A Mathematical Model of Cardiovascular System with Feedback Control PDF Download
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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.
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.
Author: Timothy G. Provens
Publisher:
ISBN:
Category :
Languages : en
Pages : 126
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Book Description
Author: Jerry J. Batzel
Publisher: SIAM
ISBN: 0898716179
Category : Mathematics
Languages : en
Pages : 289
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Book Description
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.
Author: Jerry J. Batzel
Publisher: Springer
ISBN: 3642328822
Category : Mathematics
Languages : en
Pages : 270
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Book Description
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.
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
Author: Julius Guccione
Publisher: Frontiers Media SA
ISBN: 2889633233
Category :
Languages : en
Pages : 289
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Book Description
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.
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.
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.
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.
