Ghista Dhanjoo N.: Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences

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Einband: Fester Einband
Verfügbarkeit: Noch nicht erschienen, Januar 2026
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Introduction to Mathematics in Physiology, Medicine, and Health Sciences provides a quantitative handbook for physiology and biological systems, so researchers, practitioners, and clinicians can have a quantitative foundation, and medicine can incorporate more precise diagnostics. This book’s purpose is to demonstrate how fundamental mathematics can be incorporated into biomedical engineering, physiology, medicine, and health sciences research, application, and clinical practice to make these disciplines more quantitative and computational, and hence more explanatory and informative. The book also provides more quantitative formulation of medical procedures, towards supporting the growing field of precision medicine. The book guides readers though the foundations of mathematics as it is applied to modeling of physiological systems, medicine, biology, and health sciences. Each chapter includes a robust introduction to the mathematical concepts and principles necessary to understand their application to the indicated medical and biological systems, beginning with the fundamental relationships among biological variables in Chapter 2, introduction to basic calculus and rate of change in biomedical variables in Chapter 3, and the principles of linear algebra and vectors applied to medicine in Chapter 4. Chapters 5-7 cover the fundamentals of exponential and logarithmic biomedical functions, maximum and minimum values of a function, and integration applications such as summation, area, and volume. Chapter 8 provides an in-depth look into biomedical applications of Ordinary and Partial Differential Equations, which are important modeling tools for flow and variable systems. Chapter 9 provides extensive coverage of Organ System Analyses, which is the core of the physiological system modeling in the book, with a wide range of applied examples. Chapters 10 and 11 extend the modeling applications to medical devices and signal processing. Each chapter provides in-depth guidance on the mathematical concepts, methodology, and procedures for applying the mathematical formulas and equations to the appropriate biomedical and physiological systems, as well as step-by-step procedures for creating models for a wealth of specific applications.

ISBN: 978-0-443-30186-5
GTIN: 9780443301865

Über den Autor Ghista Dhanjoo N.

Dr. Dhanjoo N. Ghista is President of the University 2020 Foundation and a world authority in Biomedical Engineering. Dr. Ghista is author and editor of numerous books on subjects ranging from Biomedical Engineering to Cardiology science and technology, and he is the inventor of novel medical diagnostic and surgical procedures. Dr. Ghista is a pioneer in the field of Biomedical Engineering in Translational Medicine. He promotes a new STEMbased model of Medicine for precision medicine and surgery, as well as the role of universities in contributing sustainable community development. Dr. Ghista has an international standing in academia, having set up programs and departments at universities in responsible academic-administrative positions (from Department Head to CAO/Provost), and has even been involved in planning universities. Dr. Ghista has taught courses in Engineering, Physics, Biomedical Engineering, medical sciences, sports science, and hospital management. His research involvements and publications include Biomedical Engineering, Medicine, Cognitive Science and therapy, sports science, sustainable communities, and the role of university in society. Dr. Ghista is the author/editor of Biomedical Engineering Modeling for Medical Assessment, Volumes 1-3, Springer; Coronary Artery Bypass Grafting Design Simulations, Lambert Academic Publishing; Cardiac Perfusion and Pumping Engineering, World Scientific Publishing; Applied Biomedical Engineering Mechanics, CRC Press; and Orthopaedic Mechanics Procedures and Devices, Academic Press; among many others.Anacleto V. Mernone is a Researcher at the University of Adelaide and The Queen Elizabeth Hospital with a remarkable background in technical writing, primarily focused on the engineering and scientific domains, and boasting extensive experience within the defense and medical industries. With a diverse skill set encompassing modeling, simulation, analysis, systems engineering, software engineering, and design. He was research associate to Dr. Jagannath Mazumdar at the Centre for Biomedical Engineering, University of Adelaide. Dr. Kayalvizhi Mohan is an experienced Head of Department with a demonstrated history of working in the higher education industry. Skilled in Cognitive Science, Biomedical Engineering, Cognitive Neuroscience, Matlab, and Research, he is a strong education professional with a Doctor of Philosophy (Ph.D.) focused in Biomedical/Medical Engineering from Madras Institute of Technology campus Anna University.Dr. Jagannath Mazumdar (deceased) was Emeritus Director of the Centre for Biomedical Engineering, University of Adelaide. After receiving bachelor's and master's degrees in applied mathematics from Patna University, India, he proceeded to Moscow State University to complete his Ph.D. in Solid Mechanics. He was also conferred an honorary Ph.D. degree by the University of Adelaide, Australia. Dr. Mazumdar has done some interesting research for the non-invasive study of heart valves tissue pathology by spectral analysis of heart sounds as well as by two-dimensional sector-scan echocardiography. This study gave us precise indication of the normality or abnormality of the stiffness property and hence, of the pathology of the valve leaflet material. He has also done some interesting study of vibrations of tympanic membrane (ear drum) by time-averaged holography which has been published in the Journal of Otolaryngological Society of Australia. Dr. Mazumdar worked in the field of Tissue Engineering and NanoBioscience. In acknowledgement of his contributions, Dr. Mazumdar was elected a Fellow of the Institution of Engineering, Australia. He was a Fellow of Australian Mathematical Society and a Fellow of Australian College of Physical Scientists and Engineers in Medicine.

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