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.

Key Features

  • Provides detailed mathematical model development to interpret experiments and provides current modeling practices
  • Provides a wide range of biological and clinical applications
  • Includes physiological descriptions of models


Researchers, Academic Libraries, University Labs, Faculty and Advanced Grad Students

Table of Contents


Chapter 1. Modeling Momentum and Mass Transport in Cellular Biological Media: From the Molecular to the Tissue Scale

1.1 Introduction

1.2 Mechanics of Biomolecules, Subcellular Structures and Biological Cells

1.3 Formulation of Balance Laws and Constitutive Equations

1.4 Calculation of Constitutive Parameters

1.5 Modeling of Growth and Pattern Formation


Chapter 2. Thermal Pain in Teeth: Heat Transfer, Thermomechanics and Ion Transport

2.1 Introduction

2.2 Modeling of Thermally Induced Dentinal Fluid Flow

2.3 Modeling of Nociceptor Transduction

2.4 Results and Discussion

2.5 Conclusion


Chapter 3. Drug Release in Biological Tissues


Greek Symbols




3.1 Introduction

3.2 Continuum Modeling of Mass Transport in Porous Media

3.3 Conservation of Drug Mass

3.4 Analytical Solutions for Local Mass Non-Equilibrium

3.5 Analytical Solutions for Local Mass Equilibrium

3.6 Applications of Porous Media to the Drug-Eluting Stent

3.7 Conclusion


Chapter 4. Transport of Water and Solutes Across Endothelial Barriers and Tumor Cell Adhesion in the Microcirculation

4.1 Introduction

4.2 Microvascular Transport

4.3 Modulation of Microvascular Transport

4.4 Tumor Cell Adhesion in the Microcirculation

4.5 Summary and Opportunities for Future Study


Chapter 5. Carrier-Mediated Transport Through Biomembranes

5.1 Introduction

5.2 Physicochemical Principles and Kinetic Modeling of Carrier-Mediated Transport

5.3 Experimentally Observable Features of Carrier-Mediated Transport Phenomena

5.4 Kinetic Modeling of Mitochondrial image U


No. of pages:
© 2013
Print ISBN:
Electronic ISBN:

About the authors

Sid Becker

Affiliations and Expertise

Director of Post Graduate Studies, University of Canterbury, Christchurch, New Zealand

Andrey Kuznetsov

Affiliations and Expertise

Professor of Mechanical Engineering,North Carolina State University, Raleigh, NC, USA


"Transport in Biological Media. Edited by Sid M. Becker and Andrey V. Kuznetsov. Academic Press. Amsterdam (The Netherlands) and Boston (Massachusetts): Elsevier. $149.95. xiii 559 p.; ill.; index. ISBN: 978-0-12-415824-5. 2013." - The Quarterly Review of Biology,September 2014


"Biochemists and biochemical engineers present interdisciplinary modeling strategies and theoretical tools that are used to understand the diverse phenomena associated with transport within biological media."--Reference and Research Book News, August 2013