Mathematical Modelling Of The Human Cardiovascular System
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Cardiovascular Mathematics
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Author : Luca Formaggia
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-27
Cardiovascular Mathematics written by Luca Formaggia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-27 with Mathematics categories.
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.
Applied Mathematical Models In Human Physiology
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Author : Johnny T. Ottesen
language : en
Publisher: SIAM
Release Date : 2004-01-01
Applied Mathematical Models In Human Physiology written by Johnny T. Ottesen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Medical categories.
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.
Mathematical Modelling Of The Human Cardiovascular System
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Author : Alfio Quarteroni
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09
Mathematical Modelling Of The Human Cardiovascular System written by Alfio Quarteroni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.
Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.
Mathematically Modelling The Electrical Activity Of The Heart From Cell To Body Surface And Back Again
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Author : Andrew Pullan
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-09-07
Mathematically Modelling The Electrical Activity Of The Heart From Cell To Body Surface And Back Again written by Andrew Pullan and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-07 with Science categories.
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.
Theory And Applications Of Heat Transfer In Humans 2 Volume Set
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Author : Devashish Shrivastava
language : en
Publisher: John Wiley & Sons
Release Date : 2018-07-02
Theory And Applications Of Heat Transfer In Humans 2 Volume Set written by Devashish Shrivastava and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-02 with Science categories.
An authoritative guide to theory and applications of heat transfer in humans Theory and Applications of Heat Transfer in Humans 2V Set offers a reference to the field of heating and cooling of tissue, and associated damage. The author—a noted expert in the field—presents, in this book, the fundamental physics and physiology related to the field, along with some of the recent applications, all in one place, in such a way as to enable and enrich both beginner and advanced readers. The book provides a basic framework that can be used to obtain ‘decent’ estimates of tissue temperatures for various applications involving tissue heating and/or cooling, and also presents ways to further develop more complex methods, if needed, to obtain more accurate results. The book is arranged in three sections: The first section, named ‘Physics’, presents fundamental mathematical frameworks that can be used as is or combined together forming more complex tools to determine tissue temperatures; the second section, named ‘Physiology’, presents ideas and data that provide the basis for the physiological assumptions needed to develop successful mathematical tools; and finally, the third section, named ‘Applications’, presents examples of how the marriage of the first two sections are used to solve problems of today and tomorrow. This important text is the vital resource that: Offers a reference book in the field of heating and cooling of tissue, and associated damage. Provides a comprehensive theoretical and experimental basis with biomedical applications Shows how to develop and implement both, simple and complex mathematical models to predict tissue temperatures Includes simple examples and results so readers can use those results directly or adapt them for their applications Designed for students, engineers, and other professionals, a comprehensive text to the field of heating and cooling of tissue that includes proven theories with applications. The author reveals how to develop simple and complex mathematical models, to predict tissue heating and/or cooling, and associated damage.
Quantification Of Biophysical Parameters In Medical Imaging
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Author : Ingolf Sack
language : en
Publisher: Springer Nature
Release Date : 2024-11-05
Quantification Of Biophysical Parameters In Medical Imaging written by Ingolf Sack and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-05 with Medical categories.
The second edition of this book offers six new chapters covering the latest developments in quantitative medical imaging, including artificial intelligence, MRI mapping, sonography, elastography and cardiac CT. All the other existing chapters have been updated and expanded, many with new text and figures, to reflect the rapid translation and advancement of technology in this exciting area of biomedical research. This updated edition presents fundamental knowledge on the imaging quantification of biophysical parameters for clinical diagnostic purposes. Clinical imaging scanners are considered by the authors as physical measurement systems capable of quantifying intrinsic parameters for the representation of the constitution and biophysical properties of tissues in vivo. In one respect, this approach fosters the development of new imaging methods for highly reproducible, system-independent, and quantitative biomarkers. These methods are greatly detailed in the book. Alternatively, this new edition equips the reader with a better understanding of how the physical properties of tissues interact with signal generation in medical imaging, opening up new insights into the complex and fascinating relationship between structure and function in living tissues. This updated edition is of interest to all those who recognize the limitations of clinical diagnosis based primarily on visual inspection of images, and who wish to learn more about the diagnostic potential of quantitative, biophysically-based medical imaging markers, as well as the challenges posed by the scarcity of such markers for next-generation imaging technologies.
Mathematical Modeling Of Cardiovascular Systems From Physiology To The Clinic
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Author : Julius Guccione
language : en
Publisher: Frontiers Media SA
Release Date : 2020-01-13
Mathematical Modeling Of Cardiovascular Systems From Physiology To The Clinic written by Julius Guccione and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-13 with categories.
Mathematical Modelling Of The Human Cardiovascular System
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Author : M. Al-Dahan
language : en
Publisher:
Release Date : 1979
Mathematical Modelling Of The Human Cardiovascular System written by M. Al-Dahan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.
Mathematical Modeling And Numerical Simulation In Continuum Mechanics
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Author : Ivo Babuska
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Modeling And Numerical Simulation In Continuum Mechanics written by Ivo Babuska and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
The first international symposium on mathematical foundations of the finite element method was held at the University of Maryland in 1973. During the last three decades there has been great progress in the theory and practice of solving partial differential equations, and research has extended in various directions. Full-scale nonlinear problems have come within the range of nu merical simulation. The importance of mathematical modeling and analysis in science and engineering is steadily increasing. In addition, new possibili ties of analysing the reliability of computations have appeared. Many other developments have occurred: these are only the most noteworthy. This book is the record of the proceedings of the International Sympo sium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, held in Yamaguchi, Japan from 29 September to 3 October 2000. The topics covered by the symposium ranged from solids to fluids, and in cluded both mathematical and computational analysis of phenomena and algorithms. Twenty-one invited talks were delivered at the symposium. This volume includes almost all of them, and expresses aspects of the progress mentioned above. All the papers were individually refereed. We hope that this volume will be a stepping-stone for further developments in this field.
Mathematical Modelling In Biomedicine
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Author : Vitaly Volpert
language : en
Publisher: MDPI
Release Date : 2021-01-26
Mathematical Modelling In Biomedicine written by Vitaly Volpert and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-26 with Mathematics categories.
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.