AuthorsH. Narayanan
TitleA Continuum Theory of Multiphase Mixtures for Modelling Biological Growth
AfilliationScientific Computing
Project(s)No Simula project
Publication TypePhD Thesis
Year of Publication2007
Degree awarding institution NA
Date PublishedOctober
PublisherUniversity of Michigan
Thesis Typephd
ISBN Number

This dissertation presents a continuum treatment of growth in biological tissue developed within the context of modern mixture theory. The crux of this work is a careful examination of the assumptions underlying continuum thermodynamics under the condition that multiple interacting species occupy a region of Euclidean space simultaneously. The formal axiomatic treatment presented derives from these assumptions, and provides insight into the sequence of interactions among tissue mechanics, mass transport and biochemical reactions. A computational formulation built upon the theory is used to solve a broad class of numerical examples demonstrating several biophysical aspects of tissue growth.