ArticleJournal of computational physics2010
The Moving Boundary Node Method: A level set-based, finite volume algorithm with applications to cell motility.
Article in Journal of computational physics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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Who cites it
29 citing papers in PubMed, 55 citations in OpenAlex.
- PIP5K-Ras bistability triggers plasma membrane symmetry breaking to define cellular polarity and regulate migration.bioRxiv : the preprint server for biology · 2025Article
- Pseudopod Tracking and Statistics During Cell Movement in Buffer and Chemotaxis.Methods in molecular biology (Clifton, N.J.) · 2024Article
- Three-component contour dynamics model to simulate and analyze amoeboid cell motility in two dimensions.PloS one · 2024Article
- A Hands-on Guide to AmoePy - a Python-Based Software Package to Analyze Cell Migration Data.Methods in molecular biology (Clifton, N.J.) · 2024Article
- A mesoscale mechanical model of cellular interactions.Biophysical journal · 2021Article
- Analysis of protrusion dynamics in amoeboid cell motility by means of regularized contour flows.PLoS computational biology · 2021Article
- Quantifying the roles of space and stochasticity in computer simulations for cell biology and cellular biochemistry.Molecular biology of the cell · 2021Article
- Tools for computational analysis of moving boundary problems in cellular mechanobiology.Wiley interdisciplinary reviews. Systems biology and medicine · 2020Review
- Membrane Tension Can Enhance Adaptation to Maintain Polarity of Migrating Cells.Biophysical journal · 2020Article
- Active random forces can drive differential cellular positioning and enhance motor-driven transport.Molecular biology of the cell · 2020Article
- A minimal mechanosensing model predicts keratocyte evolution on flexible substrates.Journal of the Royal Society, Interface · 2020Article
- Swimming bacteria power microspin cycles.Science advances · 2018Article
- Epithelial vertex models with active biochemical regulation of contractility can explain organized collective cell motility.APL bioengineering · 2018Article
- Going with the Flow: Water Flux and Cell Shape during Cytokinesis.Biophysical journal · 2017Article
- Mechanisms of Cell Polarization.Current opinion in systems biology · 2017Article
- New Continuum Approaches for Determining Protein-Induced Membrane Deformations.Biophysical journal · 2017Article
- Physical Mechanisms of Cancer in the Transition to Metastasis.Biophysical journal · 2016Article
- Continuum descriptions of membranes and their interaction with proteins: Towards chemically accurate models.Biochimica et biophysica acta · 2016Review
- A computational method for the coupled solution of reaction-diffusion equations on evolving domains and manifolds: Application to a model of cell migration and chemotaxis.Journal of computational physics · 2016Article
- A conservative algorithm for parabolic problems in domains with moving boundaries.Journal of computational physics · 2014Article
Corrections and comments
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Authors and funding
2 authors at 2 institutions in 1 country.
Funding
Abstract
Eukaryotic cell crawling is a highly complex biophysical and biochemical process, where deformation and motion of a cell are driven by internal, biochemical regulation of a poroelastic cytoskeleton. One challenge to building quantitative models that describe crawling cells is solving the reaction-diffusion-advection dynamics for the biochemical and cytoskeletal components of the cell inside its moving and deforming geometry. Here we develop an algorithm that uses the level set method to move the cell boundary and uses information stored in the distance map to construct a finite volume representation of the cell. Our method preserves Cartesian connectivity of nodes in the finite volume representation while resolving the distorted cell geometry. Derivatives approximated using a Taylor series expansion at finite volume interfaces lead to second order accuracy even on highly distorted quadrilateral elements. A modified, Laplacian-based interpolation scheme is developed that conserves mass while interpolating values onto nodes that join the cell interior as the boundary moves. An implicit time-stepping algorithm is used to maintain stability. We use the algoirthm to simulate two simple models for cellular crawling. The first model uses depolymerization of the cytoskeleton to drive cell motility and suggests that the shape of a steady crawling cell is strongly dependent on the adhesion between the cell and the substrate. In the second model, we use a model for chemical signalling during chemotaxis to determine the shape of a crawling cell in a constant gradient and to show cellular response upon gradient reversal.
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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.