Modeling of Mass Transport Processes in Biological Media

1st Edition - August 24, 2022
Editors: Sid M. Becker, Andrey V. Kuznetsov, Filippo de Monte, Giuseppe Pontrelli, Dan Zhao
Language: English
Hardback ISBN:
9 7 8 - 0 - 4 4 3 - 1 5 7 6 5 - 3
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 8 5 7 4 1 - 3

Modeling of Mass Transport Processes in Biological Media focuses on applications of mass transfer relevant to biomedical processes and technology—fields that require qu… Read more

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Modeling of Mass Transport Processes in Biological Media focuses on applications of mass transfer relevant to biomedical processes and technology—fields that require quantitative mechanistic descriptions of the delivery of molecules and drugs. This book features recent advances and developments in biomedical therapies with a focus on the associated theoretical and mathematical techniques necessary to predict mass transfer in biological systems.

The book is authored by over 50 established researchers who are internationally recognized as leaders in their fields. Each chapter contains a comprehensive introductory section for those new to the field, followed by recent modeling developments motivated by empirical experimental observation. Offering a unique opportunity for the reader to access recent developments from technical, theoretical, and engineering perspectives, this book is ideal for graduate and postdoctoral researchers in academia as well as experienced researchers in biomedical industries.

Cover image
Title page
Table of Contents
Copyright
Contributors
Preface
Chapter 1: Applications of porous media in biological transport modeling
Abstract
1.1: Introduction
1.2: Applications of porous media in modeling in modeling transport phenomena in arteries
1.3: Fluid–structure interaction in biomedical applications
1.4: Brain aneurysms
1.5: Magnetic resonance imaging (MRI)
1.6: Concluding remarks
References
Chapter 2: Metabolic consumption of microorganisms
Abstract
2.1: Introduction
2.2: Model formulation and metabolic mass transfer
2.3: Analysis of the equation governing monotonic growth
2.4: Closed form analytical solution of the monotonic growth
2.5: Results and discussion
2.6: Conclusions
References
Further reading
Chapter 3: Numerical simulation of deformability cytometry: Transport of a biological cell through a microfluidic channel
Abstract
Acknowledgments
3.1: Introduction
3.2: Modeling biological cells in an RT-DC channel
3.3: Hydrodynamic stresses on the cell surface
3.4: Cell shapes and cell deformation
3.5: Extraction of the cell viscosity
3.6: Approximation error of the cell volume over the channel
3.7: Conclusions
Appendix: Derivation of the deformation measure from cell contours
References
Chapter 4: Computation of organelle age during axonal transport
Abstract
Acknowledgments
4.1: Introduction
4.2: Governing equations
4.3: Simulation of the DCV concentration in the axon
4.4: Age distribution model of DCVs and mean age of DCVs in boutons
4.5: Parameter value estimation
4.6: Numerical approach
4.7: Results
4.8: Discussion, model constraints, and future directions
References
Chapter 5: Continuum models of drug transport to multiple cell-type population
Abstract
5.1: Introduction
5.2: Formulation of the problem
5.3: Method of solution
5.4: Case study: A 3D rectangular biological tissue
5.5: Results and discussion
5.6: Conclusions
5.A: Appendix A
5.B: Appendix B
5.C: Appendix C
5.D: Appendix D
5.E: Appendix E
References
Chapter 6: Computational investigation of the role of low-density lipoprotein and oxygen transport in atherosclerotic arteries
Abstract
Acknowledgment
6.1: Introduction: Atherosclerosis and the role of mass transport
6.2: Mass transfer of low-density lipoproteins and oxygen in arteries: Theoretical background
6.3: Mass transfer of low-density lipoproteins in arteries: Computational modeling
6.4: Mass transfer of oxygen in arteries: Computational modeling
6.5: Limitations of the current models and future directions
6.6: Conclusions
References
Chapter 7: Fluid dynamics and mass transport in lower limb vessels: Effects on restenosis
Abstract
Acknowledgment
