Mathematical and Numerical Modeling of the Cardiovascular System and Applications

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Author :
Publisher : Springer
ISBN 13 : 3319966499
Total Pages : 252 pages
Book Rating : 4.3/5 (199 download)

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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 252 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.

Cardiovascular Systems: Mathematical and Numerical Modeling

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Author :
Publisher : Hayle Medical
ISBN 13 : 9781646475544
Total Pages : 0 pages
Book Rating : 4.4/5 (755 download)

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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.

Mathematical Modelling of the Human Cardiovascular System

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Author :
Publisher : Cambridge University Press
ISBN 13 : 110848039X
Total Pages : 291 pages
Book Rating : 4.1/5 (84 download)

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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.

Cardiovascular Mathematics

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 8847011523
Total Pages : 528 pages
Book Rating : 4.8/5 (47 download)

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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.

Cardiovascular and Respiratory Systems

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Author :
Publisher : SIAM
ISBN 13 : 0898717450
Total Pages : 289 pages
Book Rating : 4.8/5 (987 download)

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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.

Modeling the Heart and the Circulatory System

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Author :
Publisher : Springer
ISBN 13 : 3319052306
Total Pages : 248 pages
Book Rating : 4.3/5 (19 download)

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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 248 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.

Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889633233
Total Pages : 289 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic by : Julius Guccione

Download or read book Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic written by Julius Guccione and published by Frontiers Media SA. This book was released on 2020-01-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cardiovascular Mathematics

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Author :
Publisher : Springer
ISBN 13 : 9788847011571
Total Pages : 526 pages
Book Rating : 4.0/5 (115 download)

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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.

Mathematical Cardiac Electrophysiology

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Author :
Publisher : Springer
ISBN 13 : 3319048015
Total Pages : 410 pages
Book Rating : 4.3/5 (19 download)

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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 410 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.

Modelling of living systems

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Author :
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.:/5 (633 download)

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Book Synopsis Modelling of living systems by : Alfio Quarteroni (Mathématicien)

Download or read book Modelling of living systems written by Alfio Quarteroni (Mathématicien) and published by . This book was released on 2002 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cardiovascular and Respiratory Systems

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Author :
Publisher : SIAM
ISBN 13 : 0898716179
Total Pages : 289 pages
Book Rating : 4.8/5 (987 download)

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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.

Modeling of Physiological Flows

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 8847019354
Total Pages : 418 pages
Book Rating : 4.8/5 (47 download)

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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.

Mathematically Modelling The Electrical Activity Of The Heart: From Cell To Body Surface And Back Again

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Author :
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106565
Total Pages : 448 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Mathematically Modelling The Electrical Activity Of The Heart: From Cell To Body Surface And Back Again by : Pullan Andrew

Download or read book Mathematically Modelling The Electrical Activity Of The Heart: From Cell To Body Surface And Back Again written by Pullan Andrew and published by World Scientific Publishing Company. This book was released on 2005-09-07 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on modelling the electrical activity of the heart is an attempt to describe continuum based modelling of cardiac electrical activity from the cell level to the body surface (the forward problem), and back again (the inverse problem). Background anatomy and physiology is covered briefly to provide a suitable context for understanding the detailed modelling that is presented herein. The questions of what is mathematical modelling and why one would want to use mathematical modelling are addressed to give some perspective to the philosophy behind our approach. Our view of mathematical modelling is broad — it is not simply about obtaining a solution to a set of mathematical equations, but includes some material on aspects such as experimental and clinical validation.

Applied Mathematical Models in Human Physiology

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Author :
Publisher : SIAM
ISBN 13 : 9780898718287
Total Pages : 311 pages
Book Rating : 4.7/5 (182 download)

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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 2004-01-01 with total page 311 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 focus on 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.

Biomechanical Modeling of the Cardiovascular System

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Publisher :
ISBN 13 : 9780750312813
Total Pages : 0 pages
Book Rating : 4.3/5 (128 download)

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Book Synopsis Biomechanical Modeling of the Cardiovascular System by : Ricardo Armentano

Download or read book Biomechanical Modeling of the Cardiovascular System written by Ricardo Armentano and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Modeling has provided not only answers to questions related to normal or pathological function but also predicted multiple adaptations of the total and individual dynamic structures that are included in cardiovascular research. The original idea of this book was to produce a textbook to be used for the course 'Modeling in Biomechanics and Mechanobiology', which is oriented to Artificial Organs and Tissue Engineering at Buenos Aires University, Argentina. This book brings together the challenges and experiences of academic scientists, leading engineers, industry researchers and students to enable them to analyse results of all aspects of biomechanics and biomedical engineering. It also provides a springboard to discuss the practical challenges and to propose solutions on this complex subject." -- Prové de l'editor.

Mathematical Modelling in Medicine

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Author :
Publisher : IOS Press
ISBN 13 : 9781586030261
Total Pages : 248 pages
Book Rating : 4.0/5 (32 download)

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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

Applied Mathematical Models in Human Physiology

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Author :
Publisher : SIAM
ISBN 13 : 0898715393
Total Pages : 304 pages
Book Rating : 4.8/5 (987 download)

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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.