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Stockholders' Deficit (Details Narrative) - USD ($)
3 Months Ended 12 Months Ended
Jul. 18, 2020
Jun. 30, 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
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2016
Stock options outstanding                     5,597,861 3,835,366 3,846,299  
Stock options outstanding weighted average exercise price                     $ 1.47 $ 1.34 $ 1.36  
Stock options intrinsic value                     $ 38,328 $ 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                     1,104,044 584,895    
Stock options vest and grant date fair value                     $ 1.75 $ 1.46    
Class of warrant or right, outstanding                     4,007,058 3,826,658 3,826,658  
Debt discount                     $ 154,899 $ 11,370    
Warrants [Member]                            
Compensation expense   $ 6,643   $ 95,187           $ 5,840        
Warrants to purchase shares   81,600 100,000 100,000           98,800        
Warrant exercise price   $ 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 3,826,658    
Class of warrant or right, outstanding, weighted average exercise price                     $ 1.06 $ 1.05    
Class of warrant or right, outstanding, intrinsic value                     $ 782,668 $ 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.                    
Debt discount   $ 80,325               $ 99,354        
Series B Preferred Stock [Member] | Private Placement [Member]                            
Warrants to purchase shares                     423,291      
Warrant exercise price                           $ 1.25
Class of warrant or right, expiration period                           5 years
Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member]                            
Warrants to purchase shares                     3,403,367      
Warrant exercise price                     $ 1.05      
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      
Additional Issuance of Warrants for Accrued Interest [Member] | Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member]                            
Accrued interest                     $ 35,000      
Additional Issuance of Warrants [Member] | Series B Preferred Stock [Member] | Private Placement [Member] | Protagenic Warrants [Member]                            
Warrants to purchase shares                     295,945      
Warrant exercise price                     $ 1.25      
Class of warrant or right, expiration period                     5 years      
Employees [Member]                            
Compensation expense                     $ 1,046,795      
Unamortized stock option expense                     305,527      
Non-Employees [Member]                            
Compensation expense                     380,289      
Unamortized stock option expense                     $ 593,138      
Stock Options [Member]                            
Number of stock options granted           25,000 101,567       1,762,495 126,567    
Stock option weighted average exercise price per share           $ 1.75 $ 1.00       $ 1.00 $ 1.75    
Compensation expense                     $ 1,427,084 $ 797,761    
Employee service share-based compensation, nonvested awards, compensation cost not yet recognized, period for recognition                     2 years 11 months 26 days      
Stock options granted, term           10 years 10 years              
Number of stock options vested             59,900              
Stock options fair value           $ 36,374 $ 199,807              
Number of options shares issued for settlement             59,900              
Number of options shares issued for settlement, value             $ 29,850              
Loss on settlement of accounts payable             $ 99,541              
Stock Options [Member] | Options to Related Party [Member]                            
Vesting period, description These options vest immediately                          
Stock options vest and grant date fair value $ 142,607                          
Stock Options [Member] | Dr. Buell [Member]                            
Stock options vest and grant date fair value $ 165,426                          
Stock Options [Member] | Settlement of Accrued Compensation [Member]                            
Number of stock options granted     187,497                      
Compensation expense     $ 93,950                      
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 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] | 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                      
Stock Options [Member] | General and Administrative Expense [Member]                            
Compensation expense                     $ 1,354,750 698,293    
Stock Options [Member] | Research and Development Expenses [Member]                            
Compensation expense                     72,334 $ 99,468    
Stock Options [Member]                            
Unamortized stock option expense                     $ 898,665      
Stock Options to Consultants [Member]                            
Share-based payment award, expiration period 10 years                          
Stock options outstanding 105,000                          
Stock options outstanding weighted average exercise price $ 1.75                          
Vesting period, description These options vest monthly over four years                          
Stock options vest and grant date fair value $ 119,792                          
Recognition Upcoming Service [Member] | Dr. Buell [Member]                            
Share-based payment award, expiration period 12 months                          
Stock options outstanding 45,000                          
Placement Agent Warrants [Member] | Series B Preferred Stock [Member]                            
Warrants to purchase shares                     127,346      
Warrant exercise price                     $ 1.25      
Black-Scholes Model [Member] | Warrants [Member]                            
Warrants to purchase shares value   $ 86,968                        
Black-Scholes Model Two [Member] | Warrants [Member]                            
Warrants to purchase shares value                   $ 105,194        
2016 Plan [Member]                            
Number of additional shares grants for issuance         564,378     564,378 564,378          
Number of shares available for grant         1,693,134     1,693,134 1,693,134   4,868,623 4,304,245    
Share-based payment award, expiration period                     10 years