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Intangible assets and goodwill - (Tables) | 9 Months Ended
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Sep. 30, 2023
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of definite lived intangible assets | Definite-lived intangible assets consisted of the following at September 30, 2023 and December 31, 2022:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Reclass from | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Definite-lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | Indefinite Lived to | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | September 30,
intangibles assets, gross |  | ​ | 2022 |  | ​ | Additions |  | ​ | Definite Lived |  | ​ | Impairment |  | ​ | translation |  | ​ | 2023
Emflaza | ​ | $ | 420,253 | ​ | $ | 76,454 | ​ | $ | — | ​ | $ | — | ​ | $ | — | ​ | $ | 496,707
Waylivra | ​ | ​ | 9,316 | ​ | ​ | 157 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (96) | ​ | ​ | 9,377
Tegsedi | ​ | ​ | 7,109 | ​ | ​ | 4,299 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (183) | ​ | ​ | 11,225
Upstaza | ​ | ​ | 89,550 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | — | ​ | ​ | 89,550
Total definite-lived intangibles, gross | ​ | $ | 526,228 | ​ | $ | 80,910 | ​ | $ | — | ​ | $ | — | ​ | $ | (279) | ​ | $ | 606,859
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Definite-lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | September 30,
intangibles assets, accumulated amortization |  | ​ | 2022 |  | ​ | Amortization |  | ​ | translation |  | ​ | 2023
Emflaza | ​ | $ | (266,023) | ​ | $ | (138,038) | ​ | $ | — | ​ | $ | (404,061)
Waylivra | ​ | ​ | (2,751) | ​ | ​ | (791) | ​ | ​ | 45 | ​ | ​ | (3,497)
Tegsedi | ​ | ​ | (1,709) | ​ | ​ | (1,035) | ​ | ​ | 36 | ​ | ​ | (2,708)
Upstaza | ​ | ​ | (3,420) | ​ | ​ | (5,597) | ​ | ​ | — | ​ | ​ | (9,017)
Total definite-lived intangibles, accumulated amortization | ​ | $ | (273,903) | ​ | $ | (145,461) | ​ | $ | 81 | ​ | $ | (419,283)
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Total definite-lived intangibles, net | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | $ | 187,576
​
Schedule of estimated future amortization of intangible assets | ​
​ | ​ | ​ | ​
​ |  | As of September 30, 2023
2023 | ​ | $ | 58,640
2024 | ​ |  | 46,557
2025 | ​ |  | 10,041
2026 | ​ |  | 10,041
2027 and thereafter | ​ |  | 62,297
Total | ​ | $ | 187,576
Schedule of indefinite lived intangible assets | Indefinite-lived intangible assets consisted of the following at September 30, 2023 and December 31, 2022:
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | Ending Balance at | ​ | ​ | ​ | ​ | ​ | Reclass from | ​ | ​ | ​ | ​ | ​ | Foreign | ​ | ​ | Ending Balance at
Indefinite-lived | ​ | ​ | December 31, | ​ | ​ | ​ | ​ | ​ | Indefinite Lived to | ​ | ​ | ​ | ​ | ​ | currency | ​ | ​ | September 30,
intangibles assets |  | ​ | 2022 |  | ​ | Additions |  | ​ | Definite Lived |  | ​ | Impairment |  | ​ | translation |  | ​ | 2023
Upstaza | ​ | $ | 235,766 | ​ | $ | — | ​ | $ | — | ​ | $ | — | ​ | $ | — | ​ | $ | 235,766
PTC-FA | ​ | ​ | 112,500 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (112,500) | ​ | ​ | — | ​ | ​ | —
PTC-AS | ​ | ​ | 105,300 | ​ | ​ | — | ​ | ​ | — | ​ | ​ | (105,300) | ​ | ​ | — | ​ | ​ | —
Total indefinite-lived intangibles | ​ | $ | 453,566 | ​ | $ | — | ​ | $ | — | ​ | $ | (217,800) | ​ | $ | — | ​ | $ | 235,766
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Total intangible assets, net | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | $ | 423,342
​

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