Mathematical Modeling Of Cardiovascular Systems From Physiology To The Clinic

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Mathematical Modelling of the Human Cardiovascular System

Author : Alfio Quarteroni,Luca Dede',Andrea Manzoni,Christian Vergara
Publisher : Cambridge University Press
Page : 291 pages
File Size : 48,8 Mb
Release : 2019-05-09
Category : Mathematics
ISBN : 9781108480390

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Mathematical Modelling of the Human Cardiovascular System by Alfio Quarteroni,Luca Dede',Andrea Manzoni,Christian Vergara Pdf

Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Mathematical and Numerical Modeling of the Cardiovascular System and Applications

Author : Daniele Boffi,Luca F. Pavarino,Gianluigi Rozza,Simone Scacchi,Christian Vergara
Publisher : Springer
Page : 243 pages
File Size : 44,7 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9783319966496

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Mathematical and Numerical Modeling of the Cardiovascular System and Applications by Daniele Boffi,Luca F. Pavarino,Gianluigi Rozza,Simone Scacchi,Christian Vergara Pdf

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.

Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 51,8 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

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 in Medicine

Author : Johnny T. Ottesen,Michael Danielsen
Publisher : IOS Press
Page : 248 pages
File Size : 51,7 Mb
Release : 2000
Category : Mathematics
ISBN : 1586030264

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Mathematical Modelling in Medicine by Johnny T. Ottesen,Michael Danielsen Pdf

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

Mathematical Modeling and Validation in Physiology

Author : Jerry J. Batzel,Mostafa Bachar,Franz Kappel
Publisher : Springer
Page : 254 pages
File Size : 55,9 Mb
Release : 2012-12-14
Category : Mathematics
ISBN : 9783642328824

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Mathematical Modeling and Validation in Physiology by Jerry J. Batzel,Mostafa Bachar,Franz Kappel Pdf

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.

Cardiovascular Mathematics

Author : Luca Formaggia,Alfio Quarteroni,Allesandro Veneziani
Publisher : Springer Science & Business Media
Page : 522 pages
File Size : 44,7 Mb
Release : 2010-06-27
Category : Mathematics
ISBN : 9788847011526

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Cardiovascular Mathematics by Luca Formaggia,Alfio Quarteroni,Allesandro Veneziani Pdf

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

Author : Jerry J. Batzel,Franz Kappel,Daniel Schneditz,Hien T. Tran
Publisher : SIAM
Page : 289 pages
File Size : 42,6 Mb
Release : 2007-09-20
Category : Mathematics
ISBN : 9780898717457

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Cardiovascular and Respiratory Systems by Jerry J. Batzel,Franz Kappel,Daniel Schneditz,Hien T. Tran Pdf

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.

Computational And Mathematical Methods In Cardiovascular Physiology

Author : Liang Zhong,Ru San Tan,Eddie Yin-kwee Ng,Dhanjoo N Ghista
Publisher : World Scientific
Page : 458 pages
File Size : 41,9 Mb
Release : 2019-04-26
Category : Medical
ISBN : 9789813270657

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Computational And Mathematical Methods In Cardiovascular Physiology by Liang Zhong,Ru San Tan,Eddie Yin-kwee Ng,Dhanjoo N Ghista Pdf

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.

Cardiovascular Systems: Mathematical and Numerical Modeling

Author : Cameron Middleton
Publisher : Hayle Medical
Page : 0 pages
File Size : 41,8 Mb
Release : 2023-09-26
Category : Medical
ISBN : 1646475542

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Cardiovascular Systems: Mathematical and Numerical Modeling by Cameron Middleton Pdf

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.

Patient-Specific Modeling of the Cardiovascular System

Author : Roy C.P. Kerckhoffs
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 53,9 Mb
Release : 2010-09-03
Category : Science
ISBN : 9781441966919

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Patient-Specific Modeling of the Cardiovascular System by Roy C.P. Kerckhoffs Pdf

Peter Hunter Computational physiology for the cardiovascular system is entering a new and exciting phase of clinical application. Biophysically based models of the human heart and circulation, based on patient-specific anatomy but also informed by po- lation atlases and incorporating a great deal of mechanistic understanding at the cell, tissue, and organ levels, offer the prospect of evidence-based diagnosis and treatment of cardiovascular disease. The clinical value of patient-specific modeling is well illustrated in application areas where model-based interpretation of clinical images allows a more precise analysis of disease processes than can otherwise be achieved. For example, Chap. 6 in this volume, by Speelman et al. , deals with the very difficult problem of trying to predict whether and when an abdominal aortic aneurysm might burst. This requires automated segmentation of the vascular geometry from magnetic re- nance images and finite element analysis of wall stress using large deformation elasticity theory applied to the geometric model created from the segmentation. The time-varying normal and shear stress acting on the arterial wall is estimated from the arterial pressure and flow distributions. Thrombus formation is identified as a potentially important contributor to changed material properties of the arterial wall. Understanding how the wall adapts and remodels its material properties in the face of changes in both the stress loading and blood constituents associated with infl- matory processes (IL6, CRP, MMPs, etc.

Modeling of Physiological Flows

Author : Davide Ambrosi,Alfio Quarteroni,Gianluigi Rozza
Publisher : Springer
Page : 418 pages
File Size : 42,5 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 8847025206

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Modeling of Physiological Flows by Davide Ambrosi,Alfio Quarteroni,Gianluigi Rozza Pdf

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.

Modeling the Heart and the Circulatory System

Author : Alfio Quarteroni
Publisher : Springer
Page : 238 pages
File Size : 49,7 Mb
Release : 2015-04-24
Category : Mathematics
ISBN : 9783319052304

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Modeling the Heart and the Circulatory System by Alfio Quarteroni Pdf

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.

Introduction to Computational Cardiology

Author : Boris Ja. Kogan
Publisher : Springer Science & Business Media
Page : 236 pages
File Size : 44,5 Mb
Release : 2009-12-09
Category : Computers
ISBN : 9780387766867

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Introduction to Computational Cardiology by Boris Ja. Kogan Pdf

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.