Biomedical Engineering Reference
In-Depth Information
11
The Transport of Insulin-Like Growth Factor
through Ca
rtilage
Lihai Zhang
Department of Civil and Environmental Engineering, The University of
Melbourne, Melbourne, Australia
Bruce S. Gardiner, David W. Smith, Peter Pivonka
Faculty of Engineering, Computing and Mathematics, The University of
Western Australia, Western Australia, Australia
Alan J. Grodzinsky
Center for Biomedical Engineering, Department of Electrical Engineering and
Computer Science, Department of Mechanical Engineering, Massachusetts
Institute of Technology, Cambridge, MA
CONTENTS
11.1
Overview ................................................................... 400
11.2
Basic Solute Transport Model in a Deforming Articular Cartilage ....... 404
11.2.1
Introduction ...................................................... 404
11.2.1.1
Modeling Cartilage Using the Theory of
Porous Media .......................................... 404
11.2.2
Basic Solute Transport Model in Cyclically Loaded Cartilage . . 405
11.2.2.1
Conservation of Mass .................................. 406
11.2.2.2
Conservation of Linear Momentum ................... 407
11.2.2.3
Model Geometry for Radial Solute Transport in
Cartilage under Unconfined Cyclic Compression ..... 409
11.2.2.4
Boundary Conditions .................................. 411
11.2.2.5
Initial Conditions ...................................... 411
11.2.2.6
Numerical Method..................................... 411
11.3
The Effect of Cyclic Loading and IGF-I Binding on IGF-I
Transport in Cartilage ..................................................... 412
11.3.1
Introduction ...................................................... 412
11.3.1.1
The Effect of IGF Binding on IGF Transport
in Cartilage ............................................ 415
11.3.2
Interaction between IGF-I and Its IGFBPs ...................... 416
11.3.2.1
Law of Mass Action ................................... 416
11.3.2.2
Model of Solute Transport and Binding in a
Deformable Cartilage .................................. 417
11.3.2.3
Boundary and Initial Conditions ...................... 419
399
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