ArticlePloS one2012
Multi-scale modeling in morphogenesis: a critical analysis of the cellular Potts model.
Article in PloS one, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
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Who cites it
25 citing papers in PubMed.
- Biophysical Modeling Reveals How Gene Expression Drives Tissue-Scale Fat Deposition in Beef Breeds.Biology · 2026Article
- Bidirectionally validatedFrontiers in bioengineering and biotechnology · 2024Article
- FromFrontiers in molecular biosciences · 2024Article
- Biophysical models of early mammalian embryogenesis.Stem cell reports · 2023Review
- Shaping the Organ: A Biologist Guide to Quantitative Models of Plant Morphogenesis.Frontiers in plant science · 2021Review
- Agent-Based Modeling and Simulation in Mathematics and Biology Education.Bulletin of mathematical biology · 2020Article
- Mechanisms of endothelial cell coverage by pericytes: computational modelling of cell wrapping andJournal of the Royal Society, Interface · 2020Article
- Agent-based modeling of morphogenetic systems: Advantages and challenges.PLoS computational biology · 2019Review
- A Review of Cell-Based Computational Modeling in Cancer Biology.JCO clinical cancer informatics · 2019Review
- Cellular Response to Surface Morphology: Electrospinning and Computational Modeling.Frontiers in bioengineering and biotechnology · 2018Review
- A dynamically diluted alignment model reveals the impact of cell turnover on the plasticity of tissue polarity patterns.Journal of the Royal Society, Interface · 2017Article
- Modeling de novo granulation of anaerobic sludge.BMC systems biology · 2017Article
- Physical models of collective cell motility: from cell to tissue.Journal of physics D: Applied physics · 2017Article
- In silico modeling for tumor growth visualization.BMC systems biology · 2016Article
- A cell-centered, agent-based framework that enables flexible environment granularities.Theoretical biology & medical modelling · 2016Article
- Simulating Heterogeneous Tumor Cell Populations.PloS one · 2016Article
- An Observation-Driven Agent-Based Modeling and Analysis Framework for C. elegans Embryogenesis.PloS one · 2016Article
- Multiscale Model of Colorectal Cancer Using the Cellular Potts Framework.Cancer informatics · 2015Article
- A kinetic mechanism for cell sorting based on local variations in cell motility.Interface focus · 2014Article
- Biocellion: accelerating computer simulation of multicellular biological system models.Bioinformatics (Oxford, England) · 2014Article
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Abstract
Cellular Potts models (CPMs) are used as a modeling framework to elucidate mechanisms of biological development. They allow a spatial resolution below the cellular scale and are applied particularly when problems are studied where multiple spatial and temporal scales are involved. Despite the increasing usage of CPMs in theoretical biology, this model class has received little attention from mathematical theory. To narrow this gap, the CPMs are subjected to a theoretical study here. It is asked to which extent the updating rules establish an appropriate dynamical model of intercellular interactions and what the principal behavior at different time scales characterizes. It is shown that the longtime behavior of a CPM is degenerate in the sense that the cells consecutively die out, independent of the specific interdependence structure that characterizes the model. While CPMs are naturally defined on finite, spatially bounded lattices, possible extensions to spatially unbounded systems are explored to assess to which extent spatio-temporal limit procedures can be applied to describe the emergent behavior at the tissue scale. To elucidate the mechanistic structure of CPMs, the model class is integrated into a general multiscale framework. It is shown that the central role of the surface fluctuations, which subsume several cellular and intercellular factors, entails substantial limitations for a CPM's exploitation both as a mechanistic and as a phenomenological 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.