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Stockholders' Equity (Deficit) (Tables)
12 Months Ended
Dec. 31, 2025
Stockholders' Equity (Deficit)  
Schedule of 2024 offerings

Additional

Total

Common Stock

Paid-In

Stockholders’

  ​ ​ ​

Shares

  ​ ​ ​

Amount

  ​ ​ ​

Capital

  ​ ​ ​

Equity

April Offering

 

40,297

$

4

$

1,888,825

$

1,888,829

July Offering

 

94,697

 

10

 

4,299,391

 

4,299,401

August Offering

 

160,624

 

16

 

4,451,091

 

4,451,107

September Offering

 

107,875

 

11

 

3,597,659

 

3,597,670

November Offering

 

112,500

 

11

 

1,058,792

 

1,058,803

December Offering

 

137,500

 

14

 

1,715,498

 

1,715,512

 

653,493

$

66

$

17,011,256

$

17,011,322

Schedule of fair value assumptions used for warrant liability

  ​ ​ ​

Before Modification

  ​ ​ ​

After Modification

Risk free interest rate

4.42%

4.42%

Term

 

4.96 years

 

5.51 years

Volatility

 

110%

 

107%

Dividends

 

n/a

 

n/a

For the Years Ended

December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

Risk free interest rate

 

4.42%

4.39% - 5.22%

Expected term

 

5.51 years

0.7 - 5.5 years

Expected volatility

 

107%

86% - 118%

Expected dividends

 

n/a

n/a

Schedule of the warrant activity and related information

Weighted

Weighted

Average

Average

Remaining

Aggregate

Number of

Exercise

Life

Intrinsic

  ​ ​ ​

Warrants

  ​ ​ ​

Price

  ​ ​ ​

In Years

  ​ ​ ​

Value

Outstanding January 1, 2025

 

1,166,017

$

22.33

 

 

Issued

 

33,359,619

$

3.28

 

 

Repriced - (Old) (1)

 

(197,118)

$

55.20

 

 

Repriced - (New) (1)

 

197,118

$

5.27

 

 

Expired

 

(5,605)

$

207.39

 

Exercised

(699,246)

$

7.05

Outstanding December 31, 2025

33,820,785

$

3.54

4.5

$

10,110,769

Exercisable December 31, 2025

 

33,820,785

$

3.54

 

4.5

$

10,110,769

(1)

Repriced warrants represent the reset of the exercise price of certain warrants to purchase 197,118 shares of common stock to a price of $5.27 per share.

Schedule of warrants outstanding

Warrants Outstanding

Warants Exercisable

Weighted

Outstanding

Average

Exercisable

Exercise

Number of

Remaining Life

Number of

Price

  ​ ​ ​

Warrants

  ​ ​ ​

In Years

  ​ ​ ​

Warrants

$3.2500

 

32,615,381

4.5

 

32,615,381

$4.0000

 

350,000

4.5

 

350,000

$5.2720

394,234

4.6

394,236

$8.6080

302,045

4.1

302,045

$197.5680

108,696

4.1

108,696

$217.9200

 

49,280

 

4.0

 

49,280

$380.8000

 

1,149

 

5.3

 

1,149

 

33,820,785

 

4.5

 

33,820,787

Schedule of stock-based compensation expense

  ​ ​ ​

For the Years Ended

  ​ ​ ​

December 31,

  ​ ​ ​

2025

  ​ ​ ​

2024

Research and development

 

$

389,245

$

623,049

Selling, general and administrative

5,982,767

1,081,224

 

$

6,372,012

$

1,704,273

Summary of restricted stock units ("RSUs") activity

Weighted

Average

Number of

Grant Date

  ​ ​ ​

RSUs

  ​ ​ ​

Price

RSUs non-vested January 1, 2025

 

4,608

$

52.00

Granted

 

2,401,725

 

5.96

Vested

 

(810,833)

 

5.91

Forfeited

 

(50,500)

 

1.31

RSUs non-vested December 31, 2025

 

1,545,000

$

6.63

Vested RSUs undelivered December 31, 2025

 

284,551

$

5.49

Schedule of Barrier option pricing model to restricted stock units granted

  ​ ​ ​

August 31, 2025

  ​ ​ ​

September 29, 2025

Award

Award

Risk free interest rate

 

4.80%

 

4.60%

Term

 

30 years

 

30 years

Volatility

 

108%

 

106%

Dividends

 

n/a

 

n/a

Summary of the option activity

  ​ ​ ​

  ​ ​ ​

  ​ ​ ​

Weighted

  ​ ​ ​

Weighted

Average

Average

Remaining

Aggregate

Number of

Exercise

Life

Intrinsic

  ​ ​ ​

Options

  ​ ​ ​

Price

  ​ ​ ​

in Years

  ​ ​ ​

Value

Outstanding, January 1, 2025

 

68,183

$

231.06

 

 

Granted

 

60,000

 

11.28

 

 

Exercised

 

 

 

 

Forfeited/Expired

 

(36,108)

 

240.62

 

 

Outstanding, December 31, 2025

 

92,075

$

84.17

 

7.5

$

Exercisable, December 31, 2025

 

31,281

$

222.09

 

3.1

$

Schedule of information related to stock options

The following table presents information related to stock options as of December 31, 2025:

Options Outstanding

Options Exercisable

Weighted

Average

Exercise

Number of

Remaining Life

Number of

Price

  ​ ​ ​

Options

  ​ ​ ​

In Years

  ​ ​ ​

Options

$0.01 - $19.99

60,000

$20.00 - $59.99

4,743

8.4

4,655

$60.00 - $99.99

62

8.3

34

$ 100.00+

27,270

2.3

26,592

92,075

3.1

31,281

Schedule of Black-Scholes option pricing model to stock options granted

For the Years Ended

December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

Expected term (years)

 

5.85

 

5.50 - 10.00

Risk free interest rate

 

4.38%

3.47% - 4.72%

Expected volatility

 

121%

80% - 87%

Expected dividends

 

0.00%

0.00%