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Debt (Tables)
3 Months Ended
Mar. 31, 2022
Debt Disclosure [Abstract]  
Schedule of debt valuation assumptions
The assumptions used in the Black-Scholes option-pricing model at inception remain unchanged and were determined as follows:

Volatility98.01 %
Risk-free interest rate1.58 %
Expected life (in years)7
Dividend yield0 %
The assumptions used in the Black-Scholes warrant-pricing model were determined as follows:
March 31, 2022
Volatility100.0 %
Risk-free interest rate2.45 %
Weighted average expected life (in years)4.55
Dividend yield%
Schedule of carrying amounts of debt
The net carrying amounts of the liability components consists of the following (in thousands):

March 31, 2022December 31, 2021
Principal$19,200 $39,194 
Less: debt discount(3,160)(3,402)
Net carrying amount
$16,040 $35,792 
Schedule of interest expense recognized
The following table presents the interest expense recognized related to the 2024 Notes (in thousands):

Three Months Ended
March 31,
20222021
Contractual interest expense$1,160 $1,781 
Accretion of debt discount242 199 
Total interest expense$1,402 $1,980