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Hemomath


Hemomath
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Hemomath


Hemomath
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Author : Antonio Fasano
language : en
Publisher: Springer
Release Date : 2017-10-30

Hemomath written by Antonio Fasano and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-30 with Mathematics categories.


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.



Stability And Control Processes


Stability And Control Processes
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Author : Nikolay Smirnov
language : en
Publisher: Springer Nature
Release Date : 2022-03-15

Stability And Control Processes written by Nikolay Smirnov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-15 with Technology & Engineering categories.


The proceedings of the 4th Stability and Control Processes Conference are focused on modern applied mathematics, stability theory, and control processes. The conference was held in recognition of the 90th birthday of Professor Vladimir Ivanovich Zubov (1930–2000). This selection of papers reflects the wide-ranging nature of V. I. Zubov’s work, which included contributions to the development of the qualitative theory of differential equations, the theory of rigid body motion, optimal control theory, and the theory of electromagnetic fields. It helps to advance many aspects of the theory of control systems, including questions of motion stability, nonlinear oscillations in control systems, navigation and reliability of control devices, vibration theory, and quantization of orbits. The disparate applications covered by the book – in mechanical systems, game theory, solid-state physics, socio-economic systems and medical and biological systems, control automata and navigation – are developments from Professor Zubov’s in-depth studies on the theory of stability of motion, the theory of automatic control and the theory of the motions of optimal processes. Stability and Control Processes presents research continuing the legacy of V. I. Zubov and updates it with sections focused on intelligence-based control. These proceedings will be of interest to academics, professionals working in industry and researchers alike.



Fractional Thermoelasticity


Fractional Thermoelasticity
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Author : Yuriy Povstenko
language : en
Publisher: Springer Nature
Release Date : 2024-08-25

Fractional Thermoelasticity written by Yuriy Povstenko and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-25 with Science categories.


This new edition offers expanded coverage of fractional calculus, including Riemann–Liouville fractional integrals, Riemann–Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler and Wright functions. Additionally, it provides a comprehensive examination of fractional heat conduction and related theories of thermoelasticity. Readers will gain insights into the concepts of time and space nonlocality and their impact on the generalizations of Fourier's law in thermoelasticity. This edition presents a detailed formulation of the problem of heat conduction in different domains and the associated thermal stresses, covering topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem. New insights into time-harmonic heat impact on the boundary have also been added. Cracks in the framework of fractional thermoelasticity are also considered.



Fractional Order Systems


Fractional Order Systems
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Author : Ivo Petráš
language : en
Publisher: MDPI
Release Date : 2019-10-29

Fractional Order Systems written by Ivo Petráš and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-29 with Mathematics categories.


This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L’Hospital. Nowadays, fractional calculus has a wide area of applications in areas such as physics, chemistry, bioengineering, chaos theory, control systems engineering, and many others. In all those applications, we deal with fractional order systems in general. Moreover, fractional calculus plays an important role even in complex systems and therefore allows us to develop better descriptions of real-world phenomena. On that basis, fractional order systems are ubiquitous, as the whole real world around us is fractional. Due to this reason, it is urgent to consider almost all systems as fractional order systems. This Special Issue explores applications of such systems to control, synchronization, and various mathematical models, as for instance, MRI, long memory process, diffusion.



Vascular Biomechanics


Vascular Biomechanics
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Author : T. Christian Gasser
language : en
Publisher: Springer Nature
Release Date : 2022-02-14

Vascular Biomechanics written by T. Christian Gasser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-14 with Sports & Recreation categories.


This textbook serves as a modern introduction to vascular biomechanics and provides the comprehensive overview of the entire vascular system that is needed to run successful vascular biomechanics simulations. It aims to provide the reader with a holistic analysis of the vascular system towards its biomechanical description and includes numerous fully through-calculated examples. Various topics covered include vascular system descriptions, vascular exchange, blood vessel mechanics, vessel tissue characterization, blood flow mechanics, and vascular tissue growth and remodeling. This textbook is ideally suited for students and researchers studying and working in classical and computational vascular biomechanics. The book could also be of interest to developers of vascular devices and experts working with the regulatory approval of biomedical simulations. Follows the principle of “learning by doing” and provides numerous fully through-calculated examples for active learning, immediate recall, and self-examination; Provides a holistic understanding of vascular functioning and the integration of information from different disciplines to enable students to use sophisticated numerical methods to simulate the response of the vascular system; Includes several case studies that integrate the presented material. Case studies address problems, such as the biomechanical rupture risk assessment of Abdominal Aortic Aneurysms, Finite Element analysis of structural and blood flow problems, the computation of wall stress and wall shear stress in the aorta.



