Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory.

Journal article

This paper outlines the framework of a porous flow mixture theory for the mathematical modelling of in vitro tissue growth, and gives an application of this theory to an aspect of tissue engineering. The problem is formulated as a set of partial differential equations governing the space and time dependence of the amounts of each component of the tissue (phase), together with the physical stresses in each component. The theory requires constitutive relations to specify the material properties...

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Authors: Lemon, G; King, JR; Byrne, H; Jensen, O; Shakesheff, K

• Publication status: Published
• Journal: Journal of mathematical biology
• Volume: 52
• Issue: 5
• Pages: 571-594
• Publication date: 2006-05-01
• DOI: 10.1007/s00285-005-0363-1
• EISSN: 1432-1416
• ISSN: 0303-6812
• Language: English
• Keywords: Animals; Cell Count; Water; Humans; Models, Biological; Pressure; Cell Aggregation; Algorithms; Cell Movement; Cell Proliferation; Polymers; Tissue Engineering