Mathematical Modelling Of The Human Cardiovascular System
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Mathematical Modelling in Medicine by Johnny T. Ottesen,Michael Danielsen Pdf
Title page -- Preface -- Contents -- Part I. Heart -- The Changing View of the HeartThrough the Centuries -- The Left Ventricular Ejection Effect -- Human Circulatory System Model Based On Frank's Mechanism -- Modelling Blood Flow in the Left Side of the Heart -- Part II: Arterial Tree -- Models of the Arterial Tree -- A One-Dimensional Fluid Dynamic Model of the Systemic Arteries -- Measurement of Arterial Compliance In Vivo -- Models of the Venous System -- Part III: Baroreceptor Control -- General Compartmental Models of the Cardiovascular System -- Modelling the Interaction Among Several Mechanisms in the Short-term Arterial Pressure Control -- Short term Autonomic Nervous Control of the Cardiovascular System: A System Theoretic Approach -- A Baroreflex Model of Short Term Blood Pressure and Heart Rate Variability -- Part IV: Applications for Simulators -- Mathematical Models Behind Advanced Simulators in Medicine -- Cognitive Studies of Ethical Reasoning Basedon the KARDIO-simulator -- Index -- Author Index
Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Publisher : SIAM Page : 304 pages File Size : 44,9 Mb Release : 2004-02-01 Category : Medical ISBN : 9780898715392
Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf
This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors discuss models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation. This is the only book available that analyzes up-to-date models of the physiological system at several levels of detail; both simple 'real-time' models that can be directly used in larger systems, and more detailed 'reference' models that show the underlying physiological mechanisms and provide parameters for and validation of simpler models. The book also covers two-dimensional modeling of the fluid dynamics in the heart and its ability to pump, and includes a discussion of modeling wave-propagation throughout the systemic arteries.
Mathematical and Numerical Modeling of the Cardiovascular System and Applications by Daniele Boffi,Luca F. Pavarino,Gianluigi Rozza,Simone Scacchi,Christian Vergara Pdf
The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the development of mathematical and computational models, including with parameters, as well as their efficient numerical solution, and both in-vivo and in-vitro validation. It also considers applications of relevant clinical interest. This book is intended for graduate students and researchers in the field of bioengineering, applied mathematics, computer, computational and data science, and medicine wishing to become involved in the highly fascinating task of modeling the cardiovascular system.
Cardiovascular Mathematics by Luca Formaggia,Alfio Quarteroni,Allesandro Veneziani Pdf
Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes. This book offers a mathematically sound and up-to-date foundation to the training of researchers and serves as a useful reference for the development of mathematical models and numerical simulation codes.
Cardiovascular Systems: Mathematical and Numerical Modeling by Cameron Middleton Pdf
The cardiovascular system consists of the heart and a network of blood vessels. It is primarily involved in the distribution of nutrients and blood throughout the body, and the transportation of deoxygenated blood back to the lungs. Numerical simulation tools, mathematical models and algorithms can be used for the investigation of the human cardiovascular system. The mathematical and numerical modeling of the cardiovascular system encompasses the development of mathematical and computational models along with their efficient numerical solution, in-vivo and in-vitro validation, and filtering the data. It also involves identifying the parameters of mathematical models, devising optimal treatments and accounting for uncertainties. This book provides comprehensive insights on the mathematical modeling and numerical simulation of the human cardiovascular system. A number of latest researches have been included to keep the readers up-to-date with the global concepts in this area of study. This book aims to serve as a resource guide for students and experts alike and contribute to the growth of the discipline.
Modeling the Heart and the Circulatory System by Alfio Quarteroni Pdf
The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. The contributions cover a wide range of topics, from the preprocessing of clinical data to the development of mathematical equations, their numerical solution, and both in-vivo and in-vitro validation. They discuss the flow in the systemic arterial tree and the complex electro-fluid-mechanical coupling in the human heart. Many examples of patient-specific simulations are presented. This book is addressed to all scientists interested in the mathematical modeling and numerical simulation of the human cardiocirculatory system.
Mathematical Modelling of Haemodialysis by Leszek Pstras,Jacek Waniewski Pdf
Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy. Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes. Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.
Mathematical Modelling in Biomedicine by Vitaly Volpert Pdf
Mathematical modelling in biomedicine is a rapidly developing scientific discipline at the intersection of medicine, biology, mathematics, physics, and computer science. Its progress is stimulated by fundamental scientific questions and by the applications to public health. This book represents a collection of papers devoted to mathematical modelling of various physiological problems in normal and pathological conditions. It covers a broad range of topics including cardiovascular system and diseases, heart and brain modelling, tumor growth, viral infections, and immune response. Computational models of blood circulation are used to study the influence of heart arrhythmias on coronary blood flow and on operating modes for left-ventricle-assisted devices. Wave propagation in the cardiac tissue is investigated in order to show the influence of tissue heterogeneity and fibrosis. The models of tumor growth are used to determine optimal protocols of antiangiogenic and radiotherapy. The models of viral hepatitis kinetics are considered for the parameter identification, and the evolution of viral quasi-species is investigated. The book presents the state-of-the-art in mathematical modelling in biomedicine and opens new perspectives in this passionate field of research.
