Mathematical Modeling in Medicine / Edition 1

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Overview

Mathematical Modelling in Medicine is divided into four distinct parts which cover mathematical models of heart, arterial tree, baroreceptor control and applications for simulators. The mathematical models covering these four topics are contained in a number of articles in each part. In addition, historical reviews on the heart, arterial tree and baroreceptors are also included in the articles offering a broader view and understanding of the current physiological models. The models presented are all based on fundamental physiological principles. This common guideline may result in more solid models from which we can obtain new physiological insights. Mathematical Modelling in Medicine demonstrates that the increase in popularity and success of mathematical models, is not solely a consequence of the development and spread of fast computers, making easier access to simulations of complex systems. An important element for this success is the precise continuous samplings of new clinical data have generated experiments, from which one can gain new insights into the dynamics of physiological systems and not only into their steady state behaviour patterns. Another important element is the attempts to focus on precise definitions of physiological concepts in order to avoid confusion, misunderstandings and waste of efforts. Furthermore, it is shown, that mathematics may also provide a tool to structure thoughts, an area which have gained an increasing attention lately. This book will be of interest to graduate students as well as researchers in the interdisciplinary fields of bioengeneering, biophysics and mathematical physiology.
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Product Details

Table of Contents

Preface
The Changing View of the Heart Through the Centuries 3
The Left Ventricular Ejection Effect 13
Human Circulatory System Model Based On Frank's Mechanism 29
Modelling Blood Flow in the Left Side of the Heart 41
Models of the Arterial Tree 65
A One-Dimensional Fluid Dynamic Model of the Systemic Arteries 79
Measurement of Arterial Compliance In Vivo 99
Models of the Venous System 109
General Compartmental Models of the Cardiovascular System 121
Modelling the Interaction Among Several Mechanisms in the Short-term Arterial Pressure Control 139
Short term Autonomic Nervous Control of the Cardiovascular System: A System Theoretic Approach 163
A Baroreflex Model of Short Term Blood Pressure and Heart Rate Variability 179
Mathematical Models Behind Advanced Simulators in Medicine 203
Cognitive Studies of Ethical Reasoning Based on the KARDIO-simulator 217
Index 229
Author Index 235
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