An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture

DOI10.1007/s00285-015-0927-7zbMath1341.92007OpenAlexW2159956430WikidataQ50247043 ScholiaQ50247043MaRDI QIDQ292673

Helen M. Byrne, J. Edward F. Green, Jonathan P. Whiteley, Rosemary J. Dyson

Publication date: 8 June 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-015-0927-7

zbMATH Keywords

mechanicscell aggregationcollagen fibresmultiphase model

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biomechanics (92C10) Developmental biology, pattern formation (92C15) Cell biology (92C37) Cell movement (chemotaxis, etc.) (92C17)

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Cites Work

• Mechanics and chemotaxis in the morphogenesis of vascular networks
• A numerical method for the multiphase viscous flow equations
• A mathematical model for mesenchymal and chemosensitive cell dynamics
• A mechanical model for mesenchymal morphogenesis
• \(M^5\) mesoscopic and macroscopic models for mesenchymal motion
• A mathematical model of liver cell aggregation in vitro
• The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
• A two-phase model of solid tumour growth
• Non-local models for the formation of hepatocyte-stellate cell aggregates
• Mathematical modelling of cancer cell invasion of tissue: local and non-local models and the effect of adhesion
• Mathematical modelling of anisotropy in fibrous connective tissue
• The rheology of fibre suspensions
• The role of cell-cell interactions in a two-phase model for avascular tumour growth
• Critical conditions for pattern formation and in vitro tubulogenesis driven by cellular traction fields
• Modelling cell migration strategies in the extracellular matrix
• Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
• Modeling cell movement in anisotropic and heterogeneous network tissues
• A fibre-reinforced fluid model of anisotropic plant cell growth
• The extensional flow of a thin sheet of incompressible, transversely isotropic fluid
• A two-fluid model for tissue growth within a dynamic flow environment
• A multiphase model for tissue construct growth in a perfusion bioreactor
• MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
• Constitutive equations in suspension mechanics. Part 1. General formulation
• Constitutive equations in suspension mechanics. Part 2. Approximate forms for a suspension of rigid particles affected by Brownian rotations
• Modelling solid tumour growth using the theory of mixtures
• A MATHEMATICAL MODEL FOR CELL-INDUCED GEL COMPACTION IN VITRO
• Linear Taylor–Couette stability of a transversely isotropic fluid
• A continuum model for entangled fibres
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