Mathematical Modelling Of The Human Cardiovascular System


Mathematical Modelling Of The Human Cardiovascular System
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Author : Alfio Quarteroni
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-09

Mathematical Modelling Of The Human Cardiovascular System written by Alfio Quarteroni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-09 with Mathematics categories.


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



A Celebration Of The Edge Program S Impact On The Mathematics Community And Beyond


A Celebration Of The Edge Program S Impact On The Mathematics Community And Beyond
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Author : Susan D'Agostino
language : en
Publisher: Springer Nature
Release Date : 2019-08-31

A Celebration Of The Edge Program S Impact On The Mathematics Community And Beyond written by Susan D'Agostino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-31 with Mathematics categories.


The Enhancing Diversity in Graduate Education (EDGE) Program began twenty years ago to provide support for women entering doctoral programs in the mathematical sciences. With a steadfast commitment to diversity among participants, faculty, and staff, EDGE initially alternated between Bryn Mawr and Spelman Colleges. In later years, EDGE has been hosted on campuses around the nation and expanded to offer support for women throughout their graduate school and professional careers. The refereed papers in A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond range from short memoirs, to pedagogical studies, to current mathematics research. All papers are written by former EDGE participants, mentors, instructors, directors, and others connected to EDGE. Together, these papers offer compelling testimony that EDGE has produced a diverse new generation of leaders in the mathematics community. This volume contains technical and non-technical works, and it is intended for a far-reaching audience, including mathematicians, mathematics teachers, diversity officers, university administrators, government employees writing educational or science policy, and mathematics students at the high school, college, and graduate levels. By highlighting the scope of the work done by those supported by EDGE, the volume offers strong evidence of the American Mathematical Society’s recognition that EDGE is "a program that makes a difference.” This volume offers unique testimony that a 20-year old summer program has expanded its reach beyond the summer experience to produce a diverse new generation of women leaders, nearly half of whom are underrepresented women. While some books with a women-in-math theme focus only on one topic such as research or work-life balance, this book's broad scope includes papers on mathematics research, teaching, outreach, and career paths.



Personalized Computational Hemodynamics


Personalized Computational Hemodynamics
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Author : Yuri Vassilevski
language : en
Publisher: Academic Press
Release Date : 2020-04-19

Personalized Computational Hemodynamics written by Yuri Vassilevski and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-19 with Science categories.


Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy offers practices and advances surrounding the multiscale modeling of hemodynamics and their personalization with conventional clinical data. Focusing on three physiological disciplines, readers will learn how to derive a suitable mathematical model and personalize its parameters to account for pathologies and diseases. Written by leading experts, this book mirrors the top trends in mathematical modeling with clinical applications. In addition, the book features the major results of the "Research group in simulation of blood flow and vascular pathologies" at the Institute of Numerical Mathematics of the Russian Academy of Sciences. Two important features distinguish this book from other monographs on numerical methods for biomedical applications. First, the variety of medical disciplines targeted by the mathematical modeling and computer simulations, including cardiology, vascular neurology and oncology. Second, for all mathematical models, the authors consider extensions and parameter tuning that account for vascular pathologies. - Examines a variety of medical disciplines targeted by mathematical modeling and computer simulation - Discusses how the results of numerical simulations are used to support clinical decision-making - Covers hemodynamics relating to various subject areas, including vascular surgery and oncological tumor treatments



Non Newtonian Fluid Mechanics And Complex Flows


Non Newtonian Fluid Mechanics And Complex Flows
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Author : Angiolo Farina
language : en
Publisher: Springer
Release Date : 2018-06-25

Non Newtonian Fluid Mechanics And Complex Flows written by Angiolo Farina and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-25 with Mathematics categories.


This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.



Basic And Bedside Electrocardiography


Basic And Bedside Electrocardiography
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Author : Romulo F. Baltazar
language : en
Publisher: Lippincott Williams & Wilkins
Release Date : 2012-03-28

Basic And Bedside Electrocardiography written by Romulo F. Baltazar and has been published by Lippincott Williams & Wilkins this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-28 with Medical categories.


Basic and Bedside Electrocardiography is the first book to integrate the basics of ECG interpretation with the most recent clinical guidelines for treating patients with ECG abnormalities. Each concise, bulleted chapter discusses a disease state, gives many tracings as examples, provides clear illustrations of pathophysiology, and offers guidelines for diagnosis and treatment of specific entities. More than 600 illustrations aid readers in recognizing commonly encountered ECG abnormalities. Diagrammatic illustrations at the end of most chapters summarize the different ECG abnormalities discussed, to help readers recognize the different arrhythmias more easily. An appendix provides quick-reference information on commonly used intravenous agents.