RESEARCH COMMONS
LIBRARY

Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage

ResearchCommons/Manakin Repository

Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage

Show simple item record

dc.contributor.author Mow, Van C. en
dc.contributor.author Eisenfeld, Jerome en
dc.date.accessioned 2010-06-03T16:15:25Z en
dc.date.available 2010-06-03T16:15:25Z en
dc.date.issued 1977-01 en
dc.identifier.uri http://hdl.handle.net/10106/2304 en
dc.description.abstract There has been considerable effort put forth to analyse degenerative Joint diseases in terms of the principles of mechanics and hydrodynamics [8]. This effort has led to mathematical models which are systems of nonlinear partial differential equations (see e.g., [6] and [7]). The mathematical models are based on assumptions concerning the nature of the physical system which are not a priori known. Therefore laboratory experiments are performed with an eye towards validating the mathematical models. This paper deals with a particular mathematical model, a nonlinear diffusion equation, which has been proposed by Mow and Monsour [4], [5] to describe the stress relaxation of articular cartilage. More precisely, the stress relaxation function f(t) is related to a solution u(x,t) of a nonlinear PDE problem (see (1.1)-(1.4) below). In this paper we analytically determine the behavior of f(t) (Theorem 1). The consistency of these results to already existing theory and experimental findings is discussed in [1]. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;51 en
dc.subject Degenerative joint diseases en
dc.subject Nonlinear diffusion equation en
dc.subject Stress relaxation function en
dc.subject Asymptotic properties en
dc.subject.lcsh Biology mathematical models en
dc.subject.lcsh Mathematics Research en
dc.title Asymptotic Properties of a Nonlinear Diffusion Process Arising in Articular Cartilage en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

Files in this item

Files Size Format View Description
MathTechReport051.pdf 445.4Kb PDF View/Open PDF

This item appears in the following Collection(s)

Show simple item record

Browse

My Account

Statistics

About Us