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Fair Value Measurements | 6 Months Ended
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Jun. 30, 2025
Fair Value Measurements |
Fair Value Measurements | (3) Fair Value Measurements The Company measures certain assets and liabilities at fair value in accordance with ASC 820, Fair Value Measurements and Disclosures. ASC 820 defines fair value as the price that would be received to sell an asset or paid to transfer a liability (the exit price) in an orderly transaction between market participants at the measurement date. The guidance in ASC 820 outlines a valuation framework and creates a fair value hierarchy that serves to increase the consistency and comparability of fair value measurements and the related disclosures. In determining fair value, the Company maximizes the use of quoted prices and observable inputs. Observable inputs are inputs that market participants would use in pricing the asset or liability based on market data obtained from independent sources. The fair value hierarchy is broken down into three levels based on the source of inputs as follows: ​ Level 1—Valuations based on unadjusted quoted prices in active markets for identical assets or liabilities. Level 2—Valuations based on observable inputs and quoted prices in active markets for similar assets and liabilities. Level 3—Valuations based on unobservable inputs and models that are supported by little or no market activity. The following table provides the carrying value and fair value of certain financial assets and liabilities of the Company measured at fair value on a recurring basis as of June 30, 2025 and December 31, 2024: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ | ​ |  | Fair Value Measurement at
​ | ​ | ​ | ​ | ​ | June 30, 2025
​ | ​ | Carrying Value | ​ | Level 1 | ​ | Level 2 | ​ | Level 3
Assets: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Cash equivalents | ​ | $ | 501,457 | ​ | $ | 501,457 | ​ | $ | — | ​ | $ | —
Total assets measured and recorded at fair value | ​ | $ | 501,457 | ​ | $ | 501,457 | ​ | $ | — | ​ | $ | —
Liabilities: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Warrant liability | ​ | $ | 319,000 | ​ | $ | — | ​ | $ | — | ​ | $ | 319,000
Total liabilities measured and recorded at fair value | ​ | $ | 319,000 | ​ | $ | — | ​ | $ | — | ​ | $ | 319,000
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ | ​ |  | Fair Value Measurement at
​ | ​ | ​ | ​ | ​ | December 31, 2024
​ | ​ | Carrying Value | ​ | Level 1 | ​ | Level 2 | ​ | Level 3
Assets: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Cash equivalents | ​ | $ | 491,006 | ​ | $ | 491,006 | ​ | $ | — | ​ | $ | —
Total assets measured and recorded at fair value | ​ | $ | 491,006 | ​ | $ | 491,006 | ​ | $ | — | ​ | $ | —
Liabilities: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Warrant liability | ​ | $ | 737,000 | ​ | $ | — | ​ | $ | — | ​ | $ | 737,000
Total liabilities measured and recorded at fair value | ​ | $ | 737,000 | ​ | $ | — | ​ | $ | — | ​ | $ | 737,000
​ The Company did not transfer any financial instruments into or out of Level 3 classification, during the three or six months ended June 30, 2025 and 2024. (a) Canaccord Warrants The common stock warrants issued in connection with the Company’s equity raise in November 2023 (“Canaccord Warrants”) were classified as liabilities at the time of issuance due to certain cash settlement adjustment features that are outside of the Company’s control or not deemed to be indexed to the Company’s stock. The Canaccord Warrant liability is remeasured each reporting period with the change in fair value recorded to other income (expense) in the statements of operations until the warrants are exercised, expired, reclassified, or otherwise settled. From their date of issuance until the period ended June 30, 2024, the fair value of the Canaccord Warrants were estimated using a Monte Carlo simulation model, given the performance conditions outlined further below. However, during the period ended September 30, 2024, the Company determined that certain performance conditions could not be met and that going forward, their use as inputs for determining fair value was no longer appropriate. As such, after the period ended June 30, 2024, the fair value of the Canaccord Warrants was estimated using a Black-Scholes option-pricing model. The estimated fair value of the Canaccord Warrants is determined using Level 3 inputs. Inherent in a Black-Scholes option-pricing model are assumptions related to expected stock-price volatility, expected life, risk-free interest rate and other inputs. The Company estimates the volatility of its warrants based on implied volatility from the Company’s traded warrants. The risk-free interest rate is based on the market yield of U.S. Treasuries over a term commensurate with the remaining term to expiration. Any changes in these assumptions can change the associated valuation significantly. The following tables provide quantitative information regarding the Level 3 classified Canaccord Warrants as of their respective measurement dates: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ | ​ | June 30, 2025 |  | ​ | December 31, 2024 | ​
