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Condensed Consolidated Statements of Operations - USD ($)
 3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Dec. 31, 2022
Defined Benefit Plan Disclosure [Line Items]            
Revenue
Operating expenses            
Research and development 1,400,564 1,045,177 2,632,387 2,806,644 3,517,093 1,047,385
General and administrative 328,995 265,553 963,642 730,186 1,046,854 473,714
Legal and professional 1,322,002 288,416 2,323,013 1,072,728 1,328,435 822,727
Total operating expenses 3,051,561 1,599,146 5,919,042 4,609,558 5,892,382 2,343,826
Loss from operations (3,051,561) (1,599,146) (5,919,042) (4,609,558) (5,892,382) (2,343,826)
Other income (expense)            
Interest income 2,524 20,765 38,135 56,720 79,117
Finance fee (104,245) (104,245) (189,912)
Change in fair value of derivative liabilities 286,316 442,900 340,405 2,118,175 2,216,488 (189,000)
Change in fair value of warrant liabilities, as restated         (398,675)
Gain on sale of marketable securities 56,398 100,118 1,744 4,970
Change in fair value of marketable securities (42,898) 9,606 (71,568) 21,134 71,568
Loss on settlement of convertible debt (762,186) (43,414) (833,501) (477,221) (477,221) (1,795,652)
Gain on settlement of accounts payable         328,687
Gain on forgiveness of Paycheck Protection Program note payable         73,007
Total other expense, as restated (732,521) (193,608) (1,627,286) (342,665) (700,341) (2,652,243)
Net loss $ (3,784,082) $ (1,792,754) $ (7,546,328) $ (4,952,223) (6,592,723) (4,996,069)
Dividend on Series A Convertible Preferred Stock, as restated         (402,064)
Deemed dividend on extinguishment of Series A Convertible Preferred Stock, as restated         (439,427)
Deemed dividend on modification of equity-classified warrants, as restated         (941,000)
Deemed contribution on conversion of preferred stock and settlement of preferred stock dividends, as restated         31,423
Net loss attributable to common stockholders         $ (6,592,723) $ (6,747,137)
Weighted average common shares outstanding basic 2,384,177 1,969,904 2,189,366 1,820,006 1,866,275 1,337,742
Weighted average common shares outstanding diluted 2,384,177 1,969,904 2,189,366 1,820,006 1,866,275 1,337,742
Net loss per share - basic $ (1.59) $ (0.91) $ (3.45) $ (2.72) $ (3.53) $ (5.04)
Net loss per share - diluted $ (1.59) $ (0.91) $ (3.45) $ (2.72) $ (3.53) $ (5.04)
Related Party [Member]            
Other income (expense)            
Interest expense $ (2,137) $ (2,137) $ (6,825) $ (6,825) $ (52,010)
Nonrelated Party [Member]            
Other income (expense)            
Interest expense $ (270,538) $ (623,465) $ (1,198,738) $ (1,952,147) $ (2,484,193) $ (428,688)