ArticleJournal of mathematical biology2014
A mathematical model of the coupled mechanisms of cell adhesion, contraction and spreading.
Article in Journal of mathematical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed, 52 citations in OpenAlex.
- Implant Texture and Capsular Contracture: A Review of Cellular and Molecular Pathways.Plastic and reconstructive surgery. Global open · 2024Article
- Mechanobiology of the relocation of proteins in advecting cells: in vitro experiments, multi-physics modeling, and simulations.Biomechanics and modeling in mechanobiology · 2023Article
- Computational modeling and simulation of epithelial wound closure.Scientific reports · 2023Article
- Actomyosin contractility and buckling of microtubules in nucleation, growth and disassembling of focal adhesions.Biomechanics and modeling in mechanobiology · 2022Article
- Modeling Receptor Motility along Advecting Lipid Membranes.Membranes · 2022Review
- Phase field model for cell spreading dynamics.Journal of mathematical biology · 2022Article
- Combinatorial mathematical modelling approaches to interrogate rear retraction dynamics in 3D cell migration.PLoS computational biology · 2021Article
- Cell Shape and Durotaxis Explained from Cell-Extracellular Matrix Forces and Focal Adhesion Dynamics.iScience · 2020Article
- A mechanical toy model linking cell-substrate adhesion to multiple cellular migratory responses.Journal of biological physics · 2019Article
- Free-energy-based framework for early forecasting of stem cell differentiation.Journal of the Royal Society, Interface · 2019Article
- Thermodynamic Modeling of the Statistics of Cell Spreading on Ligand-Coated Elastic Substrates.Biophysical journal · 2018Article
- Transient response of nonlinear polymer networks: A kinetic theory.Journal of the mechanics and physics of solids · 2018Article
- Numerical investigation of the role of intercellular interactions on collective epithelial cell migration.Biomechanics and modeling in mechanobiology · 2018Article
- CD103 (αE Integrin) Undergoes Endosomal Trafficking in Human Dendritic Cells, but Does Not Mediate Epithelial Adhesion.Frontiers in immunology · 2018Article
- Label-free and real-time monitoring of single cell attachment on template-stripped plasmonic nano-holes.Scientific reports · 2017Article
- Heterogeneity is key to hydrogel-based cartilage tissue regeneration.Soft matter · 2017Article
- Phoretic motion of soft vesicles and droplets: an XFEM/particle-based numerical solution.Computational mechanics · 2017Article
- A Dynamic Biochemomechanical Model of Geometry-Confined Cell Spreading.Biophysical journal · 2017Article
- Structural Modeling of Mechanosensitivity in Non-Muscle Cells: Multiscale Approach to Understand Cell Sensing.ACS biomaterials science & engineering · 2017Article
- Center or periphery? Modeling the effects of focal adhesion placement during cell spreading.PloS one · 2017Article
Corrections and comments
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Authors and funding
2 authors at 2 institutions in 1 country.
Funding
Abstract
Recent research has shown that cell spreading is highly dependent on the contractility of its cytoskeleton and the mechanical properties of the environment it is located in. The dynamics of such process is critical for the development of tissue engineering strategy but is also a key player in wound contraction, tissue maintenance and angiogenesis. To better understand the underlying physics of such phenomena, the paper describes a mathematical formulation of cell spreading and contraction that couples the processes of stress fiber formation, protrusion growth through actin polymerization at the cell edge and dynamics of cross-membrane protein (integrins) enabling cell-substrate attachment. The evolving cell's cytoskeleton is modeled as a mixture of fluid, proteins and filaments that can exchange mass and generate contraction. In particular, besides self-assembling into stress fibers, actin monomers able to polymerize into an actin meshwork at the cell's boundary in order to push the membrane forward and generate protrusion. These processes are possible via the development of cell-substrate attachment complexes that arise from the mechano-sensitive equilibrium of membrane proteins, known as integrins. After deriving the governing equation driving the dynamics of cell evolution and spreading, we introduce a numerical solution based on the extended finite element method, combined with a level set formulation. Numerical simulations show that the proposed model is able to capture the dependency of cell spreading and contraction on substrate stiffness and chemistry. The very good agreement between model predictions and experimental observations suggests that mechanics plays a strong role into the coupled mechanisms of contraction, adhesion and spreading of adherent cells.
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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.