On the existence of a travelling wave solution for a model of actin-based bacterial movement

DOI10.1016/j.jmaa.2010.07.015zbMath1204.35066OpenAlexW2030371359MaRDI QIDQ994313

Stefania Melillo, Eugenio Montefusco

Publication date: 17 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.015

zbMATH Keywords

one-dimensional modeltraveling waveODEactin-based motiontwo moving boundaries

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Physiological, cellular and medical topics (92C99) Traveling wave solutions (35C07)

Related Items (2)

Stability and travelling waves for a time-delayed population system with stage structure ⋮ Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes

Cites Work

• PDE models for chemotactic movements: parabolic, hyperbolic and kinetic.
• One-dimensional free boundary problem for actin-based propulsion of Listeria
• Mathematical physiology. II: Systems physiology
• Models for actin polymerization motors
• A user's guide to PDE models for chemotaxis
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Mathematical physiology. I: Cellular physiology
• A Mathematical Model for the Sulphur Dioxide Aggression to Calcium Carbonate Stones: Numerical Approximation and Asymptotic Analysis
• A MATHEMATICAL MODEL FOR TUMOR CORDS INCORPORATING THE FLOW OF INTERSTITIAL FLUID

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