Model for chemotactic bacterial bands

DOI10.1007/BF02460059zbMath0582.92012OpenAlexW2036883531WikidataQ52653131 ScholiaQ52653131MaRDI QIDQ1069874

Brigitte Herpigny, Jean Pierre Boon

Publication date: 1986

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460059

zbMATH Keywords

biochemistryband formationband migrationspatial and temporal evolution of bacterial bandsSuspensions of chemotactic bacteria

Mathematics Subject Classification ID

Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (9)

Global large-data generalized solutions in a chemotactic movement with rotational flux caused by two stimuli ⋮ Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species ⋮ Instability in a generalized Keller–Segel model ⋮ COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS ⋮ Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations ⋮ Keller-Segel chemotaxis models: a review ⋮ A user's guide to PDE models for chemotaxis ⋮ Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients ⋮ Chemotaxis and chemokinesis in eukaryotic cells: The Keller-Segel equations as an approximation to a detailed model

Cites Work

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• Initiation of slime mold aggregation viewed as an instability
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Propagation theory for tactic bacteria: Addendum
• Nonlinear aspects of chemotaxis
• On the stability of steadily propagating bands of chemotactic bacteria
• Boundary movement of chemotactic bacterial populations
• On the role of constant-stress surfaces in the problem of minimizing elastic stress concentration
• On the propagation theory for bands of chemotactic bacteria

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