Authors | H. Narayanan |
Title | A Continuum Theory of Multiphase Mixtures for Modelling Biological Growth |
Afilliation | Scientific Computing |
Project(s) | No Simula project |
Status | Published |
Publication Type | PhD Thesis |
Year of Publication | 2007 |
Degree awarding institution | NA |
Date Published | October |
Publisher | University of Michigan |
Thesis Type | phd |
ISBN Number | http://hdl.handle.net/2027.42/57683 |
Abstract | 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. |