A nonlinear treatment of the protocell model by a boundary layer approximation
type: Item
instance of: scholarly article
title: A nonlinear treatment of the protocell model by a boundary layer approximation
zbMATH Open document ID: 0613.92002
DOI: 10.1007/BF02460122
author: Kazuaki Tarumi
author: Helmut Schwegler
published in: Bulletin of Mathematical Biology
publication date: 1987-01-01T00:00:00Z
review text: The ''protocell'' is a mathematical model of a self-maintaining unity based on the dynamics of simple reaction-diffusion processes and a self- controlled dynamics of the surface. In this paper its spatio-temporal behaviour far from the stationary structure is investigated by means of a boundary layer approximation. It is shown in detail how a simplified and mathematically feasible equation can be derived from the original parabolic problem. It turns out that the known instability which is initiated in the linear region around the stationary structure is continued further in the direction to a division by nonlinear dynamics.
Mathematics Subject Classification ID: 92B05
Mathematics Subject Classification ID: 92F05
zbMATH DE Number: 3993345
zbMATH Keywords: self-maintaining system
zbMATH Keywords: protocell
zbMATH Keywords: reaction-diffusion processes
zbMATH Keywords: self- controlled dynamics
zbMATH Keywords: spatio-temporal behaviour
zbMATH Keywords: boundary layer approximation
zbMATH Keywords: stationary structure
zbMATH Keywords: nonlinear dynamics
Wikidata QID: Q43697898
MaRDI profile type: Publication
cites work: Physico-chemical model of a protocell
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
full work available at URL: https://doi.org/10.1007/bf02460122
OpenAlex ID: W4244237986
description: scientific article; zbMATH DE number 3993345