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Cardiovascular Mathematics
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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.
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: Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.
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.
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 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.
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 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 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 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:
Book Synopsis Computational And Mathematical Methods In Cardiovascular Physiology by : Liang Zhong
Download or read book Computational And Mathematical Methods In Cardiovascular Physiology written by Liang Zhong and published by World Scientific. This book was released on 2019-04-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cardiovascular diseases (CVD) including heart diseases, peripheral vascular disease and heart failure, account for one-third of deaths throughout the world. CVD risk factors include systolic blood pressure, total cholesterol, high-density lipoprotein cholesterol, and diabetic status. Clinical trials have demonstrated that when modifiable risk factors are treated and corrected, the chances of CVD occurring can be reduced. This illustrates the importance of this book's elaborate coverage of cardiovascular physiology by the application of mathematical and computational methods.This book has literally transformed Cardiovascular Physiology into a STEM discipline, involving (i) quantitative formulations of heart anatomy and physiology, (ii) technologies for imaging the heart and blood vessels, (iii) coronary stenosis hemodynamics measure by means of fractional flow reserve and intervention by grafting and stenting, (iv) fluid mechanics and computational analysis of blood flow in the heart, aorta and coronary arteries, and (v) design of heart valves, percutaneous valve stents, and ventricular assist devices.So how is this mathematically and computationally configured landscape going to impact cardiology and even cardiac surgery? We are now entering a new era of mathematical formulations of anatomy and physiology, leading to technological formulations of medical and surgical procedures towards more precise medicine and surgery. This will entail reformatting of (i) the medical MD curriculum and courses, so as to educate and train a new generation of physicians who are conversant with medical technologies for applying into clinical care, as well as (ii) structuring of MD-PhD (Computational Medicine and Surgery) Program, to train competent medical and surgical specialists in precision medical care and patient-specific surgical care.This book provides a gateway for this new emerging scenario of (i) science and engineering based medical educational curriculum, and (ii) technologically oriented medical and surgical procedures. As such, this book can be usefully employed as a textbook for courses in (i) cardiovascular physiology in both the schools of engineering and medicine of universities, as well as (ii) cardiovascular engineering in biomedical engineering departments worldwide.
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 Cardiovascular Mechanics by : Michel R. Labrosse
Download or read book Cardiovascular Mechanics written by Michel R. Labrosse and published by CRC Press. This book was released on 2018-09-13 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to illustrate in specific detail how cardiovascular mechanics stands as a common pillar supporting such different clinical successes as drugs for high blood pressure, prosthetic heart valves and coronary artery bypass grafting, among others. This information is conveyed through a comprehensive treatment of the overarching principles and theories that are behind mechanobiological processes, aortic and arterial mechanics, atherosclerosis, blood and microcirculation, hear valve mechanics, as well as medical devices and drugs. Examines all major theoretical and practical aspects of mechanical forces related to the cardiovascular system. Discusses a unique coverage of mechanical changes related to an aging cardiovascular system. Provides an overview of experimental methods in cardiovascular mechanics. Written by world-class researchers from Canada, the US and EU. Extensive references are provided at the end of each chapter to enhance further study. Michel R. Labrosse is the founder of the Cardiovascular Mechanics Laboratory at the University of Ottawa, where he is a full professor within the Department of Mechanical Engineering. He has been an active researcher in academia along with being heavily associated with the University of Ottawa Heart Institute. He has authored or co-authored over 90 refereed communications, and supervised or co-supervised over 40 graduate students and post-docs.
Book Synopsis Mathematical Aspects of Heart Physiology by : Charles S. Peskin
Download or read book Mathematical Aspects of Heart Physiology written by Charles S. Peskin and published by . This book was released on 1975 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Introduction to Computational Cardiology by : Boris Ja. Kogan
Download or read book Introduction to Computational Cardiology written by Boris Ja. Kogan and published by Springer Science & Business Media. This book was released on 2009-12-09 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Computational Cardiology provides a comprehensive, in-depth treatment of the fundamental concepts and research challenges involved in the mathematical modeling and computer simulation of dynamical processes in the heart, under normal and pathological conditions. About this textbook: - Presents descriptions of models used in both biology and medicine for discovering the mechanisms of heart function and dysfunction on several physiological scales across different species. - Provides several examples throughout the textbook and exercises at the end which facilitate understanding of basic concepts and introduces, for implementation, treated problems to parallel supercomputers. Introduction to Computational Cardiology serves as a secondary textbook or reference book for advanced-level students in computer science, electrical engineering, biomedical engineering, and cardiac electrophysiology. It is also suitable for researchers employing mathematical modeling and computer simulations of biomedical problems.
