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Mathematical And Numerical Modeling Of The Cardiovascular System And Applications
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Book Synopsis Mathematical and Numerical Modeling of the Cardiovascular System and Applications by : Daniele Boffi
Download or read book Mathematical and Numerical Modeling of the Cardiovascular System and Applications written by Daniele Boffi and published by Springer. This book was released on 2018-11-03 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Modelling of the Human Cardiovascular System by : Alfio Quarteroni
Download or read book Mathematical Modelling of the Human Cardiovascular System written by Alfio Quarteroni and published by Cambridge University Press. This book was released on 2019-05-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.
Book Synopsis Cardiovascular Systems: Mathematical and Numerical Modeling by : Cameron Middleton
Download or read book Cardiovascular Systems: Mathematical and Numerical Modeling written by Cameron Middleton and published by Hayle Medical. This book was released on 2023-09-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cardiovascular Mathematics by : Luca Formaggia
Download or read book Cardiovascular Mathematics written by Luca Formaggia and published by Springer Science & Business Media. This book was released on 2010-06-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling of Physiological Flows by : Davide Ambrosi
Download or read book Modeling of Physiological Flows written by Davide Ambrosi and published by Springer Science & Business Media. This book was released on 2012-10-31 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.
Book Synopsis Cardiovascular Mathematics by : Luca Formaggia
Download or read book Cardiovascular Mathematics written by Luca Formaggia and published by Springer. This book was released on 2011-03-23 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling the Heart and the Circulatory System by : Alfio Quarteroni
Download or read book Modeling the Heart and the Circulatory System written by Alfio Quarteroni and published by Springer. This book was released on 2015-04-24 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Cardiovascular and Respiratory Systems by : Jerry J. Batzel
Download or read book Cardiovascular and Respiratory Systems written by Jerry J. Batzel and published by SIAM. This book was released on 2007-09-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Modelling in Medicine by : Johnny T. Ottesen
Download or read book Mathematical Modelling in Medicine written by Johnny T. Ottesen and published by IOS Press. This book was released on 2000 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applied Mathematical Models in Human Physiology by : Johnny T. Ottesen
Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen and published by SIAM. This book was released on 2004-02-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Cardiac Electrophysiology by : Piero Colli Franzone
Download or read book Mathematical Cardiac Electrophysiology written by Piero Colli Franzone and published by Springer. This book was released on 2014-10-30 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal models and cardiac source representations. These advanced multiscale and nonlinear models describe the cardiac bioelectrical activity from the cell level to the body surface and are employed in both the direct and inverse problems of electrocardiology. The book also covers advanced numerical techniques needed to efficiently carry out large-scale cardiac simulations, including time and space discretizations, decoupling and operator splitting techniques, parallel finite element solvers. These techniques are employed in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic effects on excitation and repolarization wavefronts, the morphology of electrograms in normal and pathological tissue and some reentry phenomena. The overall aim of the book is to present rigorously the mathematical and numerical foundations of computational electrocardiology, illustrating the current research developments in this fast-growing field lying at the intersection of mathematical physiology, bioengineering and computational biomedicine. This book is addressed to graduate student and researchers in the field of applied mathematics, scientific computing, bioengineering, electrophysiology and cardiology.
Book Synopsis Mathematical Modeling and Validation in Physiology by : Jerry J. Batzel
Download or read book Mathematical Modeling and Validation in Physiology written by Jerry J. Batzel and published by Springer. This book was released on 2012-12-14 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Artificial Intelligence in Heart Modelling by : Rafael Sebastian
Download or read book Artificial Intelligence in Heart Modelling written by Rafael Sebastian and published by Frontiers Media SA. This book was released on 2022-05-11 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Hemodynamics – Theory, Modelling and Applications by : Jiyuan Tu
Download or read book Computational Hemodynamics – Theory, Modelling and Applications written by Jiyuan Tu and published by Springer. This book was released on 2015-02-24 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling the Heart and the Circulatory System by : Alfio Quarteroni
Download or read book Modeling the Heart and the Circulatory System written by Alfio Quarteroni and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Computational Cardiovascular Mechanics by : Julius M. Guccione
Download or read book Computational Cardiovascular Mechanics written by Julius M. Guccione and published by Springer Science & Business Media. This book was released on 2010-01-08 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Cardiovascular Mechanics provides a cohesive guide to creating mathematical models for the mechanics of diseased hearts to simulate the effects of current treatments for heart failure. Clearly organized in a two part structure, this volume discusses various areas of computational modeling of cardiovascular mechanics (finite element modeling of ventricular mechanics, fluid dynamics) in addition to a description an analysis of the current applications used (solid FE modeling, CFD). Edited by experts in the field, researchers involved with biomedical and mechanical engineering will find Computational Cardiovascular Mechanics a valuable reference.
Book Synopsis Modeling Reality with Mathematics by : Alfio Quarteroni
Download or read book Modeling Reality with Mathematics written by Alfio Quarteroni and published by Springer Nature. This book was released on 2022-12-15 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulating the behavior of a human heart, predicting tomorrow's weather, optimizing the aerodynamics of a sailboat, finding the ideal cooking time for a hamburger: to solve these problems, cardiologists, meteorologists, sportsmen, and engineers can count on math help. This book will lead you to the discovery of a magical world, made up of equations, in which a huge variety of important problems for our life can find useful answers.
