Modeling of growth and remodeling in soft biological tissues with multiple constituents

Document Type

Article

Publication Date

1-1-2011

Abstract

Among the various important characteristics of biological tissues is their ability to grow and remodel. It is well-known that one of the primary triggers behind the growth and remodeling process is changes in the mechanical environment, for instance changes in stress, strain, etc. These mechanisms of mechanotransduction are the driving force behind many changes in structure and function including growth and remodeling. The purpose of this article is to formulate better constitutive equations for the stress in tissues with multiple constituents undergoing growth and remodeling. This is a very complex problem and is of tremendous importance. Here, we do the modeling from a mechanics point of view, utilizing the theory of natural configurations coupled with population dynamics to accurately model the production and removal of the different constituents that comprise the tissue. This is accomplished by deriving a generalized McKendrick equation for growth and remodeling and has the advantage of directly including the age distribution of constituents into the model. The population distribution function is then used to determine the stress in the tissue. © 2010 Elsevier Ltd All rights reserved.

Identifier

79751528715 (Scopus)

Publication Title

Mechanics Research Communications

External Full Text Location

https://doi.org/10.1016/j.mechrescom.2010.11.003

ISSN

00936413

First Page

24

Last Page

28

Issue

1

Volume

38

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