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Intangible assets and goodwill - (Tables) | 12 Months Ended
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Dec. 31, 2022
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of definite lived intangible assets | Definite lived intangible assets consisted of the following at December 31, 2022 and 2021:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Reclass from | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Definite lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | Indefinite Lived to | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | December 31,
intangibles assets, gross |  | ​ | 2021 |  | ​ | Additions |  | ​ | Definite Lived |  | ​ | Impairment |  | ​ | translation |  | ​ | 2022
Emflaza | ​ | $ | 291,875 | ​ | $ | 128,378 | ​ | $ | — | ​ | $ | — | ​ | $ | — | ​ | $ | 420,253
Waylivra | ​ | ​ | 9,904 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (588) | ​ | ​ | 9,316
Tegsedi | ​ | ​ | 4,060 | ​ | ​ | 3,240 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (191) | ​ | ​ | 7,109
Upstaza | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 89,550 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 89,550
Total definite lived intangibles, gross | ​ | $ | 305,839 | ​ | $ | 131,618 | ​ | $ | 89,550 | ​ | $ | — | ​ | $ | (779) | ​ | $ | 526,228
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Definite lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | December 31,
intangibles assets, accumulated amortization |  | ​ | 2021 |  | ​ | Amortization |  | ​ | translation |  | ​ | 2022
Emflaza | ​ | $ | (154,594) | ​ | $ | (111,429) | ​ | $ | — | ​ | $ | (266,023)
Waylivra | ​ | ​ | (1,821) | ​ | ​ | (1,020) | ​ | ​ | 90 | ​ | ​ | (2,751)
Tegsedi | ​ | ​ | (1,083) | ​ | ​ | (685) | ​ | ​ | 59 | ​ | ​ | (1,709)
Upstaza | ​ | ​ | — | ​ | ​ | (3,420) | ​ | ​ | — | ​ | ​ | (3,420)
Total definite lived intangibles, accumulated amortization | ​ | $ | (157,498) | ​ | $ | (116,554) | ​ | $ | 149 | ​ | $ | (273,903)
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Total definite lived intangibles, net | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | $ | 252,325
​
Schedule of estimated future amortization of intangible assets | The estimated future amortization of the Emflaza rights, Waylivra, Tegsedi, and Upstaza intangible assets is expected to be as follows: ​
​ | ​ | ​ | ​
​ |  | As of December 31, 2022
2023 | ​ | $ | 142,324
2024 | ​ |  | 30,609
2025 | ​ |  | 9,352
2026 | ​ |  | 9,352
2027 and thereafter | ​ |  | 60,688
Total | ​ | $ | 252,325
​
Schedule of indefinite lived intangible assets | Indefinite lived intangible assets consisted of the following at December 31, 2022 and 2021: ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Reclass from | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Indefinite lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | Indefinite Lived to | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | December 31,
intangibles assets |  | ​ | 2021 |  | ​ | Additions |  | ​ | Definite Lived |  | ​ | Impairment |  | ​ | translation |  | ​ | 2022
Upstaza | ​ | $ | 358,700 | ​ | $ | — | ​ | $ | (89,550) | ​ | $ | (33,384) | ​ | $ | — | ​ | $ | 235,766
PTC-FA | ​ | ​ | 112,500 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 112,500
PTC-AS | ​ | ​ | 105,300 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 105,300
Total indefinite lived intangibles | ​ | $ | 576,500 | ​ | $ | — | ​ | $ | (89,550) | ​ | $ | (33,384) | ​ | $ | — | ​ | $ | 453,566
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Total intangible assets, net | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | $ | 705,891
​

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