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Stockholders' Equity (Tables)
9 Months Ended
Sep. 30, 2018
Equity [Abstract]  
Compensation Expense Related to Stock-Based Compensation Plans
The expense related to the Company’s stock-based compensation plans included in the accompanying Consolidated Statements of Operations was as follows (in thousands):
 
 
Three months ended September 30,
 
Nine months ended September 30,
 
 
 
2018
 
2017
 
2018
 
2017
 
Cost of sales
$
255

 
$
117

 
$
751

 
$
354

 
Research and development
539

 
396

 
1,732

 
1,212

 
Sales and marketing
686

 
434

 
2,199

 
1,341

 
General and administrative
1,295

 
932

 
4,508

 
3,031

 
Total stock-based compensation expense
$
2,775

 
$
1,879

 
$
9,190

 
$
5,938

Estimated Fair Value of Each Stock Option Award
The estimated fair value of each stock option was determined on the date of grant using the Black-Scholes option valuation model with the following weighted-average assumptions for the option grants.
 
Nine months ended September 30,
 
2018
 
2017
Risk-free interest rate
2.49
%
 
2.31
%
Expected option life (in years)
6.29

 
6.63

Volatility rate
36
%
 
36
%
Dividend rate
%
 
%