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Share-Based Compensation - Stock option and restricted stock unit activity (Details) - USD ($)
$ / shares in Units, $ in Thousands
9 Months Ended 12 Months Ended
Sep. 30, 2021
Dec. 31, 2020
Amount, Outstanding 1,893,201  
Amount, Granted 650,000  
Amount, Outstanding 2,543,201 1,893,201
Weighted-average exercise price, Outstanding $ 6.44  
Weighted-average exercise price, Granted 2.00  
Weighted-average exercise price, Outstanding $ 5.30 $ 6.44
Biostage2013 Equity Incentive Plan [Member] | Stock Options [Member]    
Amount, Outstanding 1,599,720  
Amount, Granted 301,674  
Amount, Canceled (398,212)  
Amount, Outstanding 1,503,182 1,599,720
Amount, Options vested 895,850  
Weighted-average exercise price, Outstanding $ 6.33  
Weighted-average exercise price, Granted 1.49  
Weighted-average exercise price, Canceled 9.20  
Weighted-average exercise price, Outstanding 4.63 $ 6.33
Weighted-average exercise price, Options vested $ 6.21  
Weighted-average contractual life, Outstanding 7 years 4 months 28 days 5 years 9 months 7 days
Weighted-average contractual life, Options Vested 6 years 11 months 19 days  
Outstanding at the beginning (in dollars) $ 0  
Outstanding at the end (in dollars) 876 $ 0
Vested at the end (in dollars) $ 376