A mathematical model of liver cell aggregation in vitro

DOI10.1007/s11538-008-9387-1zbMath1163.92013OpenAlexW1970376270WikidataQ40017386 ScholiaQ40017386MaRDI QIDQ1026649

Kevin M. Shakesheff, Helen M. Byrne, J. Edward F. Green, Sarah L. Waters

Publication date: 25 June 2009

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

Full work available at URL: http://hdl.handle.net/2440/70588

zbMATH Keywords

cell aggregationmultiphase modeltissue engineering

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)

Related Items (5)

An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture ⋮ Mathematical model of a biological medium with account for the active interactions and relative displacements of cells that form it ⋮ Non-local models for the formation of hepatocyte-stellate cell aggregates ⋮ Multiphase modelling of vascular tumour growth in two spatial dimensions ⋮ Simulation of the sorting of two types of cells in a cell spheroid with account for the movement of the boundaries of regions occupied by cells of different types

Cites Work

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• A continuum model of motility in ameboid cells
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• The importance of constitutive equations in mechanochemical models of pattern formation
• On the stability of homogeneous solutions to some aggregation models
• A new interpretation of the keller-segel model based on multiphase modelling
• A mechanical model of tumor encapsulation and transcapsular spread
• The role of cell-cell interactions in a two-phase model for avascular tumour growth
• Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
• A Nonlinear Analysis of a Mechanical Model for Biological Pattern Formation
• Pattern formation with a conservation law
• Modelling the formation of capillaries
• Modelling solid tumour growth using the theory of mixtures
• Thin-film theories for two-phase reactive flow models of active cell motion
• Averaged Equations for Two‐Phase Flows
• Dynamics of group formation in collective motion of organisms

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