Mathematical Modelling of the Human Cardiovascular System

Mathematical Modelling of the Human Cardiovascular System PDF Author: Alfio Quarteroni
Publisher: Cambridge University Press
ISBN: 110848039X
Category : Mathematics
Languages : en
Pages : 291

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

Mathematical Modelling of the Human Cardiovascular System

Mathematical Modelling of the Human Cardiovascular System PDF Author: Alfio Quarteroni
Publisher: Cambridge University Press
ISBN: 110848039X
Category : Mathematics
Languages : en
Pages : 291

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

A Mathematical Model of the Human Cardiovascular System

A Mathematical Model of the Human Cardiovascular System PDF Author: Warren Elvin Wilson
Publisher:
ISBN:
Category :
Languages : en
Pages : 5

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Book Description


Applied Mathematical Models in Human Physiology

Applied Mathematical Models in Human Physiology PDF Author: Johnny T. Ottesen
Publisher: SIAM
ISBN: 0898715393
Category : Medical
Languages : en
Pages : 304

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Book Description
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.

Development of a Mathematical Model of the Human Cardiovascular System

Development of a Mathematical Model of the Human Cardiovascular System PDF Author: Bruce Allen Johnson
Publisher:
ISBN:
Category : Cardiovascular system
Languages : en
Pages : 532

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Book Description


Mathematical Modelling in Medicine

Mathematical Modelling in Medicine PDF Author: Johnny T. Ottesen
Publisher: IOS Press
ISBN: 9781586030261
Category : Mathematics
Languages : en
Pages : 248

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Book Description
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

Cardiovascular Mathematics

Cardiovascular Mathematics PDF Author: Luca Formaggia
Publisher: Springer Science & Business Media
ISBN: 8847011523
Category : Mathematics
Languages : en
Pages : 528

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Book Description
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 Modeling of Cardiovascular Systems: From Physiology to the Clinic

Mathematical Modeling of Cardiovascular Systems: From Physiology to the Clinic PDF Author: Julius Guccione
Publisher: Frontiers Media SA
ISBN: 2889633233
Category :
Languages : en
Pages : 289

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Book Description


A Mathematical Model of Cardiovascular System with Feedback Control

A Mathematical Model of Cardiovascular System with Feedback Control PDF Author: Jiayu Gu
Publisher:
ISBN:
Category : Blood
Languages : en
Pages : 120

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Book Description
A mathematical model of human cardiovascular system is presented in this study. The closed-loop model is composed of twenty compartments which includes the left and right ventricles, and the systemic and pulmonary circulations. Two physiologic feedback control mechanisms, autoregulation of blood flow and baroreceptor reflex regulation of arterial pressure, are incorporated in the model. Autoregulation acts by changing local resistance to blood flow through metabolic and myogenic mechanisms, thereby insuring a match between oxygen supply and demand for any tissue or organ. Baroreceptors act through neural pathways to alter heart rate, contractility and peripheral resistance in order to return sudden changes in blood pressure to a normal "set point". Pressure and volume waves in a simulated normal human at rest throughout the systemic circulation were generated. Parameters of the model were set to simulate heart failure in two stages. The effects of autoregulation on the coronary circulation with the changes in ventricular contractility, heart rate and peripheral resistance were studied. The results suggest that the oxygen consumption rate of the coronary circulation is mainly affected by afterload. Maximizing ventricular contractility and peripheral resistance, and minimizing heart rate were shown to improve ventricular coronary vascular reserve.

Mathematical and Numerical Modeling of the Cardiovascular System and Applications

Mathematical and Numerical Modeling of the Cardiovascular System and Applications PDF Author: Daniele Boffi
Publisher: Springer
ISBN: 3319966499
Category : Mathematics
Languages : en
Pages : 252

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Book Description
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.

Modeling the Heart and the Circulatory System

Modeling the Heart and the Circulatory System PDF Author: Alfio Quarteroni
Publisher: Springer
ISBN: 3319052306
Category : Mathematics
Languages : en
Pages : 248

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Book Description
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.