Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences
- 1st Edition - January 1, 2026
- Imprint: Academic Press
- Authors: Dhanjoo N. Ghista, Anacleto V. Mernone, Kayalvizhi Mohan, Jagannath Mazumdar
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 3 - 3 0 1 8 6 - 5
- eBook ISBN:9 7 8 - 0 - 4 4 3 - 3 0 1 8 7 - 2
Mathematics and Biomedical Engineering in Medicine, Physiology and Health Sciences is a visionary book, whose purpose is to demonstrate how fundamental mathematics and biomedica… Read more
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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.
The book comprises two categories of chapters:
Category 1. Mathematical Systems, from Basic Calculus to Differential Equations, and their Applications in Physiology, Medicine, and Health Sciences.
Category 2. Physiological, Medical, and Health Sciences, involving Mathematical and Biomedical Engineering Formulations.
In Category 2, the book has chapters in the following sections:
Section 1. Glucose-Insulin Regulatory System Physiology and Diabetes Diagnostics
Section 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders
Section 3. Cardiovascular Physiology and Medicine
Section 4. Spinal Engineering and Orthopedics
Section 5. Renal Function Analysis and Dialysis
Section 6. Neuronal Physiology and Engineering
Section 7. Healthcare Management and Personalized Healthcare
Category 1 chapters can enable medical students to learn how basic mathematics can be incorporated into physiology, medicine, and health sciences teaching, towards making these disciplines more quantitative and computational, and hence more explanatory and informative.
Category 2 chapters can provide quantitative formulation of physiological systems, medical procedures, and health sciences towards meeting the new trend of precision medicine. Some advanced chapters can even be employed in the MD-PhD (Mathematics & Biomedical Engineering) Program.
This fundamental book will thereby contribute to the transformation of medical schools, incorporating mathematics and physiology into teaching physiology, medicine, and health sciences.
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 comprises two categories of chapters:
Category 1. Mathematical Systems, from Basic Calculus to Differential Equations, and their Applications in Physiology, Medicine, and Health Sciences.
Category 2. Physiological, Medical, and Health Sciences, involving Mathematical and Biomedical Engineering Formulations.
In Category 2, the book has chapters in the following sections:
Section 1. Glucose-Insulin Regulatory System Physiology and Diabetes Diagnostics
Section 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders
Section 3. Cardiovascular Physiology and Medicine
Section 4. Spinal Engineering and Orthopedics
Section 5. Renal Function Analysis and Dialysis
Section 6. Neuronal Physiology and Engineering
Section 7. Healthcare Management and Personalized Healthcare
Category 1 chapters can enable medical students to learn how basic mathematics can be incorporated into physiology, medicine, and health sciences teaching, towards making these disciplines more quantitative and computational, and hence more explanatory and informative.
Category 2 chapters can provide quantitative formulation of physiological systems, medical procedures, and health sciences towards meeting the new trend of precision medicine. Some advanced chapters can even be employed in the MD-PhD (Mathematics & Biomedical Engineering) Program.
This fundamental book will thereby contribute to the transformation of medical schools, incorporating mathematics and physiology into teaching physiology, medicine, and health sciences.
The book provides readers with a solid foundation in mathematical concepts and techniques relevant to physiology, medicine, and health sciences, making it accessible to students and professionals from various backgrounds.
The chapters provide in-depth guidance on the mathematical concepts and biomedical engineering methodology of physiological and medical systems. They include real-world examples and case studies that illustrate how mathematics and biomedical engineering can be used in physiology, medical practice, and healthcare management, making the content practical and relatable.
All this can lead to new era medical schools.
The chapters provide in-depth guidance on the mathematical concepts and biomedical engineering methodology of physiological and medical systems. They include real-world examples and case studies that illustrate how mathematics and biomedical engineering can be used in physiology, medical practice, and healthcare management, making the content practical and relatable.
All this can lead to new era medical schools.
