A Comprehensive Mathematical Model of the Cardiovascular System Under Time-Dependent Acceleration Stress

A Comprehensive Mathematical Model of the Cardiovascular System Under Time-Dependent Acceleration Stress PDF Author: Xavier J. R. Avula
Publisher:
ISBN:
Category :
Languages : en
Pages : 37

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Book Description
In this study a comprehensive mathematical model of the cardiovascular system under time-dependent accelerations is developed. Recently developed high performance aircraft would expose the human body to acceleration injury if appropriate life-supporting devies are not incorporated in the design. To aid in the construction of desirable life support systems for aerospace maneuvers, the deformation of the arterial and venous segments under dynamic fluid loads caused by blood pooling during GZ acceleration are calculated. Linearized Navier-Stokes equations for blood flow and equations of large elastic deformation theory for blood vessel deformations are used. The resulting nonlinear partial differential equations are solved numerically.

A Comprehensive Mathematical Model of the Cardiovascular System Under Time-Dependent Acceleration Stress

A Comprehensive Mathematical Model of the Cardiovascular System Under Time-Dependent Acceleration Stress PDF Author: Xavier J. R. Avula
Publisher:
ISBN:
Category :
Languages : en
Pages : 37

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Book Description
In this study a comprehensive mathematical model of the cardiovascular system under time-dependent accelerations is developed. Recently developed high performance aircraft would expose the human body to acceleration injury if appropriate life-supporting devies are not incorporated in the design. To aid in the construction of desirable life support systems for aerospace maneuvers, the deformation of the arterial and venous segments under dynamic fluid loads caused by blood pooling during GZ acceleration are calculated. Linearized Navier-Stokes equations for blood flow and equations of large elastic deformation theory for blood vessel deformations are used. The resulting nonlinear partial differential equations are solved numerically.

A Mathematical Model of the Cardiovascular System with Feedback Control Under Short Term Acceleration Stress

A Mathematical Model of the Cardiovascular System with Feedback Control Under Short Term Acceleration Stress PDF Author: Timothy G. Provens
Publisher:
ISBN:
Category :
Languages : en
Pages : 126

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Book Description


Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 440

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Book Description


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.

A Mathematical Model of the Cardiovascular System Under +Gz Stress

A Mathematical Model of the Cardiovascular System Under +Gz Stress PDF Author: Chia-Lin Chu
Publisher:
ISBN:
Category : Atmospheric pressure
Languages : en
Pages : 292

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Book Description


Patient-Specific Modeling of the Cardiovascular System

Patient-Specific Modeling of the Cardiovascular System PDF Author: Roy C.P. Kerckhoffs
Publisher: Springer Science & Business Media
ISBN: 1441966919
Category : Science
Languages : en
Pages : 253

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Book Description
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.

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


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 and Simulating Human Cardiovascular Response to Acceleration

Modeling and Simulating Human Cardiovascular Response to Acceleration PDF Author: Sam Ahmad Zamanian
Publisher:
ISBN:
Category :
Languages : en
Pages : 98

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Book Description
The human cardiovascular system routinely encounters conditions that cause it to adapt. For example, when an astronaut enters microgravity, his/her cardiovascular system adapts rapidly to the weightless environment with no functional impairment. This adaptation is entirely appropriate while in space. However, it predisposes astronauts to problems when they return. It has been suggested that the regimen for astronauts on long-duration space travel include periods of artificial acceleration via centrifugation, in order to maintain some exposure to a gravitational gradient and thus ameliorate some of the physiological consequences of exposure to microgravity. To design such an intervention, it is desirable to know and understand, as well as to predict the cardiovascular response to centrifugation stress. A reasonably compartmentalized mathematical model of the cardiovascular system that represents these conditions is presented, which will allow for understanding and predicting cardiovascular behavior under such conditions. We validated our simulations against human data and showed that our results closely matched the experimental data. Upon validation, we used our model to predict the response of the cardiovascular system to levels of stress that cannot yet be tested on human subjects.

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