Mathematical Modelling Of The Glucose Insulin System

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Personalized Predictive Modeling in Type 1 Diabetes

Author : Eleni I. Georga
Publisher : Academic Press
ISBN 13 : 0128051469
Total Pages : 253 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Personalized Predictive Modeling in Type 1 Diabetes by : Eleni I. Georga

Download or read book Personalized Predictive Modeling in Type 1 Diabetes written by Eleni I. Georga and published by Academic Press. This book was released on 2017-12-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Personalized Predictive Modeling in Diabetes features state-of-the-art methodologies and algorithmic approaches which have been applied to predictive modeling of glucose concentration, ranging from simple autoregressive models of the CGM time series to multivariate nonlinear regression techniques of machine learning. Developments in the field have been analyzed with respect to: (i) feature set (univariate or multivariate), (ii) regression technique (linear or non-linear), (iii) learning mechanism (batch or sequential), (iv) development and testing procedure and (v) scaling properties. In addition, simulation models of meal-derived glucose absorption and insulin dynamics and kinetics are covered, as an integral part of glucose predictive models. This book will help engineers and clinicians to: select a regression technique which can capture both linear and non-linear dynamics in glucose metabolism in diabetes, and which exhibits good generalization performance under stationary and non-stationary conditions; ensure the scalability of the optimization algorithm (learning mechanism) with respect to the size of the dataset, provided that multiple days of patient monitoring are needed to obtain a reliable predictive model; select a features set which efficiently represents both spatial and temporal dependencies between the input variables and the glucose concentration; select simulation models of subcutaneous insulin absorption and meal absorption; identify an appropriate validation procedure, and identify realistic performance measures. Describes fundamentals of modeling techniques as applied to glucose control Covers model selection process and model validation Offers computer code on a companion website to show implementation of models and algorithms Features the latest developments in the field of diabetes predictive modeling

Textbook of Diabetes

Author : Richard I. G. Holt
Publisher : John Wiley & Sons
ISBN 13 : 1118912020
Total Pages : 1104 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Textbook of Diabetes by : Richard I. G. Holt

Download or read book Textbook of Diabetes written by Richard I. G. Holt and published by John Wiley & Sons. This book was released on 2017-03-06 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fifth edition, the Textbook of Diabetes has established itself as the modern, well-illustrated, international guide to diabetes. Sensibly organized and easy to navigate, with exceptional illustrations, the Textbook hosts an unrivalled blend of clinical and scientific content. Highly-experienced editors from across the globe assemble an outstanding set of international contributors who provide insight on new developments in diabetes care and information on the latest treatment modalities used around the world. The fifth edition features an array of brand new chapters, on topics including: Ischaemic Heart Disease Glucagon in Islet Regulation Microbiome and Diabetes Diabetes and Non-Alcoholic Fatty Liver Disease Diabetes and Cancer End of Life Care in Diabetes as well as a new section on Psychosocial aspects of diabetes. In addition, all existing chapters are fully revised with the very latest developments, including the most recent guidelines from the ADA, EASD, DUK and NICE. Includes free access to the Wiley Digital Edition providing search across the book, the full reference list with web links, illustrations and photographs, and post-publication updates Via the companion website, readers can access a host of additional online materials such as: 200 interactive MCQ's to allow readers to self-assess their clinical knowledge every figure from the book, available to download into presentations fully searchable chapter pdfs Once again, Textbook of Diabetes provides endocrinologists and diabetologists with a fresh, comprehensive and multi-media clinical resource to consult time and time again.

2019-20 MATRIX Annals

Author : Jan de Gier
Publisher : Springer Nature
ISBN 13 : 3030624978
Total Pages : 798 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis 2019-20 MATRIX Annals by : Jan de Gier

Download or read book 2019-20 MATRIX Annals written by Jan de Gier and published by Springer Nature. This book was released on 2021-02-10 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.

