Stockholders' equity (Tables)

3 Months Ended

Mar. 31, 2021

Stockholders' Equity Note [Abstract]

Schedule of Company Recognized Stock-Based Compensation Expense

For the three months ended March 31, 2021 and 2020, the Company recognized share-based compensation expense as follows: 

	Three months ended March 31,
	2021		2020
Cost of services	$	1,402	$	728
Research and development		34,973		13,986
General and administrative		141,992		61,488
Sales and marketing		11,303		3,538
	$	189,670	$	79,740

Schedule of Warrants to Purchase Shares of Common Stock

At March 31, 2021 and December 31, 2020, the following warrants to purchase shares of common stock were outstanding:

				Outstanding at
Issuance		Exercise Price	Expiration	March 31, 2021 (1)	December 31, 2020 (1)
November 2011	$	3,955.00	November 2021	15	15
December 2011	$	3,955.00	December 2021	2	2
February 2015	$	3,300.00	February 2025	451	451
May 2016	$	656.20	May 2021	9,483	9,483
June 2016	$	656.20	May 2021	4,102	4,102
June 2017	$	390.00	June 2022	938	938
July 2017	$	345.00	July 2022	318	318
July 2017	$	250.00	July 2022	2,501	2,501
July 2017	$	212.60	July 2022	50,006	50,006
February 2018	$	81.25	February 2023	9,232	9,232
February 2018	$	65.00	February 2023	92,338	92,338
October 2019	$	2.00	October 2024	354,000	359,000
October 2019	$	2.60	October 2024	235,000	235,000
November 2020	$	1.94	May 2026	—	4,842,615
November 2020	$	2.68	May 2026	242,130	242,130
February 2021	$	3.55	August 2026	4,166,666	—
February 2021	$	3.90	August 2026	416,666	—
March 2021	$	3.56	March 2026	3,147,700	—
				8,731,548	5,848,131

The warrants listed above were issued in connection with various debt, equity or development contract agreements.

(1) Warrants to purchase fractional shares of common stock resulting from the reverse stock split on August 22, 2019 were rounded up to the next whole share of common stock on a holder by holder basis.