Numerical aspects of discrete and continuum hybrid models in cell biology

John C Dallon

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this paper we introduce a method of modeling which mixes continuum and discrete variables, and explain two models in cell biology that use this method. The first application deals with wound healing, more specifically the collagen alignment in scar tissue formation and the second models early aggregation in the cellular slime mold Dictyostelium discoideum. We solve these models using numerical techniques similar to the particle-in-cell method which requires that the discrete and continuum variables are interpolated one to the other. The implementational and numerical details are discussed in an informal and practical manner with particular attention given to the problem of interpolation.

Original languageEnglish
Pages (from-to)137-159
Number of pages23
JournalApplied Numerical Mathematics
Volume32
Issue number2
DOIs
Publication statusPublished - Feb 1999

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