Some mathematical aspects of modelling cell population dynamics

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The purpose of this paper is to discuss different types of models of cell population dynamics based on differential equations and to point out the connection between them. From the starting point of the McKendrick/Von Foerster type model we derive Lotka-Volterra type integral equations, and some delaying-differential equations. We establish a connection between the original partial differential equation model and the Takahashi ordinary differential equations model, based on compartmental analysis, by means of a numerical procedure named "the method of lines".

Original languageEnglish
Pages (from-to)127-138
Number of pages12
JournalComputers and Mathematics with Applications
Volume20
Issue number4-6
DOIs
Publication statusPublished - 1990

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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