Applied Mathematical Models in Human Physiology PDF Download
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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.
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.
Author: Michael Breuss
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
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Book Description
Mathematical models of blood flow are inevitably embedded in models of human thermoregulation because they take the role of the most significant heat distributor in models of the human thermal system 14, 6. Models of human thermoregulation have a wide range of applications, e.g. for the prediction of the impact of accidents, diseases and clinical treatments (see 14 and the references therein). The application of our interest is the prediction of the influence of cooling on the heat distribution in premature infants, see Section 2. In Section 3 we discuss the requirements of a reliable thermoregulation model while the governing equation is described in paragraph four. The employed blood flow model is discussed within Section 5. Section 6 deals with numerical results, followed by concluding remarks in the last paragraph.
Author: Davide Ambrosi
Publisher: Springer Science & Business Media
ISBN: 8847019354
Category : Mathematics
Languages : en
Pages : 418
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Book Description
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.
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: 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: Mohammed Musad
Publisher: LAP Lambert Academic Publishing
ISBN: 9783848432868
Category :
Languages : en
Pages : 128
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Book Description
In mathematical bio-sciences we study the applications of mathematical modeling and mathematical techniques to get an insight into the problems of bio-sciences. The mathematical model is a comprehensive process of representing real Phenomena in terms of Mathematical Equations, and extracting from them useful information for understanding and predicting the process of idealization. The study of blood flow characteristics in human circulatory system in the presence of stenosis, has been the subject of researchers in recent years. A serious study of this problem has been done by Young 1968 who presented a mathematical model to analyses theoretically the effects of stenosis on flow characteristics of blood and concluded that the resistance to the flow and the wall shear stress increase with the increase in stenosis size. The blood flow through large arteries considered as Newtonian flow by Lee JS 1974. while the blood flow through small arteries is considered as non-Newtonian by Chan et all 2007.
Author: D. J. Acheson
Publisher: Oxford University Press
ISBN: 0198596790
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This textbook provides a clear and concise introduction to both theory and application of fluid dynamics. It has a wide scope, frequent references to experiments, and numerous exercises (with hints and answers).
Author: Tobias Köppl
Publisher: Springer Nature
ISBN: 3031330870
Category : Technology & Engineering
Languages : en
Pages : 244
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Book Description
This monograph contains an in-depth and coherent treatment of dimension-reduced modeling of blood flows on the level of large vessels (macrocirculation). The authors reduce the complexity by combining a one-dimensional Navier-Stokes equation and a simplified FSI-concept. The influence of omitted vessels, which are subsequent to the outlets of larger vessels, is accounted for by systems of ordinary differential equations (0D models). The target audience primarily comprises research experts in the field of biomedical engineering, but the book may also be beneficial for graduate students alike.
Author: Antonio Fasano
Publisher: Springer
ISBN: 3319605135
Category : Mathematics
Languages : en
Pages : 352
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Book Description
This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.
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.
