ArticleBiophysical journal2005
Computational model for cell migration in three-dimensional matrices.
Article in Biophysical journal, 2005. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 96 papers.
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Who cites it
96 citing papers in PubMed.
- Chemical compensation to mechanical loss in cell mechanosensation.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Bridging hemodynamics, tissue mechanics, and pathophysiology in coronary artery disease: A new agent-based model with tetrahedral mesh integration.Journal of biomechanics · 2025Article
- Mechanical deformation and death of circulating tumor cells in the bloodstream.Cancer metastasis reviews · 2024Review
- Comparative analysis of traction forces in normal and glaucomatous trabecular meshwork cells within a 3D, active fluid-structure interaction culture environment.Acta biomaterialia · 2024Article
- Dynamic traction force in trabecular meshwork cells: A 2D culture model for normal and glaucomatous states.Acta biomaterialia · 2024Article
- Cell-based allometry: an approach for evaluation of complexity in morphogenesis.Quantitative biology (Beijing, China) · 2023Article
- Mechanically primed cells transfer memory to fibrous matrices for invasion across environments of distinct stiffness and dimensionality.Molecular biology of the cell · 2023Article
- Reciprocal intra- and extra-cellular polarity enables deep mechanosensing through layered matrices.Cell reports · 2023Article
- Predicting and elucidating the post-printing behavior of 3D printed cancer cells in hydrogel structures by integrating in-vitro and in-silico experiments.Scientific reports · 2023Article
- Mechanical properties, andFrontiers in bioengineering and biotechnology · 2023Article
- Deconstructing the role of myosin contractility in force fluctuations within focal adhesions.Biophysical journal · 2022Article
- Modeling cell protrusion predicts how myosin II and actin turnover affect adhesion-based signaling.Biophysical journal · 2022Article
- Tissue-Wide Effects Override Cell-Intrinsic Gene Function in Radial Neuron Migration.Oxford open neuroscience · 2022Article
- Photocrosslinkable liver extracellular matrix hydrogels for the generation of 3D liver microenvironment models.Scientific reports · 2021Article
- Article
- Computational models of migration modes improve our understanding of metastasis.APL bioengineering · 2020Review
- Computational estimates of mechanical constraints on cell migration through the extracellular matrix.PLoS computational biology · 2020Article
- CompuCell3D Simulations Reproduce Mesenchymal Cell Migration on Flat Substrates.Biophysical journal · 2020Article
- Development of a tunable method to generate various three-dimensional microstructures by replenishing macromolecules such as extracellular matrix components and polysaccharides.Scientific reports · 2020Article
- Tumor cell-organized fibronectin maintenance of a dormant breast cancer population.Science advances · 2020Article
36 more citing papers are in PubMed but not listed here.
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Although computational models for cell migration on two-dimensional (2D) substrata have described how various molecular and cellular properties and physiochemical processes are integrated to accomplish cell locomotion, the same issues, along with certain new ones, might contribute differently to a model for migration within three-dimensional (3D) matrices. To address this more complicated situation, we have developed a computational model for cell migration in 3D matrices using a force-based dynamics approach. This model determines an overall locomotion velocity vector, comprising speed and direction, for individual cells based on internally generated forces transmitted into external traction forces and considering a timescale during which multiple attachment and detachment events are integrated. Key parameters characterize cell and matrix properties, including cell/matrix adhesion and mechanical and steric properties of the matrix; critical underlying molecular properties are incorporated explicitly or implicitly. Model predictions agree well with experimental results for the limiting case of migration on 2D substrata as well as with recent experiments in 3D natural tissues and synthetic gels. Certain predicted features such as biphasic behavior of speed with density of matrix ligands for 3D migration are qualitatively similar to their 2D counterparts, but new effects generally absent in 2D systems, such as effects due to matrix sterics and mechanics, are now predicted to arise in many 3D situations. As one particular sample manifestation of these effects, the optimal levels of cell receptor expression and matrix ligand density yielding maximal migration are dependent on matrix mechanical compliance.
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