Exercise price | ​ | ​ | ​ | $ | 9.00 | ​ | ​ | $ | 9.00 | ​
Closing stock price | ​ | ​ | ​ | $ | 2.17 | ​ | ​ | $ | 5.03 | ​
Number of warrants | ​ | ​ | ​ |  | 308,333 | ​ | ​ |  | 308,333 | ​
Volatility | ​ | ​ | ​ |  | 113 | % | ​ |  | 80 | %
Term (time to expiration in years) | ​ | ​ | ​ |  | 3.34 | ​ | ​ |  | 3.84 | ​
Risk-free rate | ​ | ​ | ​ |  | 3.7 | % | ​ |  | 4.3 | %
​ The Canaccord Warrants have an exercise price of $9.00 per unit, and were redeemable at the Company’s option, in whole or in part, at a redemption price equal to $0.001 per Warrant upon 30 days’ prior written notice, at any time after:
| ● | the Company’s public announcement of Positive Topline Data (as defined in the Warrant Agreement) from its Phase 3 study in patients with Parkinson’s Disease; and
| ● | the date on which (a) the closing price of the Company’s common stock on the principal exchange or trading facility on which it is then traded has equaled or exceeded $14.25 and (b) the average daily trading value (“ADTV”) of the Company’s common stock is equal to or exceeds $2,000,000, for two consecutive Trading Days.
During the quarter ended September 30, 2024, the Company released topline data from its Phase 3 study in patients with Parkinson’s Disease. It was determined that based on the data, both criteria above required for redemption of the Canaccord Warrants were not met. The common stock warrants are exercisable immediately and will expire on November 2, 2028, five years from the date of issuance. See Note 7 – Stockholders’ Equity for additional background.

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- Definition The entire disclosure for the fair value of financial instruments (as defined), including financial assets and financial liabilities (collectively, as defined), and the measurements of those instruments as well as disclosures related to the fair value of non-financial assets and liabilities. Such disclosures about the financial instruments, assets, and liabilities would include: (1) the fair value of the required items together with their carrying amounts (as appropriate); (2) for items for which it is not practicable to estimate fair value, disclosure would include: (a) information pertinent to estimating fair value (including, carrying amount, effective interest rate, and maturity, and (b) the reasons why it is not practicable to estimate fair value; (3) significant concentrations of credit risk including: (a) information about the activity, region, or economic characteristics identifying a concentration, (b) the maximum amount of loss the entity is exposed to based on the gross fair value of the related item, (c) policy for requiring collateral or other security and information as to accessing such collateral or security, and (d) the nature and brief description of such collateral or security; (4) quantitative information about market risks and how such risks are managed; (5) for items measured on both a recurring and nonrecurring basis information regarding the inputs used to develop the fair value measurement; and (6) for items presented in the financial statement for which fair value measurement is elected: (a) information necessary to understand the reasons for the election, (b) discussion of the effect of fair value changes on earnings, (c) a description of [similar groups] items for which the election is made and the relation thereof to the balance sheet, the aggregate carrying value of items included in the balance sheet that are not eligible for the election; (7) all other required (as defined) and desired information. + References Reference 1: http://www.xbrl.org/2003/role/exampleRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 107 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482078/820-10-55-107 Reference 2: http://www.xbrl.org/2003/role/exampleRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 55 -Paragraph 100 -Publisher FASB -URI https://asc.fasb.org/1943274/2147482078/820-10-55-100 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (c)(3) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2E -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2E Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (h) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (f) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (e) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 9: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 6A -Subparagraph (d) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-6A Reference 10: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (h) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 11: http://www.xbrl.org/2003/role/disclosureRef -Topic 820 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (g) -Publisher FASB -URI https://asc.fasb.org/1943274/2147482106/820-10-50-2 Reference 12: http://www.xbrl.org/2003/role/disclosureRef -Topic 940 -SubTopic 820 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org/1943274/2147478119/940-820-50-1 + Details
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