Circulatory System and Arterial Hypertension by Ludmila N. Ivanova,Alexander M. Blokhin,Evgenia V. Mishchenk Pdf
This book is a multidisciplinary book in which the problem on hypertensive disease is analysed from different points of view by physicists, mathematicians, biologists. Topics discussed include a review on genetic and physiological mechanisms of arterial hypertension; descriptions of various approaches to mathematical modelling of the system for controlling blood circulation and blood flow in a vessel; a survey existing models of hemodynamics and description of an approach to numerical modelling of the blood flow in the human cardiovascular system; and a software developed for visual creation and simulation of modular mathematical models of the biological systems.
Mathematical Modeling and Validation in Physiology by Jerry J. Batzel,Mostafa Bachar,Franz Kappel Pdf
This volume synthesizes theoretical and practical aspects of both the mathematical and life science viewpoints needed for modeling of the cardiovascular-respiratory system specifically and physiological systems generally. Theoretical points include model design, model complexity and validation in the light of available data, as well as control theory approaches to feedback delay and Kalman filter applications to parameter identification. State of the art approaches using parameter sensitivity are discussed for enhancing model identifiability through joint analysis of model structure and data. Practical examples illustrate model development at various levels of complexity based on given physiological information. The sensitivity-based approaches for examining model identifiability are illustrated by means of specific modeling examples. The themes presented address the current problem of patient-specific model adaptation in the clinical setting, where data is typically limited.
Cardiovascular and Respiratory Systems by Jerry J. Batzel,Franz Kappel,Daniel Schneditz,Hien T. Tran Pdf
Cardiovascular and Respiratory Systems: Modeling, Analysis, and Control uses a principle-based modeling approach and analysis of feedback control regulation to elucidate the physiological relationships. Models are arranged around specific questions or conditions, such as exercise or sleep transition, and are generally based on physiological mechanisms rather than on formal descriptions of input-output behavior. The authors ask open questions relevant to medical and clinical applications and clarify underlying themes of physiological control organization. Current problems, key issues, developing trends, and unresolved questions are highlighted. Researchers and graduate students in mathematical biology and biomedical engineering will find this book useful. It will also appeal to researchers in the physiological and life sciences who are interested in mathematical modeling.
Computational Hemodynamics – Theory, Modelling and Applications by Jiyuan Tu,Kiao Inthavong,Kelvin Kian Loong Wong Pdf
This book discusses geometric and mathematical models that can be used to study fluid and structural mechanics in the cardiovascular system. Where traditional research methodologies in the human cardiovascular system are challenging due to its invasive nature, several recent advances in medical imaging and computational fluid and solid mechanics modelling now provide new and exciting research opportunities. This emerging field of study is multi-disciplinary, involving numerical methods, computational science, fluid and structural mechanics, and biomedical engineering. Certainly any new student or researcher in this field may feel overwhelmed by the wide range of disciplines that need to be understood. This unique book is one of the first to bring together knowledge from multiple disciplines, providing a starting point to each of the individual disciplines involved, attempting to ease the steep learning curve. This book presents elementary knowledge on the physiology of the cardiovascular system; basic knowledge and techniques on reconstructing geometric models from medical imaging; mathematics that describe fluid and structural mechanics, and corresponding numerical/computational methods to solve its equations and problems. Many practical examples and case studies are presented to reinforce best practice guidelines for setting high quality computational models and simulations. These examples contain a large number of images for visualization, to explain cardiovascular physiological functions and disease. The reader is then exposed to some of the latest research activities through a summary of breakthrough research models, findings, and techniques. The book’s approach is aimed at students and researchers entering this field from engineering, applied mathematics, biotechnology or medicine, wishing to engage in this emerging and exciting field of computational hemodynamics modelling.
Biotechnology and Biological Sciences by Ramkrishna Sen,Susmita Mukherjee,Rajashree Paul,Rajiv Narula Pdf
The application of Biotechnology dates back to the early era of civilization, when people first started to cultivate food crops. While the early applications are certainly still relevant, modern biotechnology is primarily associated with molecular biology, cloning and genetic engineering not only to increase the yield and to improve the quality of the crop but also its potential impact has touched upon virtually all domains of human interactions. Within the last 50 years, several key scientific discoveries revolutionized the biological sciences that facilitated the rapid growth of the biotechnology industry. 'Biotechnology and Biological Sciences III' contains the contributions presented at the 3rd International Conference on Biotechnology and Biological Sciences (BIOSPECTRUM 2019, Kolkata, India, 8-10 August 2019). The papers discuss various aspects of Biotechnology such as: microbial biotechnology, bioinformatics and drug designing, innovations in pharmaceutical industries and food processing industries, bioremediation, nano-biotechnology, and molecular-genetics, and will be of interest to academics and professionals involved or interested in these subject areas.