Warrants (Tables)

12 Months Ended

Dec. 31, 2021

Warrants [Abstract]

Warrant Transactions

Warrant transactions for the years ending December 31, 2021 and 2020 were as follows:

	Warrants			Exercise Price Per Share		Weighted Average Price
Warrants outstanding and exercisable on January 1, 2020		537,829		$	10.70 - 73.70	$	25.30
Granted during the period		1,987,968		$	8.50 - 14.20	$	8.80
Expired during the period		(8,075	)	$	32.50 - 73.70	$	41.10
Exercised during the period		-			-		-
Warrants outstanding and exercisable on December 31, 2020		2,517,722		$	8.50 - 73.70	$	12.20
Warrants outstanding and exercisable on January 1, 2021		2,517,722		$	8.50 - 73.70	$	12.20
Granted during the period		4,095,602		$	0.01 - 16.90		7.46
Expired during the period		(133,346	)	$	0.01 - 14.20	$	33.98
Exercised during the period		(952,588	)	$	15.00 - 73.70	$	5.32
Warrants outstanding and exercisable on December 31, 2021		5,527,390		$	0.80 – 6.60	$	9.49

Warrants Exercisable Price Range

Warrants exercisable at December 31, 2021 were as follows:

	Exercise Price		Number of Shares Under Warrants		Weighted Average Remaining Contract Life in Years		Weighted Average Exercise Price
	$	0.00 - 9.99		4,582,860		4.12
	$	10.00 - 19.99		803,631		3.54
	$	20.00 - 29.99		32,003		1.56
	$	30.00 - 39.99		43,463		0.57
	$	40.00 - 49.99		16,425		0.27
	$	50.00 - 59.99		48,208		0.40
	$	60.00 - 69.99		800		0.42
Totals				5,527,390		3.95	$      9.49

Weighted Average Assumptions

The grant date fair values were calculated using the Black-Scholes model with the following weighted average assumptions:

	December 31,
	2021			2020
Expected life (in years)		4.38			5
Volatility		83.8- 90.8	%		81.0- 85.0	%
Risk-free interest rate		0.36- 0.90	%		0.28- 1.67	%
Dividend yield		-	%		-	%