Vortex Formation in the Cardiovascular System

Vortex Formation in the Cardiovascular System

Author: Arash Kheradvar

Publisher: Springer Science & Business Media

Published: 2012-02-01

Total Pages: 176

ISBN-13: 1447122887

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Vortex Formation in the Cardiovascular System will recapitulate the current knowledge about the vortex formation in the cardiovascular system, from mechanics to cardiology. This can facilitate the interaction between basic scientists and clinicians on the topic of the circulatory system. The book begins with a synopsis of the fundamentals aspects of fluid mechanics to give the reader the essential background to address the proceeding chapters. Then the fundamental elements of vortex dynamics will be discussed, explaining the conditions for their formation and the rules governing their dynamics. The main equations are accompanied by mathematical models. Cardiovascular vortex formation is first analyzed in physiological, healthy conditions in the heart chambers and in the large arterial vessels. The analysis is initially presented with an intuitive appeal grounded on the physical phenomena and a focus on its clinical significance.In the proceeding chapters, the knowledge gained from either clinical or basic science literature will be discussed. The corresponding mathematical elements will finally be presented to ensure the adequate diligence. The proceeding chapters ensue to the analysis of pathological conditions, when the reader may have developed the ability to recognize normal from abnormal vortex formation phenomenon. Pathological vortex formation represents vortices that develop at sites where normally laminar flow should exist, e.g. stenosis and aneurisms. This analysis naturally leads to the interaction of vortices due to the surgical procedures with respect to prediction of changes in vortex formation. The existing techniques, from medical imaging to numerical simulations, to explore vortex flows in the cardiovascular systems will also be described. The presentations are accompanied by the mathematical definitions can that be understandable for reader without the advanced mathematical background, while an interested reader with more advanced knowledge in mathematics can be referred to references for further quantitative analyses. The book pursues the objective to transfer the fundamental vortex formation phenomena with application to the cardiovascular system to the reader. This book will be a valuable support for physicians in the evaluation of vortex influence on diagnosis and therapeutic choices. At the same time, the book will provide the rigorous information for research scientists, either from medicine and mechanics, working on the cardiovascular circulation incurring with the physics of vortex dynamics.


Computational And Mathematical Methods In Cardiovascular Physiology

Computational And Mathematical Methods In Cardiovascular Physiology

Author: Liang Zhong

Publisher: World Scientific

Published: 2019-04-26

Total Pages: 458

ISBN-13: 9813270659

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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.


Vorticity and Vortex Dynamics

Vorticity and Vortex Dynamics

Author: Jie-Zhi Wu

Publisher: Springer Science & Business Media

Published: 2007-04-20

Total Pages: 776

ISBN-13: 3540290281

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This book is a comprehensive and intensive monograph for scientists, engineers and applied mathematicians, as well as graduate students in fluid dynamics. It starts with a brief review of fundamentals of fluid dynamics, with an innovative emphasis on the intrinsic orthogonal decomposition of fluid dynamic process, by which one naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development. In vortex dynamics part the book deals with the formation, motion, interaction, stability, and breakdown of various vortices. Typical vortex structures are analyzed in laminar, transitional, and turbulent flows, including stratified and rotational fluids. Physical understanding of vertical flow phenomena and mechanisms is the first priority throughout the book. To make the book self-contained, some mathematical background is briefly presented in the main text, but major prerequisites are systematically given in appendices. Material usually not seen in books on vortex dynamics is included, such as geophysical vortex dynamics, aerodynamic vortical flow diagnostics and management.


Numerical Methods for Flows

Numerical Methods for Flows

Author: Harald van Brummelen

Publisher: Springer Nature

Published: 2020-02-22

Total Pages: 358

ISBN-13: 3030307050

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This book includes selected contributions on applied mathematics, numerical analysis, numerical simulation and scientific computing related to fluid mechanics problems, presented at the FEF-“Finite Element for Flows” conference, held in Rome in spring 2017. Written by leading international experts and covering state-of-the-art topics in numerical simulation for flows, it provides fascinating insights into and perspectives on current and future methodological and numerical developments in computational science. As such, the book is a valuable resource for researchers, as well as Masters and Ph.D students.


Ultrafast Ultrasound Imaging

Ultrafast Ultrasound Imaging

Author: Hideyuki Hasegawa

Publisher: MDPI

Published: 2018-09-21

Total Pages: 185

ISBN-13: 3038971278

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This book is a printed edition of the Special Issue "Ultrafast Ultrasound Imaging" that was published in Applied Sciences


The Heart and Circulation

The Heart and Circulation

Author: Branko Furst

Publisher: Springer Nature

Published: 2019-11-27

Total Pages: 394

ISBN-13: 3030250628

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This extensively revised second edition traces the development of the basic concepts in cardiovascular physiology in light of the accumulated experimental and clinical evidence. It considers the early embryonic circulation, where blood circulation suggests the existence of a motive force, tightly coupled to the metabolic demands of the tissues. It proposes that rather than being an organ of propulsion, the heart, serves as an organ of control, generating pressure by rhythmically impeding blood flow. New and expanded chapters cover the arterial pulse, circulation in the upright posture, microcirculation and functional heart morphology. Heart and Circulation offers a new perspective for deeper understanding of the human cardiovascular system. It is therefore a thought-provoking resource for cardiologists, cardiac surgeons and trainees interested in models of human circulation.


Principles of Heart Valve Engineering

Principles of Heart Valve Engineering

Author: Arash Kheradvar

Publisher: Academic Press

Published: 2019-08-28

Total Pages: 416

ISBN-13: 0128146621

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Principles of Heart Valve Engineering is the first comprehensive resource for heart valve engineering that covers a wide range of topics, including biology, epidemiology, imaging and cardiovascular medicine. It focuses on valves, therapies, and how to develop safer and more durable artificial valves. The book is suitable for an interdisciplinary audience, with contributions from bioengineers and cardiologists that includes coverage of valvular and potential future developments. This book provides an opportunity for bioengineers to study all topics relating to heart valve engineering in a single book as written by subject matter experts. - Covers the depth and breadth of this interdisciplinary area of research - Encompasses a wide range of topics, from basic science, to the translational applications of heart valve engineering - Contains contributions from leading experts in the field that are heavily illustrated


PanVascular Medicine

PanVascular Medicine

Author: Peter Lanzer

Publisher: Springer

Published: 2015-03-30

Total Pages: 5004

ISBN-13: 9783642370779

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​Vascular management and care has become a truly multidisciplinary enterprise as the number of specialists involved in the treatment of patients with vascular diseases has steadily increased. While in the past, treatments were delivered by individual specialists, in the twenty-first century a team approach is without doubt the most effective strategy. In order to promote professional excellence in this dynamic and rapidly evolving field, a shared knowledge base and interdisciplinary standards need to be established. Pan Vascular Medicine, 2nd edition has been designed to offer such an interdisciplinary platform, providing vascular specialists with state-of-the art descriptive and procedural knowledge. Basic science, diagnostics, and therapy are all comprehensively covered. In a series of succinct, clearly written chapters, renowned specialists introduce and comment on the current international guidelines and present up-to-date reviews of all aspects of vascular care.