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Stock-Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Stock-Based Compensation [Abstract]  
Stock-Based Compensation Expense
The Company’s stock-based compensation expense related to stock options was recognized in operating expense as follows:

 
 
Three Months Ended June 30,
  
Six Months Ended June 30,
 
 
 
2019
  
2018
  
2019
  
2018
 
 
 
(unaudited)
  
(unaudited)
 
Stock-Based Compensation
            
Research and development
 
$
9,387
  
$
43,997
  
$
450,087
  
$
47,216
 
General and administrative
  
9,193
   
630
   
2,323,364
   
4,426
 
Total
 
$
18,580
  
$
44,627
  
$
2,773,451
  
$
51,642
 
Assumptions Used to Value Stock Options Granted
The fair value of options granted during the three and six months ended June 30, 2019 and the six months ended June 30, 2018 was estimated using the Black-Scholes option valuation model utilizing the following assumptions. There were no options granted during the three and six months ended June 30, 2018.


 
 
Three Months Ended June 30,
  
Six Months Ended June 30,
 
 
 
2019
  
2018
  
2019
  
2018
 
 
 
Weighted Average
  
Weighted Average
  
Weighted Average
  
Weighted Average
 
 
 
(unaudited)
  
(unaudited)
 
Volatility
  
94.43
%
  
0.00
%
  
88.87
%
  
0.00
%
Risk-Free Interest Rate
  
2.19
%
  
0.00
%
  
2.34
%
  
0.00
%
Expected Term in Years
  
6.08
   
-
   
6.17
   
-
 
Dividend Rate
  
0.00
%
  
0.00
%
  
0.00
%
  
0.00
%
Fair Value of Option on Grant Date
 
$
4.77
  
$
-
  
$
5.31
  
$
-
 
Stock Option Activity
The following table summarizes the number of options outstanding and the weighted average exercise price:

  
Number
of Shares
  
Weighted Average
Exercise Price
  
Weighted Average
Remaining Contractual
Life in Years
  
Aggregate
Intrinsic Value
 
Options outstanding at December 31, 2018
  
541,117
  
$
7.20
       
Assumed in connection with Merger
  
347,697
   
121.52
       
Granted
  
800,137
   
7.57
       
Exercised
  
   
       
Forfeited
  
(270,650
)
  
99.13
       
Options outstanding at June 30, 2019
  
1,418,301
  
$
17.90
   
7.49
  
$
24,059
 
Vested and expected to vest at June 30, 2019
  
1,418,301
  
$
17.90
   
7.49
  
$
24,059
 
Exercisable at June 30, 2019
  
1,007,871
  
$
22.67
   
6.47
  
$
24,059