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Equity (Tables)
6 Months Ended
Jun. 30, 2021
Equity Method Investments and Joint Ventures [Abstract]  
Summary of warrants outstanding
                           
    Shares of Common Stock Issuable from Warrants Outstanding as of   Weighted    
    June 30,   December 31,   Average    
Description   2021   2020   Exercise Price   Expiration
Series E     584,416       584,416     $ 1.54     September 9, 2021
Series F     7,246       7,246     $ 3.45     February 23, 2022 & March 9, 2022
Series G     460,250       460,250     $ 2.68     July 21, 2022
Series H     910,000       910,000     $ 2.75     October 16, 2022
Series I     10,335,000       10,335,000     $ 2.00     November 26, 2025
Total     12,296,912       12,296,912              
Summary of stock option activity
               
    Number of Options   Weighted Average Exercise Price ($)   Weighted Average Remaining Contractual Term (years)   Aggregate Intrinsic Value ($)
Outstanding at December 31, 2020     5,895,570       2.45       5.14       3,376,267  
Forfeited     (2,805,571 )     2.74                  
Outstanding at June 30, 2021     3,089,999       2.18       4.96       4,177,775  
Vested and exercisable at June 30, 2021     2,427,499       1.90       4.93       3,972,400  

 

Summary of assumption of stock option activity
   
    Six Months Ended
    June 30, 2020
Risk-free interest rate   0.034% - 1.67%
Expected term in years   3.25 4.98
Weighted Avg. Expected Volatility   105.71% 106.88%
Expected dividend yield     0%  

 

The risk-free interest rate assumption is based upon observed interest rates on zero coupon U.S. Treasury bonds whose maturity period is appropriate for the expected term. Estimated volatility is a measure of the amount by which the stock price is expected to fluctuate each year during the term of an award. Our calculation of estimated volatility is based on historical stock prices over a period equal to the term of the awards. The average expected life is based on the contractual terms of the stock option using the simplified method. We utilize a dividend yield of zero based on the fact that we have never paid cash dividends and have no current intention to pay cash dividends. Future stock-based compensation may significantly differ based on changes in the fair value of our Common Stock and our estimates of expected volatility and the other relevant assumptions.

Summary of consolidated statement of operations
                               
    Three Months Ended June 30,   Six Months Ended June 30
    2021   2020   2021   2020
Research and development   $ 228,625     $ 631,876     $ 507,438     $ 631,876  
General and administrative     (29,026 )     954,646       (1,182,601 )     1,420,409  
Total   $ (199,599 )   $ 1,586,522     $ (675,163 )   $ 2,052,285