A stochastic model of mutant growth
type: Item
instance of: scholarly article
title: A stochastic model of mutant growth
zbMATH Open document ID: 0607.92004
DOI: 10.1007/BF00275891
published in: Journal of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: Starting point for the present considerations is the model by \textit{Hiep Nguyen Duc}, Math. Biosci. 74, 23-35 (1985; Zbl 0569.92004), who considered a tumor cell system consisting of a population of normal stem cells \(M_ n(t)\), of mutant stem cells X(t), and of mutant end cells, the total number of mutant cells being denoted by Y(t). Here the assumption was that stem cells (mutant or not) would divide with an intensity b into two new stem cells and with intensity d into two end cells. Further each division of a normal cell could with a certain probability yield a mutated cell. We shall see that it is possible to find all joint moments of X(t) and Y(t) without specifying \(M_ n(t)\) and without solving for the joint probability generating function.
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60J85
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 3982968
zbMATH Keywords: stochastic model of mutant growth
zbMATH Keywords: birth and death process
zbMATH Keywords: tumor cell system
zbMATH Keywords: normal stem cells
zbMATH Keywords: mutant stem cells
zbMATH Keywords: mutant end cells
zbMATH Keywords: joint moments
Wikidata QID: Q69028293
author: Wolfgang J. Bühler
MaRDI profile type: Publication
cites work: Q5332626
cites work: A stochastic model of mutant growth due to mutation in tumors, based on stem cell considerations
full work available at URL: https://doi.org/10.1007/bf00275891
OpenAlex ID: W2060125359
description: scientific article; zbMATH DE number 3982968