Hemomath

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Hemomath

Author : Antonio Fasano
Publisher : Springer
ISBN 13 : 3319605135
Total Pages : 352 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Hemomath by : Antonio Fasano

Download or read book Hemomath written by Antonio Fasano and published by Springer. This book was released on 2017-10-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Modelling of the Human Cardiovascular System

Author : Alfio Quarteroni
Publisher : Cambridge University Press
ISBN 13 : 110848039X
Total Pages : 291 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Mathematical Modelling of the Human Cardiovascular System by : Alfio Quarteroni

Download or read book Mathematical Modelling of the Human Cardiovascular System written by Alfio Quarteroni and published by Cambridge University Press. This book was released on 2019-05-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.

Fractional Thermoelasticity

Author : Yuriy Povstenko
Publisher : Springer Nature
ISBN 13 : 3031645871
Total Pages : 457 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Fractional Thermoelasticity by : Yuriy Povstenko

Download or read book Fractional Thermoelasticity written by Yuriy Povstenko and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond

Author : Susan D'Agostino
Publisher : Springer Nature
ISBN 13 : 3030194868
Total Pages : 390 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond by : Susan D'Agostino

Download or read book A Celebration of the EDGE Program’s Impact on the Mathematics Community and Beyond written by Susan D'Agostino and published by Springer Nature. This book was released on 2019-08-31 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Vascular Biomechanics

Author : T. Christian Gasser
Publisher : Springer Nature
ISBN 13 : 3030709663
Total Pages : 622 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Vascular Biomechanics by : T. Christian Gasser

Download or read book Vascular Biomechanics written by T. Christian Gasser and published by Springer Nature. This book was released on 2022-02-14 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stability and Control Processes

Author : Nikolay Smirnov
Publisher : Springer Nature
ISBN 13 : 3030879666
Total Pages : 886 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stability and Control Processes by : Nikolay Smirnov

Download or read book Stability and Control Processes written by Nikolay Smirnov and published by Springer Nature. This book was released on 2022-03-15 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Order Systems

Author : Ivo Petráš
Publisher : MDPI
ISBN 13 : 3039216082
Total Pages : 114 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Fractional Order Systems by : Ivo Petráš

Download or read book Fractional Order Systems written by Ivo Petráš and published by MDPI. This book was released on 2019-10-29 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Personalized Computational Hemodynamics

Author : Yuri Vassilevski
Publisher : Academic Press
ISBN 13 : 0128156546
Total Pages : 282 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Personalized Computational Hemodynamics by : Yuri Vassilevski

Download or read book Personalized Computational Hemodynamics written by Yuri Vassilevski and published by Academic Press. This book was released on 2020-04-19 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Angiolo Farina
Publisher : Springer
ISBN 13 : 3319747967
Total Pages : 300 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Non-Newtonian Fluid Mechanics and Complex Flows by : Angiolo Farina

Download or read book Non-Newtonian Fluid Mechanics and Complex Flows written by Angiolo Farina and published by Springer. This book was released on 2018-06-25 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Modeling Biological Cellular Control Systems

Author : Weijiu Liu
Publisher : Springer Science & Business Media
ISBN 13 : 8847024900
Total Pages : 275 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Introduction to Modeling Biological Cellular Control Systems by : Weijiu Liu

Download or read book Introduction to Modeling Biological Cellular Control Systems written by Weijiu Liu and published by Springer Science & Business Media. This book was released on 2012-04-26 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLAB to solve a model numerically, how to do computer simulations, and how to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model.

Numerical Models for Differential Problems

Author : Alfio Quarteroni
Publisher : Springer Science & Business
ISBN 13 : 8847055229
Total Pages : 668 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Numerical Models for Differential Problems by : Alfio Quarteroni

Download or read book Numerical Models for Differential Problems written by Alfio Quarteroni and published by Springer Science & Business. This book was released on 2014-04-25 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

Basic and Bedside Electrocardiography

Author : Romulo F. Baltazar
Publisher : Lippincott Williams & Wilkins
ISBN 13 : 1451147910
Total Pages : 468 pages
Book Rating : 4.4/5 (511 download)

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Book Synopsis Basic and Bedside Electrocardiography by : Romulo F. Baltazar

Download or read book Basic and Bedside Electrocardiography written by Romulo F. Baltazar and published by Lippincott Williams & Wilkins. This book was released on 2012-03-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Blood Science

Author : Andrew Blann
Publisher : John Wiley & Sons
ISBN 13 : 1118351428
Total Pages : 866 pages
Book Rating : 4.1/5 (183 download)

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Book Synopsis Blood Science by : Andrew Blann

