An Age and Spatially Structured Population Model forProteus MirabilisSwarm-Colony Development

DOI10.1051/mmnp:2008041zbMath1337.92023arXiv0712.3396OpenAlexW2963501629MaRDI QIDQ2786775

Philippe Laurençot, Christoph Walker

Publication date: 23 February 2016

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3396

zbMATH Keywords

degenerate diffusionpopulation modelsage structure

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Nonlinear higher-order PDEs (35G20) Developmental biology, pattern formation (92C15) Physiological, cellular and medical topics (92C99)

Related Items (8)

The Time Singular Limit for a Fourth-Order Damped Wave Equation for MEMS ⋮ An explanatory model to validate the way water activity rules periodic terrace generation in proteus mirabilis swarm ⋮ Structured models of cell migration incorporating molecular binding processes ⋮ Stationary solutions to a nonlocal fourth-order elliptic obstacle problem ⋮ Containment strategies of epidemic invasions ⋮ Some results based on maximal regularity regarding population models with age and spatial structure ⋮ A mathematical model for continuous crystallization ⋮ Proteus mirabilis swarm-colony development with drift

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• Global existence for a degenerate nonlinear diffusion problem with nonlinear gradient term and source
• Kinetic model of Proteus mirabilis swarm colony development
• A structured-population model of Proteus mirabilis swarm-colony development
• Modeling the role of the cell cycle in regulating Proteus mirabilis swarm-colony development
• A Reaction-Diffusion System with Periodic Front Dynamics

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