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Stock-Based Compensation - Assumptions Used in Determining Fair Value of Stock Options (Details) - $ / shares
9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Stock-Based Compensation    
Options to purchase common stock granted to employees and directors 1,356,700 1,215,382
Average risk free interest rate 0.40% 1.00%
Dividend rate 0.00% 0.00%
Expected lives (years) 3 years 7 months 6 days 3 years 10 months 24 days
Expected volatility 94.00% 84.00%
Weighted average exercise price of options granted during the period (per share) $ 2.68 $ 2.08