Mathematical Foundations of Physiology, Medicine, and Health Sciences

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.

• Category 11. Discovery of the Number Zero, and its significance in our daily living, Mathematics, Science, and Medicine2. Fundamental Relationships among Biological Variables, with Applications3. Introduction to Basic Calculus and Rate of Change of Biomedical Variables4. Exponential and Logarithmic Biomedical Functions and their derivatives5. Introduction to the Study of Mathematics in Health sciences6. Introduction to the Study of Physics in Health sciences7. Deep Learning architecture with neural network modeling, and its Applications to Glucose-insulin regulatory system modelling and Coronary Arterial Bypass Grafting8. First Oder Ordinary Differential Equations and their Applications to Characterizing Lung Diseases and Disorders9. Second Order Differential Equations, and Application to the Glucose-Insulin Regulatory System Model to distinguish between normal subjects and diabetic subjectsCategory 210. STEM Model of Medicine (STEM2) in Education and Clinical Care: New Era of Integrated Biomedical Engineering and MedicineSection 1. Glucose-Insulin Regulatory System Physiology and Diabetes Diagnostics11. Glucose-Insulin Regulatory System Model and formulation of Nondimensional Diabetes Indices for Accurate Diagnosis of Diabetic Subjects12. Analysis of OGTT Blood Glucose and Insulin Responses, and Diagnostic Indices to categorize patients as normal or diabetic or at risk of becoming diabetic13. Digitizing Diabetes Care Through Technology and Data: Strategies for Modern ChallengesSection 2. Lung Ventilation Physiology and Ventilation Index for Lung disorders14. Lung Ventilation Modeling and formulation of Ventilatory Index for Lung Disease Diagnosis15. Nondimensional Lung Ventilatory Index for Weaning Mechanically Ventilated COPD patientsSection 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 failure17. Analysis of Arterial Pulse Wave Propagation: Determination of Pulse Wave Velocity and Arterial Stiffness18. Determination of Aortic Pressure Waveform due to the blood pumped by the Left Ventricle into the Aorta, and Measure of Aortic Stiffness and Arteriosclerosis19. 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 dynamics21. Bioelectricity to Electrocardiology: ECG, its basis based on heart electrical phenomenon, and its diagnostic implications22. 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 Function25. Analysis of the Helical Plate for Spiral Fracture Fixation of Bones26. Biomechanics of Back Pain: Prevention through Postural Energization of Spinal Structures, Treatment through Percutaneous DiscectomySection 5. Renal Function Analysis and Dialysis 27. Kidney Function and Failure, Artificial Kidney Function by Hemodialysis and Peritoneal Dialysis28. Renal Physiological Engineering: Analysing its Anatomy and Functions, for regulation of urine concentration by the counter-current mechanism in the loop of Henle29. Mathematical Modeling of Epithelial Transport in the KidneySection 6. Neuronal Physiology and Engineering 30. Nerve Conduction: Action Potential development & propagation: Nerve conduction Analysis, Nerve Impulse Transmission31. Neural EngineeringSection 7. Healthcare Management and Personalized Healthcare32. Hospital and Healthcare Management Program33. 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 careFINALE34. Physiological Nondimensional Indices in Medical Assessment for Accurate Diagnosis of Organs Dysfunction, Physiological Disorders and Disease States