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Stockholders' Equity (Deficit) (Details Narrative) - USD ($) |  |  |  |  |  |  |  | 3 Months Ended | 6 Months Ended | 9 Months Ended | 12 Months Ended |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Jul. 18, 2020 | Feb. 21, 2020 | Feb. 21, 2020 | Jan. 02, 2020 | Jun. 17, 2019 | Feb. 25, 2019 | Jan. 02, 2019 | Jan. 02, 2017 | Sep. 30, 2020 | Sep. 30, 2019 | Jun. 30, 2020 | Sep. 30, 2020 | Sep. 30, 2019 | Dec. 31, 2019 | Dec. 31, 2018 | Dec. 31, 2016
Stock options outstanding |  |  |  |  |  |  |  |  | 5,597,861 |  |  | 5,597,861 |  | 3,835,366 | 3,846,299 |
Stock options outstanding weighted average exercise price |  |  |  |  |  |  |  |  | $ 1.47 |  |  | $ 1.47 |  | $ 1.34 | $ 1.36 |
Stock options vest and grant date fair value |  |  |  |  |  |  |  |  |  |  |  | $ 1.39 |  | $ 1.46 |  |
Stock options intrinsic value |  |  |  |  |  |  |  |  | $ 1,407,792 |  |  | $ 1,407,792 |  | $ 635,536 |  |
Number of stock options granted |  |  |  |  |  |  |  |  |  |  |  | 1,762,495 |  | 126,567 |  |
Stock option weighted average exercise price per share |  |  |  |  |  |  |  |  |  |  |  | $ 1.75 |  | $ 1.15 |  |
Stock options granted, term |  |  |  |  |  |  |  |  |  |  |  | 6 years 7 days |  | 7 years 2 months 12 days |  |
Number of stock options vested |  |  |  |  |  |  |  |  |  |  |  | 760,488 |  | 584,895 |  |
Debt amortized debt discount |  |  |  |  |  |  |  |  |  |  |  | $ 104,169 |  |  |  |
Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares |  | 100,000 | 100,000 |  |  |  |  |  | 98,800 |  | 81,600 | 98,800 |  |  |  |
Warrant exercise price |  | $ 1.25 | $ 1.25 |  |  |  |  |  | $ 1.25 |  | $ 1.25 | $ 1.25 |  |  |  |
Class of warrant or right, expiration period |  |  |  |  |  |  |  |  | 5 years |  | 5 years |  |  |  |  |
Class of warrant or right, outstanding |  |  |  |  |  |  |  |  | 4,007,058 |  |  | 4,007,058 |  | 3,826,658 |  |
Class of warrant or right, outstanding, weighted average exercise price |  |  |  |  |  |  |  |  | $ 1.06 |  |  | $ 1.06 |  | $ 1.05 |  |
Class of warrant or right, outstanding, intrinsic value |  |  |  |  |  |  |  |  | $ 643,130 |  |  | $ 643,130 |  | $ 1,375,990 |  |
Class of warrant or right, expiration period, description |  |  | The expiration date was extended by two years from January 2, 2020 to January 2, 2022. |  |  |  |  |  |  |  |  |  |  |  |  |
Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt amortized debt discount |  |  |  |  |  |  |  |  |  |  |  | $ 5,840 | 0 |  |  |
Series B Preferred Stock [Member] | Placement Agent Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares |  |  |  |  |  |  |  |  | 127,346 |  |  | 127,346 |  |  |  |
Warrant exercise price |  |  |  |  |  |  |  |  | $ 1.25 |  |  | $ 1.25 |  |  |  |
Series B Preferred Stock [Member] | Private Placement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares |  |  |  |  |  |  |  |  | 423,291 |  |  | 423,291 |  |  |  |
Warrant exercise price |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.25
Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares |  |  |  |  |  |  |  |  | 3,403,367 |  |  | 3,403,367 |  |  |  |
Warrant exercise price |  |  |  |  |  |  |  |  | $ 1.05 |  |  | $ 1.05 |  |  |  |
Class of warrant or right, expiration period |  |  |  |  |  |  |  |  |  |  |  | 5 years |  |  |  |
Options To Related Party [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment award, expiration period | 10 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding | 124,998 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding weighted average exercise price | $ 1.75 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Dr. Buell [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment award, expiration period | 48 months |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding | 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding weighted average exercise price | $ 1.75 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Additional Issuance of Warrants for Debt [Member] | Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, face amount |  |  |  |  |  |  |  |  | $ 665,000 |  |  | $ 665,000 |  |  |  |
Additional Issuance of Warrants for Accrued Interest [Member] | Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accrued interest |  |  |  |  |  |  |  |  | $ 35,000 |  |  | $ 35,000 |  |  |  |
Additional Issuance of Warrants [Member] | Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares |  |  |  |  |  |  |  |  | 295,945 |  |  | 295,945 |  |  |  |
Warrant exercise price |  |  |  |  |  |  |  |  | $ 1.25 |  |  | $ 1.25 |  |  |  |
Employees [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  | $ 351,696 |  |  | $ 858,884 |  |  |  |
Unamortized stock option expense |  |  |  |  |  |  |  |  | 563,267 |  |  | 563,267 |  |  |  |
Non-Employees [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  | 106,871 |  |  | 264,267 |  |  |  |
Unamortized stock option expense |  |  |  |  |  |  |  |  | 138,724 |  |  | 138,724 |  |  |  |
