ArticlePLoS computational biology2019
From energy to cellular forces in the Cellular Potts Model: An algorithmic approach.
Article in PLoS computational biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 28 papers.
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Who cites it
28 citing papers in PubMed.
- Organoid Intelligent Morphomics: Decoding the organoid morphome through artificial intelligence from phenotypic quantification to mechanistic insight.Bioactive materials · 2027Review
- Contributions of single-cell mechanics and cell-cell adhesion to multicellular spheroid mechanics.bioRxiv : the preprint server for biology · 2026Article
- Signal control during tissue regeneration in adult animals.Nature reviews. Molecular cell biology · 2026Review
- BIOPOINT: A particle-based model for probing nuclear mechanics and cell-ECM interactions via experimentally derived parameters.PLoS computational biology · 2026Article
- Physical traits of supercompetitors in cell competition.Journal of the Royal Society, Interface · 2025Article
- A multiscale theory for mesenchymal cell migration in straight or curved channel confinement.Biophysical journal · 2025Article
- Beyond boundaries a hybrid cellular potts and particle swarm optimization model for energy and latency optimization in edge computing.Scientific reports · 2025Article
- Inferring active and passive mechanical drivers of epithelial convergent extension.bioRxiv : the preprint server for biology · 2025Article
- Linking discrete and continuous models of cell birth and migration.Royal Society open science · 2024Article
- CellularPotts.jl: simulating multiscale cellular models in Julia.Bioinformatics (Oxford, England) · 2024Article
- Hybrid cellular Potts and bead-spring modeling of cells in fibrous extracellular matrix.Biophysical journal · 2023Article
- Multiscale Modeling of Spheroid Tumors: Effect of Nutrient Availability on Tumor Evolution.The journal of physical chemistry. B · 2023Article
- Polarity and mixed-mode oscillations may underlie different patterns of cellular migration.Scientific reports · 2023Article
- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- Biophysical models of early mammalian embryogenesis.Stem cell reports · 2023Review
- A multiscale whole-cell theory for mechanosensitive migration on viscoelastic substrates.Biophysical journal · 2023Article
- Mathematical model for promotion of wound closure with ATP release.Biophysics and physicobiology · 2023Article
- Computational modelling of cell motility modes emerging from cell-matrix adhesion dynamics.PLoS computational biology · 2022Article
- A Review of Mathematical and Computational Methods in Cancer Dynamics.Frontiers in oncology · 2022Review
- Density-Dependent Migration Characteristics of Cancer Cells Driven by Pseudopod Interaction.Frontiers in cell and developmental biology · 2022Article
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2 authors.
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Abstract
Single and collective cell dynamics, cell shape changes, and cell migration can be conveniently represented by the Cellular Potts Model, a computational platform based on minimization of a Hamiltonian. Using the fact that a force field is easily derived from a scalar energy (F = -∇H), we develop a simple algorithm to associate effective forces with cell shapes in the CPM. We predict the traction forces exerted by single cells of various shapes and sizes on a 2D substrate. While CPM forces are specified directly from the Hamiltonian on the cell perimeter, we approximate the force field inside the cell domain using interpolation, and refine the results with smoothing. Predicted forces compare favorably with experimentally measured cellular traction forces. We show that a CPM model with internal signaling (such as Rho-GTPase-related contractility) can be associated with retraction-protrusion forces that accompany cell shape changes and migration. We adapt the computations to multicellular systems, showing, for example, the forces that a pair of swirling cells exert on one another, demonstrating that our algorithm works equally well for interacting cells. Finally, we show forces exerted by cells on one another in classic cell-sorting experiments.
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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.