English

Multitype PCR branching processes

Probability 2026-04-01 v1

Abstract

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.

Cite

@article{arxiv.2603.29549,
  title  = {Multitype PCR branching processes},
  author = {P. Chigansky and F. Klebaner and M. Mrksa and S. Sagitov},
  journal= {arXiv preprint arXiv:2603.29549},
  year   = {2026}
}
R2 v1 2026-07-01T11:45:56.048Z