7.1: Introduction
7.2: Lower limb vessels: Anatomy, physiopathology, treatment options, and their failure
7.3: Modeling the hemodynamics of treated lower limb vessels
7.4: State-of-the-art computational mass transport models of lower limb vessels
7.5: Conclusions and future directions
References
Chapter 8: Numerical modeling in support of locoregional drug delivery during transarterial therapies for liver cancer
Abstract
8.1: Introduction
8.2: State of the art of computational techniques
8.3: Clinical parameters
8.4: State of the art of experimental techniques
8.5: Closing remarks
References
Chapter 9: Active gel: A continuum physics perspective
Abstract
Acknowledgments
9.1: Introduction
9.2: A short insight into active gel physics
9.3: A continuum model of active gels
9.4: Worked examples
9.5: Conclusions and future challenges
Appendix: Cylindrical coordinates
References
Chapter 10: Modeling nasal spray droplet deposition and translocation in nasal airway for olfactory delivery
Abstract
Acknowledgment
10.1: Introduction
10.2: Materials and methods
10.3: Results
10.4: Discussions and conclusion
References
Chapter 11: Drug delivery and in vivo absorption
Abstract
11.1: Drug delivery
11.2: State of the art
11.3: Oral administration
11.4: Conclusions
References
Chapter 12: Modeling the physiological phenomena and the effects of therapy on the dynamics of tumor growth
Abstract
12.1: Introduction
12.2: Formal reaction kinetics
12.3: Creating tumor model with formal reaction kinetics
12.4: Concluding remarks
References
Chapter 13: Mathematical models of water transport across ocular epithelial layers
Abstract
13.1: Introduction to fluid transport in the eye
13.2: Formulation of the problem of water and solute transport
13.3: Mechanisms involved in water transport across cell layers
13.4: Aqueous humor production at the ciliary processes
13.5: Transport across the corneal endothelium
13.6: Transport across the retinal pigment epithelium
13.7: Conclusions
References
Chapter 14: Multidimensional modeling of solid tumor proliferation following drug treatment: Toward computational prognosis as a tool to support oncology
Abstract
14.1: Introduction
14.2: The workflow of the simulation framework
14.3: Mathematical formulation
14.4: Results
14.5: Conclusions
References
Chapter 15: Modeling LDL accumulation within an arterial wall
Abstract
15.1: Introduction
15.2: Wall-free and single-layer models
15.3: Multilayer modeling
15.4: Published results of multilayer models
15.5: Conclusions and future developments
References
Chapter 16: Modeling transport of soluble proteins and metabolites in the brain
Abstract
Acknowledgments
16.1: Introduction
16.2: Blood-brain barrier
16.3: Flow through the parenchyma
16.4: Conclusions
References
Chapter 17: Hybrid-dimensional models for blood flow and mass transport: Sequential and embedded 3D-1D models
Abstract
17.1: Introduction
17.2: 3D-1D geometric sequential multiscale models
17.3: 3D-1D geometric embedded multiscale models
17.4: Conclusions
References
Chapter 18: Chemical thermodynamic principles and computational modeling of NOX2-mediated ROS production on cell membrane
Abstract
Acknowledgment
18.1: Introduction
18.2: Thermodynamic principles for biochemical systems modeling
18.3: Mathematical modeling of NOX2 enzyme function
18.4: Data analysis and estimation of unknown model parameters
18.5: Biological insights into NOX2 enzyme function
18.6: Summary and conclusion
18.7: Model limitations and future directions
References
Index

Sid M. Becker

Sid Becker is an Associate Professor in the Department of Mechanical Engineering at the University of Canterbury. He is an Alexander von Humboldt Fellow and is a recipient of the Royal Society of New Zealand Marsden Grant. He has held academic positions in Germany, the United States, and New Zealand. His research is primarily in computational and analytical modelling of heat and mass transfer processes in biological media. Dr. Becker is also the editor of the book Modeling of Microscale Transport in Biological Processes (2017) and co-editor of the books Heat Transfer and Fluid Flow in Biological Processes (2015), and Transport in Biological Media (2013).

