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

Random walk models in biology.

Edward A Codling1, Michael J Plank, Simon Benhamou

  • 1Department of Mathematics, University of Essex, Colchester CO4 3SQ, UK. ecodling@essex.ac.uk

Journal of the Royal Society, Interface
|April 23, 2008
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

Modelling the transmission and impact of Omicron variants of Covid-19 in different ethnicity groups in Aotearoa New Zealand.

Epidemics·2026
Same author

Continuum models describing probabilistic motion of tagged agents in exclusion processes.

Physical review. E·2026
Same author

Estimating excess mortality during the COVID-19 pandemic in Aotearoa New Zealand: addendum.

International journal of epidemiology·2026
Same author

Infectious disease outbreak controllability: biological, social and public health factors.

Proceedings. Biological sciences·2026
Same author

Inference and prediction for stochastic models of biological populations undergoing migration and proliferation.

Journal of the Royal Society, Interface·2025
Same author

Editorial: Using methods and approaches from behavioral ecology to address issues in applied animal sciences.

Frontiers in veterinary science·2025
Same journal

RNA-ligand complexes and the attenuation of neutral confinement in the evolution of RNA secondary structures.

Journal of the Royal Society, Interface·2026
Same journal

Individual detachment-reintegration events in homing pigeon flocks and the dominance of directional adjustment in their kinematic features.

Journal of the Royal Society, Interface·2026
Same journal

Thermal stress disrupts symbiotic fluid dynamics in bobtail squid.

Journal of the Royal Society, Interface·2026
Same journal

Distinct geometrical landscapes distinguish between modes of tristability in gene regulatory networks.

Journal of the Royal Society, Interface·2026
Same journal

Slow modulation of the contraction patterns in Physarum polycephalum.

Journal of the Royal Society, Interface·2026
Same journal

Moo-ving mountains: grazing agents drive terracette formation on steep hillslopes.

Journal of the Royal Society, Interface·2026
See all related articles

This review explains random walk models, widely used in biology and medicine. These mathematical tools help understand animal and cell movement, aiding research in ecology and disease.

Area of Science:

  • Mathematical Biology
  • Computational Ecology
  • Biophysics

Background:

  • Mathematical modeling of movement is crucial in biology, ecology, and medicine.
  • Random walk processes are the most common basis for these movement models.

Purpose of the Study:

  • To provide a straightforward introduction to the mathematics of random walks.
  • To explain the application of random walk models in understanding biological processes.

Main Methods:

  • Introduction to simple random walk theory and its relation to Brownian motion.
  • Extensions of random walks including drift, waiting times, and biased movement.
  • Application of hyperbolic models for correlated random walks.

Main Results:

Related Experiment Videos

  • Review of random walk models for animal and microorganism movement, dispersal, and population redistribution.
  • Analysis of cell migration and chemotaxis models, including hyperbolic models and reinforced random walks.
  • Discussion of applications in angiogenesis and cell movement.

Conclusions:

  • Random walk models offer versatile frameworks for studying biological movement.
  • Understanding the mathematical underpinnings of random walks enhances their application in diverse biological fields.
  • Connections between various random walk models and their underlying processes are highlighted.