​ |  | 197,898
Total | ​ | $ | 587,583 | ​ | $ | 329,815
Warrants |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |
Schedule of warrant activity | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ ​ ​ | ​ ​ ​ | ​ | ​ ​ ​ | Weighted
​ | ​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | ​ | Exercise
​ | ​ ​ ​ | Warrants | ​ ​ ​ | Price
Balance at December 31, 2023 |  | ​ | 408,640 | ​ | $ | 24.00
Granted |  | ​ | 2,334,382 | ​ |  | 2.73
Exercised |  | ​ | (1,275,441) | ​ |  | 3.71
Balance at December 31, 2024 |  | ​ | 1,467,581 | ​ | $ | 11.01
Granted (1) |  | ​ | 7,047,040 | ​ |  | 1.06
Exercised |  | ​ | (1,716,480) | ​ |  | 0.18
Balance at December 31, 2025 | ​ | ​ | 6,798,141 | ​ | $ | 2.36
​
| (1) | Excludes pre-funded warrants issued in connection with public offerings.
​
Schedule of remaining life, by grant date, for outstanding warrants | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ ​ ​ | ​ ​ ​ | ​ | ​ ​ ​ | Remaining | ​ ​ ​ | ​ ​ ​ | ​ ​ ​ | ​ ​ ​
​ | ​ | Exercise | ​ | Contractual | ​ | Outstanding | ​ | Exercisable
Grant Date | ​ ​ ​ | Price | ​ ​ ​ | Life in Years | ​ ​ ​ | Warrants | ​ ​ ​ | Warrants
May 09, 2023 | ​ | $ | 24.00 |  | 2.35 |  | 303,139 |  | 303,139
April 22, 2024 | ​ | ​ | 6.40 | ​ | 3.31 | ​ | 2,377 | ​ | 2,377
September 25, 2025 | ​ | ​ | 1.35 | ​ | 4.74 | ​ | 1,162,065 | ​ | 1,162,065
September 29, 2025 | ​ | ​ | 1.35 | ​ | 4.75 | ​ | 5,330,560 | ​ | 5,330,560
Total | ​ | ​ | ​ | ​ | ​ |  | 6,798,141 |  | 6,798,141
​

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