ArticleBiomechanics and modeling in mechanobiology2018
A phenomenological model for cell and nucleus deformation during cancer metastasis.
Article in Biomechanics and modeling in mechanobiology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed, 34 citations in OpenAlex.
- A Mathematical Model for Chemo-Mechanically Induced Collective Cell Motility on Planar Elastic Substrates.International journal for numerical methods in biomedical engineering · 2026Article
- Effects of Intracellular Force Localization on Cancer Cell Invasion: Revealing Mechanical Trade-offs through Experimentally Validated Computational Models.ACS biomaterials science & engineering · 2026Article
- Article
- Mechanical deformation and death of circulating tumor cells in the bloodstream.Cancer metastasis reviews · 2024Review
- The Influence of Nucleus Mechanics in Modelling Adhesion-independent Cell Migration in Structured and Confined Environments.Bulletin of mathematical biology · 2023Article
- Quantitative modeling identifies critical cell mechanics driving bile duct lumen formation.PLoS computational biology · 2022Article
- A formalism for modelling traction forces and cell shape evolution during cell migration in various biomedical processes.Biomechanics and modeling in mechanobiology · 2021Article
- Micropatterned Surfaces Expose the Coupling between Actin Cytoskeleton-Lamin/Nesprin and Nuclear Deformability of Breast Cancer Cells with Different Malignancies.Advanced biology · 2021Article
- Computational models of migration modes improve our understanding of metastasis.APL bioengineering · 2020Review
- A Cellular Automata Model of Oncolytic Virotherapy in Pancreatic Cancer.Bulletin of mathematical biology · 2020Article
- Computational modeling of therapy on pancreatic cancer in its early stages.Biomechanics and modeling in mechanobiology · 2020Article
- A quantitative high-resolution computational mechanics cell model for growing and regenerating tissues.Biomechanics and modeling in mechanobiology · 2020Article
- Modelling actin polymerization: the effect on confined cell migration.Biomechanics and modeling in mechanobiology · 2019Article
- Quantitative cell-based model predicts mechanical stress response of growing tumor spheroids over various growth conditions and cell lines.PLoS computational biology · 2019Article
Corrections and comments
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Authors and funding
4 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Cell migration plays an essential role in cancer metastasis. In cancer invasion through confined spaces, cells must undergo extensive deformation, which is a capability related to their metastatic potentials. Here, we simulate the deformation of the cell and nucleus during invasion through a dense, physiological microenvironment by developing a phenomenological computational model. In our work, cells are attracted by a generic emitting source (e.g., a chemokine or stiffness signal), which is treated by using Green's Fundamental solutions. We use an IMEX integration method where the linear parts and the nonlinear parts are treated by using an Euler backward scheme and an Euler forward method, respectively. We develop the numerical model for an obstacle-induced deformation in 2D or/and 3D. Considering the uncertainty in cell mobility, stochastic processes are incorporated and uncertainties in the input variables are evaluated using Monte Carlo simulations. This quantitative study aims at estimating the likelihood for invasion and the length of the time interval in which the cell invades the tissue through an obstacle. Subsequently, the two-dimensional cell deformation model is applied to simplified cancer metastasis processes to serve as a model for in vivo or in vitro biomedical 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.