Biomedical engineers, biomedical and clinical researchers as well as biomedical and clinical professionals who are interested in pursuing further studies or research and need a stronger mathematical foundation
Category 1
Chapter 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
Chapter 3. Introduction to Basic Calculus and Rate of Change of Biomedical Variables
Chapter 4. Exponential and Logarithmic Biomedical Functions and their derivatives
Chapter 5. Introduction to the Study of Mathematics in Health sciences
Chapter 6. Introduction to the Study of Physics in Health sciences
Chapter 7. Deep Learning architecture with neural network modeling, and its Applications to Glucose-insulin regulatory system modelling and Coronary Arterial Bypass Grafting
Chapter 8. First Oder Ordinary Differential Equations and their Applications to Characterizing Lung Diseases and Disorders
Chapter 9. Second Order Differential Equations, and Application to the Glucose-Insulin Regulatory System Model to distinguish between normal subjects and diabetic subjects
Category 2
Chapter 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
Chapter 11. Glucose-Insulin Regulatory System Model and formulation of Nondimensional Diabetes Indices for Accurate Diagnosis of Diabetic Subjects
Chapter 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
Chapter 13. Digitizing Diabetes Care Through Technology and Data: Strategies for Modern Challenges
Section 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders
Chapter 14. Lung Ventilation Modeling and formulation of Ventilatory Index for Lung Disease Diagnosis
Chapter 15. Nondimensional Lung Ventilatory Index for Weaning Mechanically Ventilated COPD patients
Section 3. Cardiovascular Physiology and Medicine
Chapter 16. Left Ventricular Contractility Indices, for depicting (1) normal well- contracting left ventricles, and (ii) cardiomyopathic left ventricles at risk of heart failure
Chapter 17. Analysis of Arterial Pulse Wave Propagation: Determination of Pulse Wave Velocity and Arterial Stiffness
Chapter 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
Chapter 19. Left Ventricular Twisting model to Simulate Left ventricular Contraction and Pressure increase during Isovolumic Contraction, Caused by myocardial fiber contraction and angle decrease
Chapter 20. Cardiac Flow Analysis and its application to Flow in the Left Ventricle to study Vortex dynamics
Chapter 21. Bioelectricity to Electrocardiology: ECG, its basis based on heart electrical phenomenon, and its diagnostic implications
Chapter 22. ECG Principles, Signal components interpretation, Signal Processing methods, Bioelectric principles in ECG diagnosis
Section 4. Spinal Engineering and Orthopedics
Chapter 23. Spinal Lumbar Vertebral Body, Intrinsically Designed as a Functionally Optimal Structure
Chapter 24. Spinal Intervertebral Disc, Intrinsically designed as an Optimal structure for its Function
Chapter 25. Analysis of the Helical Plate for Spiral Fracture Fixation of Bones
Chapter 26. Biomechanics of Back Pain: Prevention through Postural Energization of Spinal Structures, Treatment through Percutaneous Discectomy
Section 5. Renal Function Analysis and Dialysis
Chapter 27. Kidney Function and Failure, Artificial Kidney Function by Hemodialysis and Peritoneal Dialysis
Chapter 28. Renal Physiological Engineering: Analysing its Anatomy and Functions, for regulation of urine concentration by the counter-current mechanism in the loop of Henle
Chapter 29. Mathematical Modeling of Epithelial Transport in the Kidney
Section 6. Neuronal Physiology and Engineering
Chapter 30. Nerve Conduction: Action Potential development & propagation: Nerve conduction Analysis, Nerve Impulse Transmission
Chapter 31. Neural Engineering
Section 7. Healthcare Management and Personalized Healthcare
Chapter 32. Hospital and Healthcare Management Program
Chapter 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
Chapter 34. Physiological Nondimensional Indices in Medical Assessment for Accurate Diagnosis of Organs Dysfunction, Physiological Disorders and Disease States
Chapter 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
Chapter 3. Introduction to Basic Calculus and Rate of Change of Biomedical Variables
Chapter 4. Exponential and Logarithmic Biomedical Functions and their derivatives
Chapter 5. Introduction to the Study of Mathematics in Health sciences
