Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Steady-state spatial patterns in a cell-chemotaxis model.

P Grindrod1, J D Murray, S Sinha

  • 1Centre for Mathematical Biology, Mathematical Institute, Oxford, UK.

IMA Journal of Mathematics Applied in Medicine and Biology
|January 1, 1989
PubMed
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

Effectiveness of early vocational rehabilitation versus usual care to support RETurn to work after stroKE: A pragmatic, parallel-arm multicenter, randomized controlled trial.

International journal of stroke : official journal of the International Stroke Society·2024
Same author

Percentage grade 4 tumour predicts outcome for prostate adenocarcinoma in needle biopsies from patients with advanced disease: 10-year data from the TROG 03.04 RADAR trial.

Pathology·2021
Same author

Legumes display common and host-specific responses to the rhizobial cellulase CelC2 during primary symbiotic infection.

Scientific reports·2019
Same author

Variation in MUTYH expression in Arabian horses with Cerebellar Abiotrophy.

Brain research·2017
Same author

Identification of long non-coding RNA in the horse transcriptome.

BMC genomics·2017
Same author

On strongly connected networks with excitable-refractory dynamics and delayed coupling.

Royal Society open science·2017

This study explores a cell-chemotaxis model to understand how spatial patterns form in cell aggregations. Varying cell numbers reveals bifurcations leading to complex, non-uniform cell distributions and periodic structures.

Area of Science:

  • Mathematical biology
  • Biophysics
  • Pattern formation

Background:

  • Cellular movement and aggregation are fundamental biological processes.
  • Chemotaxis, directed cell movement in response to chemical gradients, drives pattern formation.
  • Understanding the mathematical basis of these patterns is crucial for developmental biology and disease modeling.

Purpose of the Study:

  • To investigate a simple cell-chemotaxis model for generating spatial patterns in cell aggregations.
  • To analyze bifurcations of spatially heterogeneous patterns from uniform equilibria.
  • To explore the existence of periodic spatially structured solutions in an infinite domain.

Main Methods:

  • Mathematical modeling of cell-chemotaxis.
  • Analysis of local and global bifurcations.

Related Experiment Videos

  • Investigation of boundary-value problems.
  • Study of solutions in an infinite domain.

    • Main Results:

    • Demonstration of pattern generation in cell aggregations via a simple chemotaxis model.
    • Identification of bifurcations leading to spatially heterogeneous patterns as cell numbers vary.
    • Evidence for periodic spatially structured solutions for cells and chemoattractant.

    Conclusions:

    • The cell-chemotaxis model effectively explains the emergence of spatial patterns.
    • Bifurcation analysis provides insights into pattern transitions.
    • Periodic solutions highlight the potential for complex spatial organization in biological systems.