ArticleJournal of the Royal Society, Interface2015
Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias.
Article in Journal of the Royal Society, Interface, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 11 papers.
What it found
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Who cites it
11 citing papers in PubMed, 47 citations in OpenAlex.
- Pro-Angiogenic Bioactive Molecules in Vascular Morphogenesis: Integrating Endothelial Cell Dynamics.Current issues in molecular biology · 2025Review
- Random walk models in the life sciences: including births, deaths and local interactions.Journal of the Royal Society, Interface · 2025Review
- Linking discrete and continuous models of cell birth and migration.Royal Society open science · 2024Article
- Cell chirality exhibition of brain microvascular endothelial cells is dependent on micropattern width.RSC advances · 2022Article
- Tracking of Endothelial Cell Migration and Stiffness Measurements Reveal the Role of Cytoskeletal Dynamics.International journal of molecular sciences · 2022Review
- Modelling collective navigation via non-local communication.Journal of the Royal Society, Interface · 2021Article
- Detection and characterization of chemotaxis without cell tracking.Journal of the Royal Society, Interface · 2021Article
- Population dynamics with spatial structure and an Allee effect.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- Spatial structure arising from chase-escape interactions with crowding.Scientific reports · 2019Article
- Identifying the necrotic zone boundary in tumour spheroids with pair-correlation functions.Journal of the Royal Society, Interface · 2016Article
- Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The ability of cells to undergo collective movement plays a fundamental role in tissue repair, development and cancer. Interactions occurring at the level of individual cells may lead to the development of spatial structure which will affect the dynamics of migrating cells at a population level. Models that try to predict population-level behaviour often take a mean-field approach, which assumes that individuals interact with one another in proportion to their average density and ignores the presence of any small-scale spatial structure. In this work, we develop a lattice-free individual-based model (IBM) that uses random walk theory to model the stochastic interactions occurring at the scale of individual migrating cells. We incorporate a mechanism for local directional bias such that an individual's direction of movement is dependent on the degree of cell crowding in its neighbourhood. As an alternative to the mean-field approach, we also employ spatial moment theory to develop a population-level model which accounts for spatial structure and predicts how these individual-level interactions propagate to the scale of the whole population. The IBM is used to derive an equation for dynamics of the second spatial moment (the average density of pairs of cells) which incorporates the neighbour-dependent directional bias, and we solve this numerically for a spatially homogeneous case.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.