Chapter 6. Introduction to the Study of Physics in Health sciences
Chapter 7. Deep Learning architecture with neural network modeling, and its Applications to Glucose-insulin regulatory system modelling and Coronary Arterial Bypass Grafting
Chapter 8. First Oder Ordinary Differential Equations and their Applications to Characterizing Lung Diseases and Disorders
Chapter 9. Second Order Differential Equations, and Application to the Glucose-Insulin Regulatory System Model to distinguish between normal subjects and diabetic subjects
Category 2
Chapter 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
Chapter 11. Glucose-Insulin Regulatory System Model and formulation of Nondimensional Diabetes Indices for Accurate Diagnosis of Diabetic Subjects
Chapter 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
Chapter 13. Digitizing Diabetes Care Through Technology and Data: Strategies for Modern Challenges
Section 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders
Chapter 14. Lung Ventilation Modeling and formulation of Ventilatory Index for Lung Disease Diagnosis
Chapter 15. Nondimensional Lung Ventilatory Index for Weaning Mechanically Ventilated COPD patients
Section 3. Cardiovascular Physiology and Medicine
Chapter 16. Left Ventricular Contractility Indices, for depicting (1) normal well- contracting left ventricles, and (ii) cardiomyopathic left ventricles at risk of heart failure
Chapter 17. Analysis of Arterial Pulse Wave Propagation: Determination of Pulse Wave Velocity and Arterial Stiffness
Chapter 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
Chapter 19. Left Ventricular Twisting model to Simulate Left ventricular Contraction and Pressure increase during Isovolumic Contraction, Caused by myocardial fiber contraction and angle decrease
Chapter 20. Cardiac Flow Analysis and its application to Flow in the Left Ventricle to study Vortex dynamics
Chapter 21. Bioelectricity to Electrocardiology: ECG, its basis based on heart electrical phenomenon, and its diagnostic implications
Chapter 22. ECG Principles, Signal components interpretation, Signal Processing methods, Bioelectric principles in ECG diagnosis
Section 4. Spinal Engineering and Orthopedics
Chapter 23. Spinal Lumbar Vertebral Body, Intrinsically Designed as a Functionally Optimal Structure
Chapter 24. Spinal Intervertebral Disc, Intrinsically designed as an Optimal structure for its Function
Chapter 25. Analysis of the Helical Plate for Spiral Fracture Fixation of Bones
Chapter 26. Biomechanics of Back Pain: Prevention through Postural Energization of Spinal Structures, Treatment through Percutaneous Discectomy
Section 5. Renal Function Analysis and Dialysis
Chapter 27. Kidney Function and Failure, Artificial Kidney Function by Hemodialysis and Peritoneal Dialysis
Chapter 28. Renal Physiological Engineering: Analysing its Anatomy and Functions, for regulation of urine concentration by the counter-current mechanism in the loop of Henle
Chapter 29. Mathematical Modeling of Epithelial Transport in the Kidney
Section 6. Neuronal Physiology and Engineering
Chapter 30. Nerve Conduction: Action Potential development & propagation: Nerve conduction Analysis, Nerve Impulse Transmission
Chapter 31. Neural Engineering
Section 7. Healthcare Management and Personalized Healthcare
Chapter 32. Hospital and Healthcare Management Program
Chapter 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
Chapter 34. Physiological Nondimensional Indices in Medical Assessment for Accurate Diagnosis of Organs Dysfunction, Physiological Disorders and Disease States
- Edition: 1
- Published: January 1, 2026
- Imprint: Academic Press
- Language: English
DG
Dhanjoo N. Ghista
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.
Affiliations and expertise
President, University 2020 Foundation, USAAM
Anacleto V. Mernone
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.
Affiliations and expertise
The Queen Elizabeth Hospital, North Western Adelaide Health Service, AustraliaKM
Kayalvizhi Mohan
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.
Affiliations and expertise
Chennai Institute of Technology, Anna University, IndiaJM
Jagannath Mazumdar
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.
Affiliations and expertise
Emeritus Director, Centre for Biomedical Engineering, University of Adelaide, Australia