Stockholders' equity (Tables)

9 Months Ended

Sep. 30, 2021

Stockholders' Equity Note [Abstract]

Schedule of Company Recognized Stock-Based Compensation Expense

For the three and nine months ended September 30, 2021 and 2020, the Company recognized share-based compensation expense as follows:

	Three months ended September 30,				Nine months ended September 30,
	2021		2020		2021		2020
Cost of services	$	2,977	$	736	$	7,323	$	2,191
Research and development		65,836		12,259		168,592		38,322
General and administrative		112,706		24,100		427,487		102,810
Sales and marketing		35,637		4,608		64,972		11,707
	$	217,156	$	41,703	$	668,374	$	155,030

Schedule of Warrants to Purchase Shares of Common Stock

At September 30, 2021 and December 31, 2020, the following warrants to purchase shares of common stock were outstanding:

					Outstanding at
Issuance	Exercise Price		Expiration		September 30, 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
June 2016	$	656.20		May 2021		—		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	$	212.50		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		—
						8,717,963		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.