A discrete non-linear Markov model for a population of interacting cells

A. Gerardi and M. Romiti

Stochastic Processes and their Applications, 1991, vol. 37, issue 1, 33-43

Abstract: The goal of this paper is a construction of a discrete mathematical model for the evolution of a population of cells, classified by their DNA content. In order to take into account 'crowding effects', the growth is modelled as a pure jump non-linear Markov process. Existence and uniqueness of solutions for the corresponding martingale problem are proved by means of fixed point techniques.

Date: 1991
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