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Stockholders' 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