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On the Description of Growth in Saturated Living Tissues
Author(s) -
Ricken Tim
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610049
Subject(s) - anisotropy , isotropy , helmholtz free energy , permeability (electromagnetism) , invariant (physics) , porous medium , chemistry , thermodynamics , materials science , mechanics , porosity , physics , optics , mathematical physics , biochemistry , organic chemistry , membrane
Abstract A comprehensive model for biological tissues must include the anisotropic tissue structure, the interstitial liquid wich saturated the tissue and the growth mechanism of the tissue. In the present contribution this is done by use of a three phasic model with a solid, liquid and nutrient phase in the framework of the porous media theory (TPM). In order to characterize the transversal isotropic skeleton behavior, an invariant formulation of the Helmholtz free energy function and the permeability tensor is suggested. The growth mechanism is characterizes by a mass transfer between the nutrient and solid phase. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)