Disease Prevention and Health Promotion in Developing Countries

Author : Abdesslam Boutayeb
Publisher : Springer Nature
ISBN 13 : 3030347028
Total Pages : 273 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Disease Prevention and Health Promotion in Developing Countries by : Abdesslam Boutayeb

Download or read book Disease Prevention and Health Promotion in Developing Countries written by Abdesslam Boutayeb and published by Springer Nature. This book was released on 2020-01-02 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together two important discussions in public health in developing countries: an understanding of the burden of disease, health equity and social determinants of health; and biomathematical models, epidemiological studies and estimation of the direct and indirect cost of disease. The empirical chapters in the first part discuss aspects of disease prevention and health promotion in developing countries, with a particular focus on countries that are part of the World Health Organization’s Eastern Mediterranean Region and the African Region. Health equity and social determinants of health constitute a cornerstone of this book, with the widespread recognition that addressing the social determinants of health is crucial not only for improving general health but importantly for reducing unfair and remediable health inequalities. Using mathematical models, epidemiological studies and statistical estimation of costs, the second part of this book shows the opportunities that exist for developing countries to prevent disease and promote health by adopting cost-effective strategies and cost–benefit analyses.

MATLAB Guide

Author : Desmond J. Higham
Publisher : SIAM
ISBN 13 : 1611974658
Total Pages : 485 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis MATLAB Guide by : Desmond J. Higham

Download or read book MATLAB Guide written by Desmond J. Higham and published by SIAM. This book was released on 2016-12-27 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easy-to-use editing and debugging tools. This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 30 percent longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox. Key features are a tutorial in Chapter 1 that gives a hands-on overview of MATLAB; a thorough treatment of MATLAB mathematics, including the linear algebra and numerical analysis functions and the differential equation solvers; and a web page at http://www.siam.org/books/ot150 that provides example program files, updates, and links to MATLAB resources. The new edition contains color figures throughout; includes pithy discussions of related topics in new ?Asides" boxes that augment the text; has new chapters on the Parallel Computing Toolbox, object-oriented programming, graphs, and large data sets; covers important new MATLAB data types such as categorical arrays, string arrays, tall arrays, tables, and timetables; contains more on MATLAB workflow, including the Live Editor and unit tests; and fully reflects major updates to the MATLAB graphics system. This book is suitable for both beginners and more experienced users, including students, researchers, and practitioners.

Modelling Methodology for Physiology and Medicine

Author : Ewart Carson
Publisher : Elsevier
ISBN 13 : 0080511902
Total Pages : 437 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modelling Methodology for Physiology and Medicine by : Ewart Carson

Download or read book Modelling Methodology for Physiology and Medicine written by Ewart Carson and published by Elsevier. This book was released on 2000-12-31 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling Methodology for Physiology and Medicine offers a unique approach and an unprecedented range of coverage of the state-of-the-art, advanced modelling methodology that is widely applicable to physiology and medicine. The book opens with a clear and integrated treatment of advanced methodology for developing mathematical models of physiology and medical systems. Readers are then shown how to apply this methodology beneficially to real-world problems in physiology and medicine, such as circulation and respiration. - Builds upon and enhances the readers existing knowledge of modelling methodology and practice - Editors are internationally renowned leaders in their respective fields

Introduction to Modeling in Physiology and Medicine

Author : Claudio Cobelli
Publisher : Elsevier
ISBN 13 : 0080559980
Total Pages : 337 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Introduction to Modeling in Physiology and Medicine by : Claudio Cobelli

Download or read book Introduction to Modeling in Physiology and Medicine written by Claudio Cobelli and published by Elsevier. This book was released on 2008-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unified modeling textbook for students of biomedical engineering provides a complete course text on the foundations, theory and practice of modeling and simulation in physiology and medicine. It is dedicated to the needs of biomedical engineering and clinical students, supported by applied BME applications and examples. Developed for biomedical engineering and related courses: speaks to BME students at a level and in a language appropriate to their needs, with an interdisciplinary clinical/engineering approach, quantitative basis, and many applied examples to enhance learning Delivers a quantitative approach to modeling and also covers simulation: the perfect foundation text for studies across BME and medicine Extensive case studies and engineering applications from BME, plus end-of-chapter exercises

