A MATHEMATICAL MODEL FOR CELL-INDUCED GEL COMPACTION IN VITRO

DOI10.1142/S0218202512500479zbMath1257.92018WikidataQ61578074 ScholiaQ61578074MaRDI QIDQ4910884

Andrew P. Bassom, Avner Friedman, J. Edward F. Green

Publication date: 13 March 2013

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

compressible fluidnon-localextracellular matrix

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Cell biology (92C37) Physiological flow (92C35)

Related Items (2)

A mathematical model for cell-induced gel contraction incorporating osmotic effects ⋮ An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture

Cites Work

• Unnamed Item
• Mechanics and chemotaxis in the morphogenesis of vascular networks
• Mathematical modelling of cancer cell invasion of tissue
• A purely hyperbolic model for unsteady viscoelastic flow
• A non-local model for a swarm
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
• A mechanical model of tumor encapsulation and transcapsular spread
• ON THE ASYMPTOTIC THEORY FROM MICROSCOPIC TO MACROSCOPIC GROWING TISSUE MODELS: AN OVERVIEW WITH PERSPECTIVES
• MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
• A two-fluid model for tissue growth within a dynamic flow environment
• Continuum approximations of individual-based models for epithelial monolayers
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• Derivation of macroscopic equations for individual cell‐based models: a formal approach

This page was built for publication: A MATHEMATICAL MODEL FOR CELL-INDUCED GEL COMPACTION IN VITRO