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Stockholders' equity (Details)
1 Months Ended 3 Months Ended 9 Months Ended
Mar. 11, 2024
USD ($)
$ / shares
shares
Nov. 12, 2020
USD ($)
Feb. 28, 2023
USD ($)
$ / shares
shares
Sep. 30, 2024
USD ($)
$ / shares
shares
Sep. 30, 2023
USD ($)
Sep. 30, 2024
USD ($)
Vote
$ / shares
shares
Sep. 30, 2023
USD ($)
shares
Jan. 26, 2024
USD ($)
Dec. 31, 2023
$ / shares
shares
Common stock                  
Stock, shares authorized | shares       440,000,000   440,000,000      
Common stock, shares authorized | shares       400,000,000   400,000,000     400,000,000
Common stock, par value (in dollars per share) | $ / shares       $ 0.001   $ 0.001     $ 0.001
Preferred stock, shares authorized | shares       40,000,000   40,000,000      
Preferred stock, par value (in dollars per share) | $ / shares       $ 0.001   $ 0.001      
Common stock issuable upon conversion (in shares) | shares       28,112   28,112      
Number of voting rights per common share | Vote           1      
Stock based compensation expense       $ 149,090 $ 76,031 $ 363,408 $ 361,598    
Shelf Registration Statement                  
Proceeds from issuance of common stock           15,999,598 5,788,918    
Common stock issuance costs           1,312,108 $ 648,928    
March 2024 Private Placement                  
Warrant exercises           $ 0      
Series A Convertible Preferred Stock                  
Common stock                  
Convertible preferred stock, shares outstanding | shares       56,227   56,227     56,227
March 2024 Private Placement | Pre-funded Warrants                  
March 2024 Private Placement                  
Warrants to purchase of shares | shares       507,076   507,076      
March 2024 Private Placement | Purchasers | Securities purchase agreement                  
Shelf Registration Statement                  
Shares issued | shares 1,687,712                
Common stock issuance costs $ 1,300,000                
March 2024 Private Placement                  
Offering price per share | $ / shares $ 7.29                
Common stock with an exercise price | $ / shares $ 0.001                
Percentage of outstanding shares 4.99%                
Proceeds from sale of common stock in a private placement $ 16,000,000.0                
Expected gross proceeds from potential future warrants cash exercise $ 18,000,000.0                
March 2024 Private Placement | Purchasers | Securities purchase agreement | At the election of holder                  
March 2024 Private Placement                  
Percentage of outstanding shares 9.99%                
March 2024 Private Placement | Purchasers | Securities purchase agreement | Pre-funded Warrants                  
March 2024 Private Placement                  
Offering price per share | $ / shares $ 7.289                
Warrants to purchase of shares | shares 507,076                
March 2024 Private Placement | Purchasers | Securities purchase agreement | Tranche A Warrants (Pre-funded Warrants Exercise Price 7.29 Per Share)                  
March 2024 Private Placement                  
Warrants to purchase of shares | shares 1,097,394                
Common stock with an exercise price | $ / shares $ 7.29                
Stock issuance anniversary period 3 years                
Number of days after announcement of Phase 2 dose for ATRN-119 30 days                
Volume weighted average price | $ / shares $ 14.58                
Number of consecutive trading days 30 days                
March 2024 Private Placement | Purchasers | Securities purchase agreement | Tranche B Warrants (Pre-funded Warrants Exercise Price 9.1125 Per Share)                  
March 2024 Private Placement                  
Common stock with an exercise price | $ / shares $ 9.1125                
Stock issuance anniversary period 5 years                
Number of days after announcement of Phase 2 dose for ATRN-119 30 days                
Volume weighted average price | $ / shares $ 18.225                
2020 Shelf Registration Statement                  
Shelf Registration Statement                  
Maximum amount to be issued under universal shelf registration statement   $ 350,000,000.0              
2020 Shelf Registration Statement | Common Stock                  
Shelf Registration Statement                  
Shares issued | shares     1,050,000            
Issue price per share | $ / shares     $ 5.25            
Proceeds from issuance of common stock     $ 4,900,000            
Common stock issuance costs     $ 600,000            
ATM offering                  
Common stock                  
Commission payable as a percentage of gross proceeds from sale of common stock under ATM offering   3.00%              
Shelf Registration Statement                  
Maximum amount to be issued under at-the-market offering program   $ 14,744,728              
Shares issued | shares             26,302    
Proceeds from issuance of common shares             $ 300,000    
Common stock issuance costs             $ 8,000    
2024 Shelf Registration Statement                  
Shelf Registration Statement                  
Maximum amount to be issued under universal shelf registration statement               $ 150,000,000  
Maximum amount to be issued under at-the-market offering program               1,000,000  
Maximum amount to be issued under at-the-market offering program, supplement               2,000,000  
2024 ATM offering | HCW                  
Shelf Registration Statement                  
Maximum amount to be issued under at-the-market offering program               $ 2,000,000