Investigating Biological Systems Using Modeling

Author : Meryl E. Wastney
Publisher : Academic Press
ISBN 13 : 0080926452
Total Pages : 401 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Investigating Biological Systems Using Modeling by : Meryl E. Wastney

Download or read book Investigating Biological Systems Using Modeling written by Meryl E. Wastney and published by Academic Press. This book was released on 2012-12-02 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigating Biological Systems Using Modeling describes how to apply software to analyze and interpret data from biological systems. It is written for students and investigators in lay person's terms, and will be a useful reference book and textbook on mathematical modeling in the design and interpretation of kinetic studies of biological systems. It describes the mathematical techniques of modeling and kinetic theory, and focuses on practical examples of analyzing data. The book also uses examples from the fields of physiology, biochemistry, nutrition, agriculture, pharmacology, and medicine. Contains practical descriptions of how to analyze kinetic data Provides examples of how to develop and use models Describes several software packages including SAAM/CONSAM Includes software with working models

Closed-Loop Control of Blood Glucose

Author : Frederick Chee
Publisher : Springer
ISBN 13 : 3540740317
Total Pages : 167 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Closed-Loop Control of Blood Glucose by : Frederick Chee

Download or read book Closed-Loop Control of Blood Glucose written by Frederick Chee and published by Springer. This book was released on 2007-10-24 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents closed-loop blood glucose control in a simple manner, which includes the hardware and "software" components that make up the control system. It provides examples on how mathematical models are formulated as well as the control algorithms that stem from mathematical exercises. The book also describes the basic physiology of blood glucose regulation during fasting and meal from a functional level.

Modeling Life

Author : Alan Garfinkel
Publisher : Springer
ISBN 13 : 3319597310
Total Pages : 456 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Modeling Life by : Alan Garfinkel

Download or read book Modeling Life written by Alan Garfinkel and published by Springer. This book was released on 2017-09-06 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?

A Treatise on the Stability of a Given State of Motion

Author : Edward John Routh
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A Treatise on the Stability of a Given State of Motion by : Edward John Routh

Download or read book A Treatise on the Stability of a Given State of Motion written by Edward John Routh and published by . This book was released on 1877 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulating, Analyzing, and Animating Dynamical Systems

Author : Bard Ermentrout
Publisher : SIAM
ISBN 13 : 0898715067
Total Pages : 298 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Simulating, Analyzing, and Animating Dynamical Systems by : Bard Ermentrout

Download or read book Simulating, Analyzing, and Animating Dynamical Systems written by Bard Ermentrout and published by SIAM. This book was released on 2002-01-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students provides sophisticated numerical methods for the fast and accurate solution of a variety of equations, including ordinary differential equations, delay equations, integral equations, functional equations, and some partial differential equations, as well as boundary value problems. It introduces many modeling techniques and methods for analyzing the resulting equations. Instructors, students, and researchers will all benefit from this book, which demonstrates how to use software tools to simulate and study sets of equations that arise in a variety of applications. Instructors will learn how to use computer software in their differential equations and modeling classes, while students will learn how to create animations of their equations that can be displayed on the World Wide Web. Researchers will be introduced to useful tricks that will allow them to take full advantage of XPPAUT's capabilities.

The Mathematical Modeling of Metabolic and Endocrine Systems

Author : Ewart R. Carson
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Mathematical Modeling of Metabolic and Endocrine Systems by : Ewart R. Carson

Download or read book The Mathematical Modeling of Metabolic and Endocrine Systems written by Ewart R. Carson and published by . This book was released on 1983-02-25 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the concepts, methods and techniques of model formulation, identification, and validation as applicable to metabolic and endocrine processes. Shows how modeling can be used to provide a concise description of complex dynamic processes, to test hypotheses concerning physiological and biochemical structure, and to estimate physiological quantities (parameters) that otherwise would not be directly accessible to measurement. Includes numerous examples and case studies.

