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Author : Eugene Ackerman
Publisher : U of Minnesota Press
ISBN 13 : 1452910804
Total Pages : 373 pages
Book Rating : 4.4/5 (529 download)
Download or read book Mathematical Models in the Health Sciences written by Eugene Ackerman and published by U of Minnesota Press. This book was released on 1979 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene Ackerman
Publisher :
ISBN 13 : 9780816668267
Total Pages : 372 pages
Book Rating : 4.6/5 (682 download)
Download or read book Mathematical Models in the Health Sciences written by Eugene Ackerman and published by . This book was released on 1979-11-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in the Health Sciences was first published in 1979.This book, designed especially for use in graduate courses in the health sciences, will be useful also as a reference work for scientists in various disciplines. It provides an introduction to mathematical modeling through the use of selected examples from the health sciences. Where appropriate, computer techniques are discussed and illustrated with examples drawn from studies by the authors and their colleagues. An introductory chapter discusses mathematical models and their roles in biomedical research. The rest of the material is divided in three sections of four chapters each: Deterministic Models, Time Series Analysis, and Information and Simulation. A bibliography accompanies each chapter. In their conclusion the authors place mathematical biology and its techniques in perspective.
Author : Mary Ann Horn
Publisher :
ISBN 13 : 9780826513106
Total Pages : 0 pages
Book Rating : 4.5/5 (131 download)
Download or read book Mathematical Models in Medical and Health Science written by Mary Ann Horn and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique assemblage of cutting-edge research on mathematical models in biology and medicine. This book is composed of refereed and carefully edited research articles derived from the Conference on Mathematical Models in Medical and Health Sciences, held at Vanderbilt University in conjunction with the thirteenth annual Shanks Lectures Series (May 1997).
Author : Janet A. Novotny
Publisher : Springer Science & Business Media
ISBN 13 : 1441990194
Total Pages : 420 pages
Book Rating : 4.4/5 (419 download)
Download or read book Mathematical Modeling in Nutrition and the Health Sciences written by Janet A. Novotny and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.
Author : John A. Sokolowski
Publisher : John Wiley & Sons
ISBN 13 : 1118003195
Total Pages : 270 pages
Book Rating : 4.1/5 (18 download)
Download or read book Modeling and Simulation in the Medical and Health Sciences written by John A. Sokolowski and published by John Wiley & Sons. This book was released on 2012-01-25 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is divided into three parts: Fundamentals of Medical and Health Sciences Modeling and Simulation introduces modeling and simulation in the medical and health sciences; Medical and Health Sciences Models provides the theoretical underpinnings of medical and health sciences modeling; and Modeling and Simulation Applications in Medical and Health Sciences focuses on teaching, training, and research applications. The book begins with a general discussion of modeling and simulation from the modeling and simulation discipline perspective. This discussion grounds the reader in common terminology. It also relates this terminology to concepts found in the medical and health care (MHC) area to help bridge the gap between developers and MHC practitioners. Three distinct modes of modeling and simulation are described: live, constructive, and virtual. The live approach explains the concept of using real (live) people employing real equipment for training purposes. The constructive mode is a means of engaging medical modeling and simulation. In constructive simulation, simulated people and simulated equipment are developed to augment real-world conditions for training or experimentation purposes. The virtual mode is perhaps the most fascinating as virtual operating rooms and synthetic training environments are being produced for practitioners and educators at break-neck speed. In this mode, real people are employing simulated equipment to improve physical skills and decision-making ability.
Author : John A. Sokolowski
Publisher : Wiley
ISBN 13 : 9780470769478
Total Pages : 228 pages
Book Rating : 4.7/5 (694 download)
Download or read book Modeling and Simulation in the Medical and Health Sciences written by John A. Sokolowski and published by Wiley. This book was released on 2011-06-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited book is divided into three parts: Fundamentals of Medical and Health Sciences Modeling and Simulation introduces modeling and simulation in the medical and health sciences; Medical and Health Sciences Models provides the theoretical underpinnings of medical and health sciences modeling; and Modeling and Simulation Applications in Medical and Health Sciences focuses on teaching, training, and research applications. The book begins with a general discussion of modeling and simulation from the modeling and simulation discipline perspective. This discussion grounds the reader in common terminology. It also relates this terminology to concepts found in the medical and health care (MHC) area to help bridge the gap between developers and MHC practitioners. Three distinct modes of modeling and simulation are described: live, constructive, and virtual. The live approach explains the concept of using real (live) people employing real equipment for training purposes. The constructive mode is a means of engaging medical modeling and simulation. In constructive simulation, simulated people and simulated equipment are developed to augment real-world conditions for training or experimentation purposes. The virtual mode is perhaps the most fascinating as virtual operating rooms and synthetic training environments are being produced for practitioners and educators at break-neck speed. In this mode, real people are employing simulated equipment to improve physical skills and decision-making ability.
