Biomedical Engineering Reference
In-Depth Information
3
Hydrodynamics in Porous Media with
Application
s to Tissue Engineering
C. Oddou, T. Lemaire
Laboratory of Multiscale Modelling and Simulation - Biomechanics, Faculty of
Sciences & Technology, (MSME CNRS-8208), University Paris-Est, Creteil,
France
J. Pierre
Laboratory of Osteo-Articular Biomechanics and Biomaterials (B2OA CNRS-
7052), University Paris 12, Faculty of Sciences & Technology, Creteil Cedex,
France
B. David
Laboratory of Mechanics of Soils, Structures and Materials (MSSMat CNRS-
8579),
Ecole Centrale Paris, Chatenay-Malabry Cedex, France
CONTENTS
3.1
Nomenclature ...............................................................
76
3.2
Introduction .................................................................
78
3.3
Cell and Tissue Engineering: Physicochemical Determinants
of the Development .........................................................
80
3.3.1
Cell Metabolism—Nutrient and Oxygen Consumption:
The Michaelis-Menten Formulation ................................
80
3.3.2
Effects of Nutrient Transport .......................................
83
3.3.3
Effects of Mechanical Loading: Cell and Tissue Mechanobiology . .
84
3.3.4
Other Physicochemical Factors Affecting Cell Metabolism ........
86
3.4
Bioreactors and Implants ...................................................
88
3.4.1
Different Types of Bioreactors ......................................
89
3.4.2
Microarchitectural Design of Substrates ............................
91
3.5
Theoretical Models of Active Porous Media ................................
95
3.5.1
Length and Time Scales of the Different Physicochemical
Phenomena ..........................................................
95
3.5.2
Convection-Diffusion-Reaction Phenomena: Basic Equations
and Characteristic Nondimensional Parameters ....................
95
3.5.3
Computational Models: Two Examples of Model-Driven
Experimental Approaches ........................................... 100
75
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