Modeling and Simulation in Python

Author : Allen B. Downey
Publisher : No Starch Press
ISBN 13 : 1718502176
Total Pages : 277 pages
Book Rating : 4.7/5 (185 download)

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Book Synopsis Modeling and Simulation in Python by : Allen B. Downey

Download or read book Modeling and Simulation in Python written by Allen B. Downey and published by No Starch Press. This book was released on 2023-05-30 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling and Simulation in Python teaches readers how to analyze real-world scenarios using the Python programming language, requiring no more than a background in high school math. Modeling and Simulation in Python is a thorough but easy-to-follow introduction to physical modeling—that is, the art of describing and simulating real-world systems. Readers are guided through modeling things like world population growth, infectious disease, bungee jumping, baseball flight trajectories, celestial mechanics, and more while simultaneously developing a strong understanding of fundamental programming concepts like loops, vectors, and functions. Clear and concise, with a focus on learning by doing, the author spares the reader abstract, theoretical complexities and gets right to hands-on examples that show how to produce useful models and simulations.

Mathematical Physiology

Author : James Keener
Publisher : Springer Science & Business Media
ISBN 13 : 038775847X
Total Pages : 1067 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematical Physiology by : James Keener

Download or read book Mathematical Physiology written by James Keener and published by Springer Science & Business Media. This book was released on 2010-06-04 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divided into two volumes, the book begins with a pedagogical presentation of some of the basic theory, with chapters on biochemical reactions, diffusion, excitability, wave propagation and cellular homeostasis. The second, more extensive part discusses particular physiological systems, with chapters on calcium dynamics, bursting oscillations and secretion, cardiac cells, muscles, intercellular communication, the circulatory system, the immune system, wound healing, the respiratory system, the visual system, hormone physiology, renal physiology, digestion, the visual system and hearing. New chapters on Calcium Dynamics, Neuroendocrine Cells and Regulation of Cell Function have been included. Reviews from first edition: Keener and Sneyd's Mathematical Physiology is the first comprehensive text of its kind that deals exclusively with the interplay between mathematics and physiology. Writing a book like this is an audacious act! -Society of Mathematical Biology Keener and Sneyd's is unique in that it attempts to present one of the most important subfields of biology and medicine, physiology, in terms of mathematical "language", rather than organizing materials around mathematical methodology. -SIAM review

Optimal Control Applied to Biological Models

Author : Suzanne Lenhart
Publisher : CRC Press
ISBN 13 : 1420011413
Total Pages : 272 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Optimal Control Applied to Biological Models by : Suzanne Lenhart

Download or read book Optimal Control Applied to Biological Models written by Suzanne Lenhart and published by CRC Press. This book was released on 2007-05-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into t

Fractional Operators with Constant and Variable Order with Application to Geo-hydrology

Author : Abdon Atangana
Publisher : Academic Press
ISBN 13 : 0128097965
Total Pages : 416 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fractional Operators with Constant and Variable Order with Application to Geo-hydrology by : Abdon Atangana

Download or read book Fractional Operators with Constant and Variable Order with Application to Geo-hydrology written by Abdon Atangana and published by Academic Press. This book was released on 2017-09-19 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional Operators with Constant and Variable Order with Application to Geo-hydrology provides a physical review of fractional operators, fractional variable order operators, and uncertain derivatives to groundwater flow and environmental remediation. It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed. Based on the author's analyses, the book proposes new techniques for groundwater remediation, including guidelines on how chemical companies can be positioned in any city to avoid groundwater pollution. - Proposes new aquifer derivatives for leaky, confined and unconfined formations - Presents useful aids for applied scientists and engineers seeking to solve complex problems that cannot be handled using constant fractional order derivatives - Provides a real physical interpretation of operators relevant to groundwater flow problems - Models both fractional and variable order derivatives, presented together with uncertainties analysis