| Description |
1 online resource (xiii, 559 pages) : illustrations |
| Contents |
Half Title; Title Page; Copyright; Contents; Preface; 1 Modeling Momentum and Mass Transport in Cellular Biological Media: From the Molecular to the Tissue Scale; 1.1 Introduction; 1.1.1 Cellular Biological Media; 1.1.2 Interplay Between Transport Phenomena, Structure and Function; 1.1.3 Modeling of Transport Phenomena Across Multiple Scales; 1.1.4 An Engineer's Perspective; 1.2 Mechanics of Biomolecules, Subcellular Structures and Biological Cells; 1.2.1 Biomacromolecules; 1.2.2 Subcellular Structures; 1.2.2.1 Glycocalyx; 1.2.2.2 Cell Membrane; 1.2.2.3 Intracellular Matrix |
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1.2.3 Biological Cells1.3 Formulation of Balance Laws and Constitutive Equations; 1.3.1 Single-Scale, Single-Phase Approaches; 1.3.2 Biot's Theory of Poroelasticity; 1.3.3 Theory of Interacting Continua; 1.3.4 Multiscale Bottom-Up Approaches; 1.3.4.1 Asymptotic Spatial Homogenization; 1.3.4.2 Spatial Averaging Method; 1.3.5 Multiscale Computational, Equation-Free Approaches; 1.4 Calculation of Constitutive Parameters; 1.4.1 Generic Framework for Theoretical Calculation; 1.4.2 Remarks on the Experimental Determination; 1.4.3 Transport Properties of the Extracellular Phase |
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1.4.4 Mechanical Properties of Biological Cells1.4.5 Mechanical Properties of Cellular Biological Media; 1.4.6 Hydraulic Permeability of Porous Cellular Biological Media; 1.4.7 Diffusion Coefficients in Cellular Biological Media; 1.5 Modeling of Growth and Pattern Formation; 1.5.1 Continuum-Based Models; 1.5.2 Discrete-Based Models; Acknowledgments; References; 2 Thermal Pain in Teeth: Heat Transfer, Thermomechanics and Ion Transport; 2.1 Introduction; 2.2 Modeling of Thermally Induced Dentinal Fluid Flow; 2.2.1 Analysis of Thermomechanics of the Tooth; 2.2.2 Analysis of Dentinal Fluid Flow |
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2.3 Modeling of Nociceptor Transduction2.3.1 Modeling of Shear Stress; 2.3.2 Modeling Transduction; 2.4 Results and Discussion; 2.4.1 Tooth Thermomechanics; 2.4.2 The Mechanism Underlying Thermally Induced DFF; 2.4.3 DFF and Its Implications for Tooth Thermal Pain; 2.4.4 The Difference Between Hot and Cold Tooth Pain; 2.5 Conclusion; References; 3 Drug Release in Biological Tissues; Nomenclature; Greek Symbols; Acronyms; Subscripts; Superscripts; 3.1 Introduction; 3.2 Continuum Modeling of Mass Transport in Porous Media; 3.2.1 Porosity and Volume-Averaged Variables |
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3.2.1.1 Averaged Concentration3.2.2 Permeability, Darcy's Law and the Continuity Equation; 3.2.2.1 The Continuity Equation; 3.2.2.2 Extended Continuity Equation; 3.2.3 Tortuosity and Fick's Law; 3.3 Conservation of Drug Mass; 3.3.1 Drug Mass Balance in the Fluid Phase; 3.3.2 Drug Mass Balance in the Solid Phase; 3.3.3 Governing Equations; 3.4 Analytical Solutions for Local Mass Non-Equilibrium; 3.4.1 Nusselt's Solution; 3.4.2 Schumann's Solution; 3.4.3 Anzelius's Solution; 3.4.4 Recent Solutions; 3.5 Analytical Solutions for Local Mass Equilibrium; 3.5.1 A Worked Example |
| Summary |
Transport in Biological Media is a solid resource of mathematical models for researchers across a broad range of scientific and engineering problems such as the effects of drug delivery, chemotherapy, or insulin intake to interpret transport experiments in areas of cutting edge biological research. A wide range of emerging theoretical and experimental mathematical methodologies are offered by biological topic to appeal to individual researchers to assist them in solving problems in their specific area of research. Researchers in biology, biophysics, biomathematics, chemistry, engineers and clinical fields specific to transport modeling will find this resource indispensible. Provides detailed mathematical model development to interpret experiments and provides current modeling practices Provides a wide range of biological and clinical applicationsIncludes physiological descriptions of models |
| Notes |
Includes index |
| Bibliography |
Includes bibliographical references at the end of each chapters and index |
| Notes |
Print version record |
| Subject |
Transport theory.
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Tissues -- Mechanical properties.
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Cells -- Mechanical properties.
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Biological transport.
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Body fluids.
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Biological models.
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Biological Transport -- physiology
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Body Fluids
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Models, Biological
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Biological Transport
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Body fluids
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Biological models
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Biological transport
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Cells -- Mechanical properties
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Tissues -- Mechanical properties
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Transport theory
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| Form |
Electronic book
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| Author |
Becker, Sid
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Kuznetsov, Andrey V
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| LC no. |
2013371116 |
| ISBN |
1299621449 |
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9781299621442 |
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0123978491 |
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9780123978493 |
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0124158242 |
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9780124158245 |
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