Download or read book Blood Science written by Andrew Blann and published by John Wiley & Sons. This book was released on 2014-01-02 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Blood Science is a relatively new discipline which merges biochemistry, haematology, immunology, transfusion science and genetics. This bringing together of traditional disciplines requires a corresponding change in education and training for healthcare scientists and Blood Science: Principles and Pathology is written in response to this emerging need. An introduction to the subject and an overview of the techniques used in blood science are followed by a series of chapters based on groups of analytes investigated in blood - red blood cells, white blood cells and platelets, followed by the constituents of plasma, including waste products, electrolytes, glucose, lipids, enzymes, hormones, nutrients, drugs, poisons and others. Each chapter is supported by learning objectives, summaries and further information, and a focus is given to chapter specific case studies with interpretation to demonstrate how laboratory data in conjunction with clinical details is utilised when investigating patients with actual or suspected disease. Finally, a separate chapter offers more detailed case reports that integrate the different aspects of blood science. Undergraduate students taking blood science modules as part of their BSc programmes in Biomedical and Healthcare Sciences will appreciate the level of integration between clinical biochemistry and haematology. In addition, this book will provide suitable initial reading for those students embarking on blood science modules on MSc programmes and will be of value to new graduates entering the profession and starting their career in blood science departments by supplementing practice-based training with the required theoretical underpinning. This book is approved by the Institute of Biomedical Science and written by its expert writers, many of whom work on the Institute’s advisory panels.

Mechanics of Mixtures

Author : Kumbakonam Ramamani Rajagopal
Publisher : World Scientific
ISBN 13 : 9810215851
Total Pages : 220 pages
Book Rating : 4.8/5 (12 download)

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Book Synopsis Mechanics of Mixtures by : Kumbakonam Ramamani Rajagopal

Download or read book Mechanics of Mixtures written by Kumbakonam Ramamani Rajagopal and published by World Scientific. This book was released on 1995 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.

Cardiovascular Mathematics

Author : Luca Formaggia
Publisher : Springer Science & Business Media
ISBN 13 : 8847011523
Total Pages : 528 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Cardiovascular Mathematics by : Luca Formaggia

Download or read book Cardiovascular Mathematics written by Luca Formaggia and published by Springer Science & Business Media. This book was released on 2010-06-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Navier—Stokes Equations and Related Nonlinear Problems

Author : Adélia Sequeira
Publisher : Springer Science & Business Media
ISBN 13 : 1489914153
Total Pages : 393 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Navier—Stokes Equations and Related Nonlinear Problems by : Adélia Sequeira

Download or read book Navier—Stokes Equations and Related Nonlinear Problems written by Adélia Sequeira and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. The conference was held in Funchal (Madeira, Portugal), on May 21-27, 1994. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon). This meeting, following two other successful events of similar type held in Thurnau (Germany) in 1992 and in Cento (Italy) in 1993, brought together, to the majestically beautiful island of Madeira, more than 60 specialists from all around the world, of which about two thirds were invited lecturers. The main interest of the meeting was focused on the mathematical analysis of nonlinear phenomena in fluid mechanics. During the conference, we noticed that this area seems to provide, today more than ever, challenging and increasingly important problems motivating the research of both theoretical and numerical analysts. This volume collects 32 articles selected from the invited lectures and contributed papers given during the conference. The main topics covered include: Flows in Unbounded Domains; Flows in Bounded Domains; Compressible Fluids; Free Boundary Problems; Non-Newtonian Fluids; Related Problems and Numerical Approximations. The contributions present original results or new surveys on recent developments, giving directions for future research. I express my gratitude to all the authors and I am glad to recognize the scientific level and the actual interest of the articles.

Fluid-Structure Interaction and Biomedical Applications

Author : Tomáš Bodnár
Publisher : Springer
ISBN 13 : 3034808224
Total Pages : 580 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fluid-Structure Interaction and Biomedical Applications by : Tomáš Bodnár

Download or read book Fluid-Structure Interaction and Biomedical Applications written by Tomáš Bodnár and published by Springer. This book was released on 2014-10-13 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI). Generally speaking, FSI is among the most popular and intriguing problems in applied sciences and includes industrial as well as biological applications. Various fundamental aspects of FSI are addressed from different perspectives, with a focus on biomedical applications. More specifically, the book presents a mathematical analysis of basic questions like the well-posedness of the relevant initial and boundary value problems, as well as the modeling and the numerical simulation of a number of fundamental phenomena related to human biology. These latter research topics include blood flow in arteries and veins, blood coagulation and speech modeling. We believe that the variety of the topics discussed, along with the different approaches used to address and solve the corresponding problems, will help readers to develop a more holistic view of the latest findings on the subject, and of the relevant open questions. For the same reason we expect the book to become a trusted companion for researchers from diverse disciplines, such as mathematics, physics, mathematical biology, bioengineering and medicine.