Poisson convergence on continuous time branching random walks and multistage carcinogenesis.

6533b860fe1ef96bd12c3ad1

RESEARCH PRODUCT

Poisson convergence on continuous time branching random walks and multistage carcinogenesis.

subject

Multistage carcinogenesis Time Factors Markov chain Applied Mathematics Poisson distribution Random walk Agricultural and Biological Sciences (miscellaneous)Models Biological Combinatorics Branching (linguistics)symbols.namesake Cell Transformation Neoplastic Branching random walk Modeling and Simulation Neoplasms Convergence (routing)symbols Applied mathematics Animals Humans Mathematics Mathematics Branching process

description

A theorem for Poisson convergence on realizations of two-dimensional Branching Random Walks with an underlying continuous time Markov Branching Process is proved. This result can be used to gain an approximation for the number of cells having sustained a certain deficiency after a long time in multistage carcinogenesis.

year	journal	country	edition	language
1982-07-01	Journal of mathematical biology

10.1007/bf00275395 https://pubmed.ncbi.nlm.nih.gov/7119588

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