On the existence of a travelling wave solution for a model of actin-based bacterial movement
type: Item
instance of: scholarly article
title: On the existence of a travelling wave solution for a model of actin-based bacterial movement
zbMATH Open document ID: 1204.35066
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-09-17T00:00:00Z
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 92C99
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 5787098
zbMATH Keywords: traveling wave
zbMATH Keywords: actin-based motion
zbMATH Keywords: ODE
zbMATH Keywords: one-dimensional model
zbMATH Keywords: two moving boundaries
author: Stefania Melillo
author: Eugenio Montefusco
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.07.015
OpenAlex ID: W2030371359
cites work: A Mathematical Model for the Sulphur Dioxide Aggression to Calcium Carbonate Stones: Numerical Approximation and Asymptotic Analysis
cites work: One-dimensional free boundary problem for actin-based propulsion of Listeria
cites work: A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID
cites work: Models for actin polymerization motors
cites work: A user's guide to PDE models for chemotaxis
cites work: Mathematical physiology. I: Cellular physiology
cites work: Mathematical physiology. II: Systems physiology
cites work: Mathematical biology. Vol. 1: An introduction.
cites work: Mathematical biology. Vol. 2: Spatial models and biomedical applications.
cites work: PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
DOI: 10.1016/J.JMAA.2010.07.015
Recommended article: Traveling wave solutions for a bacteria system with density-suppressed motility
Recommended article: Traveling wave solutions of a nonlinear reaction-diffusion-chemotaxis model for bacterial pattern formation
Recommended article: Q4648978
Recommended article: Existence of traveling wave solutions for a one-dimensional cell motility model
Recommended article: On traveling wave fronts in a bacterial growth model with density-dependent diffusion and chemotaxis
Recommended article: Multiple travelling-wave solutions in a minimal model for cell motility
Recommended article: Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
Recommended article: Traveling wave solutions to the density-suppressed motility model
Recommended article: Finite traveling wave solutions in a degenerate cross-diffusion model for bacterial colony
Recommended article: Emergence of traveling waves and their stability in a free boundary model of cell motility
description: scientific article; zbMATH DE number 5787098