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Stockholders' Equity (Tables)
9 Months Ended
Sep. 30, 2022
Stockholders' Equity  
Schedule of common stock warrants outstanding

​

​

​

​

​

    

Common Stock 

​

​

Warrants

Outstanding, December 31, 2020

 

758,939

Issued

 

31,000

Expired

 

(42,556)

Outstanding, September 30, 2021

 

747,383

Schedule of stock option valuation assumptions

The following table summarizes weighted-average assumptions used in our calculations of fair value for the nine months ended September 30, 2022 and 2021:

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​

​

​

​

​

​

​

    

2022

​

​

2021

​

Dividend yield

 

—

%  

​

—

%

Expected volatility

 

102.75

%  

​

102.15

%

Risk-free interest rate

 

2.51

%  

​

0.67

%

Expected lives (years)

 

6.0

years

​

5.6

years

Schedule of stock option activity

​

​

​

​

​

​

​

​

​

​

​

​

​

​

    

​

    

Weighted

 

​

 

Weighted

​

​

​

​

Average

 

Aggregate

 

Average

​

​

​

​

Exercise

 

Intrinsic

 

Remaining

​

​

Shares

​

Price

 

Value

 

Contractual Life

Stock options outstanding at December 31, 2021

​

2,954,315

​

$

7.62

​

​

​

​

​

​

Granted

 

204,050

​

$

2.79

​

 

​

​

​

​

Expired

 

(40,375)

​

$

12.72

​

 

​

​

​

​

Forfeited

 

(111,022)

​

$

4.71

​

 

​

​

​

​

Stock options outstanding at September 30, 2022

 

3,006,968

​

$

7.34

​

$

42,330

​

8.3

Years

Stock options exercisable at September 30, 2022

​

1,580,965

​

$

10.00

​

$

42,330

​

7.6

Years

Schedule of restricted stock activity

​

​

​

​

​

​

​

​

​

​

​

Weighted

​

​

​

​

Average

​

​

Shares

​

Fair Value

Restricted stock at December 31, 2021

​

370,170

​

$

4.71

Vested

​

(323,311)

​

$

4.92

Restricted stock at September 30, 2022

​

46,859

​

$

3.28