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Stock-Based Compensation (Tables)

6 Months Ended

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:

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​

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​

​

​

​

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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- References

No definition available.

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- Definition

Tabular disclosure of allocation of amount expensed and capitalized for award under share-based payment arrangement to statement of income or comprehensive income and statement of financial position. Includes, but is not limited to, corresponding line item in financial statement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (h)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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- Definition

Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(1)
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-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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-Name Accounting Standards Codification
-Section 50
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-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
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