Author : Hemen Dutta
Publisher : Springer Nature
ISBN 13 : 9811522863
Total Pages : 325 pages
Book Rating : 4.8/5 (115 download)
Download or read book Mathematical Modelling in Health, Social and Applied Sciences written by Hemen Dutta and published by Springer Nature. This book was released on 2020-02-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable.
Author : Johnny T. Ottesen
Publisher : IOS Press
ISBN 13 : 9781586030261
Total Pages : 248 pages
Book Rating : 4.0/5 (32 download)
Download or read book Mathematical Modelling in Medicine written by Johnny T. Ottesen and published by IOS Press. This book was released on 2000 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Olav Arnfinn Laudal
Publisher : World Scientific
ISBN 13 : 1800610297
Total Pages : 319 pages
Book Rating : 4.8/5 (6 download)
Download or read book Mathematical Models In Science written by Olav Arnfinn Laudal and published by World Scientific. This book was released on 2021-06-16 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.
Author : Edward A. Bender
Publisher : Courier Corporation
ISBN 13 : 0486137120
Total Pages : 273 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender and published by Courier Corporation. This book was released on 2012-05-23 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Author : Brian P. Ingalls
Publisher : MIT Press
ISBN 13 : 0262545829
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)
Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls and published by MIT Press. This book was released on 2022-06-07 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.
Author : Roger J. Hosking
Publisher : Springer Science & Business Media
ISBN 13 : 376438591X
Total Pages : 375 pages
Book Rating : 4.7/5 (643 download)
Download or read book Aspects of Mathematical Modelling written by Roger J. Hosking and published by Springer Science & Business Media. This book was released on 2008-03-02 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
Author : Shah, Nita H.
Publisher : IGI Global
ISBN 13 : 1799837424
Total Pages : 316 pages
Book Rating : 4.7/5 (998 download)
Download or read book Mathematical Models of Infectious Diseases and Social Issues written by Shah, Nita H. and published by IGI Global. This book was released on 2020-06-26 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: When deadly illness spreads through a population at a rapid pace, time may be of the essence in order to save lives. Using mathematics as a language to interpret assumptions concerning the biological and population mechanics, one can make predictions by analyzing actual epidemiological data using mathematical tests and results. Mathematical models can help us understand the right disease status and predict the effects of the disease on populations, which can help limit the spread and devastation of the illness. Mathematical Models of Infectious Diseases and Social Issues is a collection of innovative research that examines the dynamics of diseases and their effect on populations. Featuring coverage of a broad range of topics including deterministic models, environmental pollution, and social issues, this book is ideally designed for diagnosticians, clinicians, healthcare providers, pharmacists, government health officials, policymakers, academicians, researchers, and students.
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821849697
Total Pages : 238 pages
Book Rating : 4.8/5 (218 download)
Download or read book Modelling in Healthcare written by and published by American Mathematical Soc.. This book was released on 2010 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: A model is a simplified representation of a real-world situation used to help answer a specific question. This book provides a look into the world of modelling with the focus on modelling in healthcare.--[from preface]
Author : V. Kumar Murty
Publisher : Springer Nature
ISBN 13 : 3030850536
Total Pages : 349 pages
Book Rating : 4.0/5 (38 download)
Download or read book Mathematics of Public Health written by V. Kumar Murty and published by Springer Nature. This book was released on 2022-02-08 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic. A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to support decision makers on critical issues such as projecting outbreak trajectories, evaluating public health interventions for infection prevention and control, developing optimal strategies to return to a new normal, and designing vaccine candidates and informing mass immunization program. Topical coverage includes: basic susceptible-exposed-infectious-recovered (SEIR) modelling framework modified and applied to COVID-19 disease transmission dynamics; nearcasting and forecasting for needs of critical medical resources including personal protective equipment (PPE); predicting COVID-19 mortality; evaluating effectiveness of convalescent plasma treatment and the logistic implementation challenges; estimating impact of delays in contact tracing; quantifying heterogeneity in contact mixing and its evaluation with social distancing; modelling point of care diagnostics of COVID-19; and understanding non-reporting and underestimation. Further, readers will have the opportunity to learn about current modelling methodologies and technologies for emerging infectious disease outbreaks, pandemic mitigation rapid response, and the mathematics behind them. The volume will help the general audience and experts to better understand the important role that mathematics has been playing during this on-going crisis in supporting critical decision-making by governments and public health agencies.
Author : J. Caldwell
Publisher : Springer Science & Business Media
ISBN 13 : 1402019939
Total Pages : 253 pages
Book Rating : 4.4/5 (2 download)
Download or read book Mathematical Modelling written by J. Caldwell and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.
Author : Ismael Herrera
Publisher : John Wiley & Sons
ISBN 13 : 1118207203
Total Pages : 259 pages
Book Rating : 4.1/5 (182 download)
Download or read book Mathematical Modeling in Science and Engineering written by Ismael Herrera and published by John Wiley & Sons. This book was released on 2012-03-19 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.
