Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis

DOI10.1007/BF02460053zbMath0505.92025OpenAlexW4238505813MaRDI QIDQ1836622

Gerald Rosen

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf02460053

zbMATH Keywords

bacterial chemotaxisEscherichia colifirst-order spatial gradientsflux coefficient-motility ratioSchrödinger-Bloch equation

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Other natural sciences (mathematical treatment) (92F05) Physiological, cellular and medical topics (92Cxx)

Related Items (11)

Steadily propagating waves of a chemotaxis model ⋮ Nonlinear stability of strong traveling waves for a chemotaxis model with logarithmic sensitivity and periodic perturbations ⋮ Traveling wave solutions of a singular Keller-Segel system with logistic source ⋮ Development of traveling waves in an interacting two-species chemotaxis model ⋮ Reaction, diffusion and chemotaxis in wave propagation ⋮ Exact traveling wave solutions of one-dimensional parabolic-parabolic models of chemotaxis ⋮ Nonlinear stability of strong traveling waves for the singular Keller-Segel system with large perturbations ⋮ Overview of mathematical approaches used to model bacterial chemotaxis. II: Bacterial popu\-lations ⋮ Nonlinear stability of planar traveling waves in a chemotaxis model of tumor angiogenesis with chemical diffusion ⋮ Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis ⋮ Analytical solutions for distributions of chemotactic bacteria

Cites Work

• Traveling bands of chemotactic bacteria in the context of population growth
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Steady-state distribution of bacteria chemotactic toward oxygen
• Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis
• Elliptic boundary value problems suggested by nonlinear diffusion processes

This page was built for publication: Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis