ArticleJournal of the Royal Society, Interface2012
Models of collective cell behaviour with crowding effects: comparing lattice-based and lattice-free approaches.
Article in Journal of the Royal Society, Interface, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed.
- Inference and prediction for stochastic models of biological populations undergoing migration and proliferation.Journal of the Royal Society, Interface · 2025Review
- Random walk models in the life sciences: including births, deaths and local interactions.Journal of the Royal Society, Interface · 2025Review
- Cooperation in bioluminescence: understanding the role of autoinducers by a stochastic random resistor model.The European physical journal. E, Soft matter · 2023Article
- Bayesian uncertainty quantification for data-driven equation learning.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
- BIO-LGCA: A cellular automaton modelling class for analysing collective cell migration.PLoS computational biology · 2021Article
- Detection and characterization of chemotaxis without cell tracking.Journal of the Royal Society, Interface · 2021Article
- Identifying density-dependent interactions in collective cell behaviour.Journal of the Royal Society, Interface · 2020Article
- Modelling collective cell migration: neural crest as a model paradigm.Journal of mathematical biology · 2020Article
- Interkinetic nuclear movements promote apical expansion in pseudostratified epithelia at the expense of apicobasal elongation.PLoS computational biology · 2019Article
- Spatial structure arising from chase-escape interactions with crowding.Scientific reports · 2019Article
- Spatial scaling in multiscale models: methods for coupling agent-based and finite-element models of wound healing.Biomechanics and modeling in mechanobiology · 2019Article
- Burst statistics in an early biofilm quorum sensing model: the role of spatial colony-growth heterogeneity.Scientific reports · 2019Article
- Spatiotemporal Dynamics of Insulitis in Human Type 1 Diabetes.Frontiers in physiology · 2016Article
- Simulating Heterogeneous Tumor Cell Populations.PloS one · 2016Article
- Article
- Melanoma Cell Colony Expansion Parameters Revealed by Approximate Bayesian Computation.PLoS computational biology · 2015Article
- The importance of volume exclusion in modelling cellular migration.Journal of mathematical biology · 2015Article
- Spatial moment dynamics for collective cell movement incorporating a neighbour-dependent directional bias.Journal of the Royal Society, Interface · 2015Article
- Integrated PK-PD and agent-based modeling in oncology.Journal of pharmacokinetics and pharmacodynamics · 2015Review
- Interpreting scratch assays using pair density dynamics and approximate Bayesian computation.Open biology · 2014Article
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Individual-based models describing the migration and proliferation of a population of cells frequently restrict the cells to a predefined lattice. An implicit assumption of this type of lattice-based model is that a proliferative population will always eventually fill the lattice. Here, we develop a new lattice-free individual-based model that incorporates cell-to-cell crowding effects. We also derive approximate mean-field descriptions for the lattice-free model in two special cases motivated by commonly used experimental set-ups. Lattice-free simulation results are compared with these mean-field descriptions and with a corresponding lattice-based model. Data from a proliferation experiment are used to estimate the parameters for the new model, including the cell proliferation rate, showing that the model fits the data well. An important aspect of the lattice-free model is that the confluent cell density is not predefined, as with lattice-based models, but an emergent model property. As a consequence of the more realistic, irregular configuration of cells in the lattice-free model, the population growth rate is much slower at high cell densities and the population cannot reach the same confluent density as an equivalent lattice-based model.
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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.