Multitype PCR branching processes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866918419671023616 |
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| author | Chigansky, P. Klebaner, F. Mrksa, M. Sagitov, S. |
| author_facet | Chigansky, P. Klebaner, F. Mrksa, M. Sagitov, S. |
| contents | To model amplification Polymerase Chain Reaction (PCR) techniques targeting DNA sequences of several types, we introduce a multitype PCR branching process as a generalized version of the Michaelis-Menten-based branching process model introduced in Jagers-Klebaner, 2003. We establish two limit theorems extending the results of Chigansky-Jagers-Klebaner, 2018 to the multitype case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29549 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multitype PCR branching processes Chigansky, P. Klebaner, F. Mrksa, M. Sagitov, S. Probability 60J80, 60J85 To model amplification Polymerase Chain Reaction (PCR) techniques targeting DNA sequences of several types, we introduce a multitype PCR branching process as a generalized version of the Michaelis-Menten-based branching process model introduced in Jagers-Klebaner, 2003. We establish two limit theorems extending the results of Chigansky-Jagers-Klebaner, 2018 to the multitype case. |
| title | Multitype PCR branching processes |
| topic | Probability 60J80, 60J85 |
| url | https://arxiv.org/abs/2603.29549 |