A Continuum Theory of Multiphase Mixtures for Modelling Biological Growth.

Continuum Thermodynamics;Mixture Theory;Biological Growth;Numerical Methods;Mechanical Engineering;Engineering;Mechanical Engineering and Scientific Computing

Narayanan, HarishJackson, Trachette L. ;

University of Michigan

关键词: Continuum Thermodynamics;    Mixture Theory;    Biological Growth;    Numerical Methods;    Mechanical Engineering;    Engineering;    Mechanical Engineering and Scientific Computing;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/57683/hnarayan_1.pdf?sequence=2&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

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.