Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Search research articles

Related Experiment Videos

Cattaneo models for chemosensitive movement. Numerical solution and pattern formation.

Y Dolak¹, T Hillen

¹TU Wien, Institut für Angewandte und Numerische Mathematik, Wiedner Hauptstr. 8-10, 1040 Vienna, Austria. yasmin.dolak@tuwien.ac.at

Journal of Mathematical Biology

|February 5, 2003

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

A non-local model for cancer stem cells and the tumour growth paradox.

Mathematical medicine and biology : a journal of the IMA·2015

Same author

Birth-jump processes and application to forest fire spotting.

Journal of biological dynamics·2014

Same author

Mathematical modelling of glioma growth: the use of Diffusion Tensor Imaging (DTI) data to predict the anisotropic pathways of cancer invasion.

Journal of theoretical biology·2013

Same author

Pattern formation in prey-taxis systems.

Journal of biological dynamics·2012

Same author

Linear quadratic and tumour control probability modelling in external beam radiotherapy.

Journal of mathematical biology·2008

Same author

A user's guide to PDE models for chemotaxis.

Journal of mathematical biology·2008

Same journal

Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress.

Journal of mathematical biology·2026

Same journal

Intraspecific interactions facilitate mutualism across multilayer networks under weak selection.

Journal of mathematical biology·2026

Same journal

A two-species competition model on a compact metric graph for the invasion and competition of Aedes Aegypti and Aedes Albopictus mosquitoes in Florida.

Journal of mathematical biology·2026

Same journal

Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation.

Journal of mathematical biology·2026

Same journal

Correction to: Superinfection and the hypnozoite reservoir for Plasmodium vivax: a general framework.

Journal of mathematical biology·2026

Same journal

Stoichiometric balance and sustained rhythms.

Journal of mathematical biology·2026

See all related articles

This study models chemosensitive movement using finite-speed heat propagation laws. The research applies these models to bacterial pattern formation, offering testable predictions for Salmonella typhimurium.

Area of Science:

Biophysics
Mathematical Biology
Microbiology

Background:

Chemosensitive movement is crucial for microorganisms.
Classical models often assume infinite speed of response.
Cattaneo's law offers a finite-speed alternative for propagation phenomena.

Purpose of the Study:

To derive and apply models for chemosensitive movement based on Cattaneo's law.
To investigate pattern formation in microbial systems using these models.
To compare Cattaneo-based models with classical approaches.

Main Methods:

Derivation of mathematical models incorporating Cattaneo's law.
Application of models to experimental data of Dictyostelium discoideum, Salmonella typhimurium, and Escherichia coli.

Related Experiment Videos

Development of a numerical scheme for model simulation.

Main Results:

Successful modeling of pattern formation in studied microorganisms.
Generation of testable predictions for Salmonella typhimurium pattern formation.
Comparison of Cattaneo models with classical models, highlighting differences.

Conclusions:

Cattaneo's law provides a viable framework for modeling chemosensitive movement.
The derived models accurately capture observed microbial pattern formation.
The study advances understanding of chemotaxis and microbial collective behaviors.