Stock Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment award, expiration period | 10 years |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding | 105,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding weighted average exercise price | $ 1.75 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  |  |  |  |  |  |  |  | 458,567 | $ 139,066 |  | 1,123,151 | $ 850,767 |  |  |
Unamortized stock option expense |  |  |  |  |  |  |  |  | $ 701,991 |  |  | $ 701,991 |  |  |  |
Number of stock options granted |  |  |  |  |  |  |  |  |  |  |  | 1,762,495 | 126,567 |  |  |
Stock option weighted average exercise price per share |  |  |  |  |  |  |  |  |  |  |  | $ 1.00 | $ 1.75 |  |  |
Employee service share-based compensation, nonvested awards, compensation cost not yet recognized, period for recognition |  |  |  |  |  |  |  |  | 2 years 1 month 6 days |  |  |  |  |  |  |
Stock Options [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options granted |  |  |  |  | 25,000 | 101,567 |  |  |  |  |  |  |  |  |  |
Stock option weighted average exercise price per share |  |  |  |  | $ 1.75 | $ 1.00 |  |  |  |  |  |  |  |  |  |
Stock options fair value |  |  |  |  | $ 36,374 | $ 199,807 |  |  |  |  |  |  |  |  |  |
Stock options granted, term |  |  |  |  | 10 years | 10 years |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  |  |  |  |  | 59,900 |  |  |  |  |  |  |  |  |  |
Number of options shares issued for settlement |  |  |  |  |  | 59,900 |  |  |  |  |  |  |  |  |  |
Settlement amount |  |  |  |  |  | $ 29,850 |  |  |  |  |  |  |  |  |  |
Loss in settlement |  |  |  |  |  | $ 99,541 |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Settlement of Accrued Compensation [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Compensation expense |  | $ 93,950 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options granted |  | 187,497 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options fair value |  | $ 1,901,724 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Vest bi-Weekly Over Two Months [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  |  |  |  |  | 41,667 |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Immediately [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  | 187,497 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Immediately [Member] | Options To Related Party [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options vest and grant date fair value | 142,607 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Over 12 Months [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  | 510,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Over 24 Months [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  | 5,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Over 36 Months [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  | 420,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested Over 48 Months [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options vested |  | 265,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options vest and grant date fair value | 119,972 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Options Vested [Member] | Dr. Buell [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options vest and grant date fair value | $ 165,426 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Sixteen Individuals [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options granted |  | 1,387,497 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock option weighted average exercise price per share |  | $ 1.75 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock Options [Member] | Twelve Related Parties [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of stock options granted |  | 1,362,497 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock option weighted average exercise price per share |  | $ 1.75 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Recognition Upcoming Service [Member] | Dr. Buell [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Share-based payment award, expiration period | 12 months |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Stock options outstanding | 45,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Black-Scholes Model [Member] | Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares value |  |  |  |  |  |  |  |  |  |  | $ 86,968 |  |  |  |  |
June 30, 2020 [Member] | Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt amortized debt discount |  |  |  |  |  |  |  |  |  |  |  | $ 6,643 | $ 0 |  |  |
Black-Scholes Model Two [Member] | Warrant [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Warrants to purchase shares value |  |  |  |  |  |  |  |  | $ 105,194 |  |  |  |  |  |  |
The 2016 Plan [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Number of additional shares grants for issuance |  |  |  | 567,378 |  |  | 564,378 | 564,378 |  |  |  |  |  |  |  |
Number of shares available for grant |  |  |  | 1,693,134 |  |  | 1,693,134 | 1,693,134 | 4,868,623 |  |  | 4,868,623 |  | 4,304,245 |  |
Share-based payment award, expiration period |  |  |  |  |  |  |  |  |  |  |  | 10 years |  |  |  |

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