Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences

by Elsevier Science, Anacleto V. Mernone MSc, Kayalvizhi Mohan Ph.D., Jagannath Mazumdar Ph.D.

Overview

Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences is a visionary book, whose purpose is to demonstrate how fundamental mathematics and biomedical engineering can be incorporated into physiology, medicine, and health sciences teaching, research,
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.

Product Details

ISBN-13:	9780443301865
Publisher:	Elsevier Science
Publication date:	06/01/2026
Pages:	500
Product dimensions:	7.50(w) x 9.25(h) x (d)

About the Author

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.

Table of Contents

Category 1
1. Discovery of the Number Zero, and its significance in our daily living, Mathematics, Science, and Medicine
2. Fundamental Relationships among Biological Variables, with Applications
3. Introduction to Basic Calculus and Rate of Change of Biomedical Variables
4. Exponential and Logarithmic Biomedical Functions and their derivatives
5. Introduction to the Study of Mathematics in Health sciences
6. Introduction to the Study of Physics in Health sciences
7. Deep Learning architecture with neural network modeling, and its Applications to Glucose-insulin regulatory system modelling and Coronary Arterial Bypass Grafting
8. First Oder Ordinary Differential Equations and their Applications to Characterizing Lung Diseases and Disorders
9. Second Order Differential Equations, and Application to the Glucose-Insulin Regulatory System Model to distinguish between normal subjects and diabetic subjects

Category 2
10. STEM Model of Medicine (STEM2) in Education and Clinical Care: New Era of Integrated Biomedical Engineering and Medicine
Section 1. Glucose-Insulin Regulatory System Physiology and Diabetes Diagnostics
11. Glucose-Insulin Regulatory System Model and formulation of Nondimensional Diabetes Indices for Accurate Diagnosis of Diabetic Subjects
12. Analysis of OGTT Blood Glucose and Insulin Responses, and Diagnostic Indices to categorize patients as normal or diabetic or at risk of becoming diabetic
13. Digitizing Diabetes Care Through Technology and Data: Strategies for Modern Challenges
Section 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders
14. Lung Ventilation Modeling and formulation of Ventilatory Index for Lung Disease Diagnosis
15. Nondimensional Lung Ventilatory Index for Weaning Mechanically Ventilated COPD patients
Section 3. Cardiovascular Physiology and Medicine
16. Left Ventricular Contractility Indices, for depicting (1) normal well- contracting left ventricles, and (ii) cardiomyopathic left ventricles at risk of heart failure
17. Analysis of Arterial Pulse Wave Propagation: Determination of Pulse Wave Velocity and Arterial Stiffness
18. Determination of Aortic Pressure Waveform due to the blood pumped by the Left Ventricle into the Aorta, and Measure of Aortic Stiffness and Arteriosclerosis
19. Left Ventricular Twisting model to Simulate Left ventricular Contraction and Pressure increase during Isovolumic Contraction, Caused by myocardial fiber contraction and angle decrease
20. Cardiac Flow Analysis and its application to Flow in the Left Ventricle to study Vortex dynamics
21. Bioelectricity to Electrocardiology: ECG, its basis based on heart electrical phenomenon, and its diagnostic implications
22. ECG Principles, Signal components interpretation, Signal Processing methods, Bioelectric principles in ECG diagnosis
Section 4. Spinal Engineering and Orthopedics
23. Spinal Lumbar Vertebral Body, Intrinsically Designed as a Functionally Optimal Structure
24. Spinal Intervertebral Disc, Intrinsically designed as an Optimal structure for its Function
25. Analysis of the Helical Plate for Spiral Fracture Fixation of Bones
26. Biomechanics of Back Pain: Prevention through Postural Energization of Spinal Structures, Treatment through Percutaneous Discectomy
Section 5. Renal Function Analysis and Dialysis
27. Kidney Function and Failure, Artificial Kidney Function by Hemodialysis and Peritoneal Dialysis
28. Renal Physiological Engineering: Analysing its Anatomy and Functions, for regulation of urine concentration by the counter-current mechanism in the loop of Henle
29. Mathematical Modeling of Epithelial Transport in the Kidney
Section 6. Neuronal Physiology and Engineering
30. Nerve Conduction: Action Potential development & propagation: Nerve conduction Analysis, Nerve Impulse Transmission
31. Neural Engineering
Section 7. Healthcare Management and Personalized Healthcare
32. Hospital and Healthcare Management Program
33. Personalized Healthcare with Applications in (i) Cardiac Fitness Index from Treadmill Heart Rate monitoring, (ii) Diabetes detection Index by CGM device, (iii) Yoga Meditation for preventive and curative care
FINALE
34. Physiological Nondimensional Indices in Medical Assessment for Accurate Diagnosis of Organs Dysfunction, Physiological Disorders and Disease States

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From the Publisher

A fundamental reference that serves as a stepping stone for those interested in pursuing further studies or research at the intersection of mathematics and healthcare, providing a strong foundation for advanced topics