Affiliations and expertise

Associate Professor, Department of Mechanical Engineering, University of Canterbury, Christchurch, New Zealand

Andrey V. Kuznetsov

Dr. Kuznetsov is Professor at the Department of Mechanical & Aerospace Engineering at North Carolina State University. He holds a joint professorial position at the University of North Carolina’s Biomedical Engineering Department. He is a Fellow of American Society of Mechanical Engineering, an Editorial Board Member of the Proceeding of the Royal Society A, and an Associate Editor of the Journal of Porous Media. He is a recipient of the prestigious Humboldt Research Award. In 2014, Dr. Kuznetsov was elected as a Member of the Scientific Council of the International Center of Heat and Mass Transfer. He has published more than 400 journal papers, 17 book chapters, 3 books, and 100 conference papers. His works have been cited over 12,000 times: he has an h-index of 51 and an i-10 index of over 220. While his most notable early contributions are in the development of the field of porous media, Prof. Kuznetsov’s research interests in the general area of numerical modeling are extensive, including transport in living tissues, sub-cellular transport, mass transport in neurons and axons, bioheat transport, bioconvective sedimentation, fluid mechanics, flows in microgravity, and turbulence.

Affiliations and expertise

Professor, Department of Mechanical and Aerospace Engineering, North Carolina State University, NC, USA

Filippo de Monte

Dr. de Monte is a Professor of Mechanical Engineering at University of L’Aquila, Italy. He served as a full-time Visiting Ph.D. student at the Department of Engineering, University of Cambridge, UK, in 1992, and a seasonal Visiting Associate Professor at the Department of Mechanical Engineering, Michigan State University, USA, in 2007 up to 2014. Also, he is a Member of American Society of Mechanical Engineers (ASME) and holds editorial positions at the Journal of Verification, Validation and Uncertainty Quantification (ASME), Mathematical Problems in Engineering and Heat Transfer Engineering (here as guest editor). He was the Chairman of the 10th International Conference on Inverse Problems in Engineering (ICIPE 22), May 15-19, 2022, Francavilla al Mare (Chiet), Italy, and is co-author of the Wiley 2nd Edition book: Inverse Heat Conduction: Ill-Posed Problems (Spring 2023), by Woodbury, Najafi, de Monte and Beck.

Affiliations and expertise

Professor, Department of Industrial and Information Engineering and Economics, University of L’Aquila, Italy. His research interests include heat and mass transport by diffusion with applications to porous media, inverse heat transfer analysis, thermal properties estimation, refrigerating machines and Stirling thermal cycle.

Giuseppe Pontrelli

Giuseppe Pontrelli is a research director at Istituto per le Applicazioni del Calcolo of CNR in Rome. His research interests include applied mathematics, continuum mechanics and numerical analysis with application in biofluid dynamics, physiological flows at micro and nanoscale, mass transport, drug delivery systems. Over the years, he has worked on many research projects and developed, with a multi-disciplinary approach, mathematical models and computational methods for complex systems related to health. He is the author of over 80 papers in international scientific periodicals and book chapters and an associate editor of journals focusing on the above themes.

Affiliations and expertise

Research Director, Istituto per le Applicazioni del Calcolo of CNR, Rome, Italy

Dan Zhao

Prof. Dan Zhao is the director of Master Engineering Studies at the University of Canterbury, New Zealand. He serves on a number of scientific journals as the chief and associate editors such as AIAA Journal, Journal of the Royal Society of New Zealand, Aerospace Science and Technology, and Journal of Engineering for Gas Turbines and Power (ASME). Prof. Zhao has been awarded with the prestigious fellowships from Engineering New Zealand, European Academy of Sciences and Arts, European Academy of Sciences as well as the ASEAN Academy of Engineering and Technology. His research expertise and interests include applying theoretical, numerical, and experimental approaches to study CO2 -free combustion science and technology, fabric drying, aeroacoustics, thermoacoustics; UAV aerodynamics; propulsion; energy harvesting; and renewable energy and fuel (ammonia and hydrogen)

Affiliations and expertise

Tenured Faculty, Department of Mechanical Engineering, University of Canterbury, New Zealand

Life Sciences

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Modeling of Mass Transport Processes in Biological Media

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Sid M. Becker

Andrey V. Kuznetsov

Filippo de Monte

Giuseppe Pontrelli

Dan Zhao