Chemistry Reference
In-Depth Information
7
Effects of Cyclic
Loading and Binding to
Extracellular Matrix on
Macromolecular Transport
in Soft Biological Tissue
M. A. Akhmanova and S. P. Domogatsky
CONTENTS
7.1 Introduction ....................................................................................................... 77
7.2 Model System .................................................................................................... 79
7.3 Mathematical Model.......................................................................................... 81
7.3.1 The Governing Equation for Fluid and Matrix Motion ........................... 81
7.3.2 The Governing Equation for Molecular Transport .................................. 83
7.3.3 Bimolecular Reaction .............................................................................. 84
7.3.4 Boundary Conditions............................................................................... 85
7.3.5 Initial Conditions ..................................................................................... 86
7.3.6 Nondimensionalization of Governing Equations .................................... 86
7.3.7 Numerical Solution.................................................................................. 88
7.4 Discussion.......................................................................................................... 88
7.5 Results ............................................................................................................... 90
7.5.1 Transport of Matrix Binding Protein in Fibrin Gel ................................. 99
7.5.2 Comparison with Experimental Data .................................................... 101
7.6 Conclusion ....................................................................................................... 102
Keywords ................................................................................................................. 103
References ................................................................................................................ 104
7.1 INTRODUCTION
The solute transport is especially important in avascular or damaged tissues, where it
has to provide a sufficient supply of nutrients to cells and modulate biochemical
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