Mathematical Studies On Human Disease Dynamics

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Mathematical Studies on Human Disease Dynamics

Author : Abba B. Gumel
Publisher : American Mathematical Soc.
ISBN 13 : 0821837753
Total Pages : 406 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematical Studies on Human Disease Dynamics by : Abba B. Gumel

Download or read book Mathematical Studies on Human Disease Dynamics written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2006 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-SIAM-IMS Joint Summer Research Conference on Modeling the Dynamics of Human Diseases: Emerging Paradigms and Challenges, held in Snowbird, Utah, July 17-21, 2005. The goal of the conference was to bring together leading and upcoming researchers to discuss the latest advances and challenges associated with the modeling of the dynamics of emerging and re-emerging diseases, and to explore various control strategies. The articles included in this book are devoted to some of the significant recent advances, trends, and challenges associated with the mathematical modeling and analysis of the dynamics and control of some diseases of public health importance. In addition to illustrating many of the diverse prevailing epidemiological challenges, together with the diversity of mathematical approaches needed to address them, this book provides insights on a number of topical modeling issues such as the modeling and control of mosquito-borne diseases, respiratory diseases, animal diseases (such as foot-and-mouth disease), cancer and tumor growth modeling, influenza, HIV, HPV, rotavirus, etc. This book also touches upon other important topics such as the use of modeling i

Mathematical Tools for Understanding Infectious Disease Dynamics

Author : Odo Diekmann
Publisher : Princeton University Press
ISBN 13 : 0691155399
Total Pages : 516 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Mathematical Tools for Understanding Infectious Disease Dynamics by : Odo Diekmann

Download or read book Mathematical Tools for Understanding Infectious Disease Dynamics written by Odo Diekmann and published by Princeton University Press. This book was released on 2013 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.

Mathematical Understanding of Infectious Disease Dynamics

Author : Stefan Ma
Publisher : World Scientific
ISBN 13 : 9812834826
Total Pages : 240 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematical Understanding of Infectious Disease Dynamics by : Stefan Ma

Download or read book Mathematical Understanding of Infectious Disease Dynamics written by Stefan Ma and published by World Scientific. This book was released on 2009 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Original book with a comprehensive collection of many significant topics of the frontiers in applied presentation of many epidemic models with many real-life examples. presents an integration of interesting ideas from the well-mixed fields of statistics and mathematics. A valuable resource for researchers in wide range of disciplines to solve problems of practical interest.

Infectious Diseases of Humans

Author : Roy M. Anderson
Publisher : Oxford University Press
ISBN 13 : 9780198540403
Total Pages : 772 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Infectious Diseases of Humans by : Roy M. Anderson

Download or read book Infectious Diseases of Humans written by Roy M. Anderson and published by Oxford University Press. This book was released on 1991 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with infectious diseases -- viral, bacterial, protozoan and helminth -- in terms of the dynamics of their interaction with host populations. The book combines mathematical models with extensive use of epidemiological and other data. This analytic framework is highly useful for the evaluation of public health strategies aimed at controlling or eradicating particular infections. Such a framework is increasingly important in light of the widespread concern for primary health care programs aimed at such diseases as measles, malaria, river blindness, sleeping sickness, and schistosomiasis, and the advent of AIDS/HIV and other emerging viruses. Throughout the book, the mathematics is used as a tool for thinking clearly about fundamental and applied problems having to do with infectious diseases. The book is divided into two parts, one dealing with microparasites (viruses, bacteria and protozoans) and the other with macroparasites (helminths and parasitic arthropods). Each part begins with simple models, developed in a biologically intuitive way, and then goes on to develop more complicated and realistic models as tools for public health planning. The book synthesizes previous work in this rapidly growing field (much of which is scattered between the ecological and the medical literature) with a good deal of new material.

Dynamic Models of Infectious Diseases

Author : V. Sree Hari Rao
Publisher : Springer Science & Business Media
ISBN 13 : 1461492246
Total Pages : 269 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Dynamic Models of Infectious Diseases by : V. Sree Hari Rao

Download or read book Dynamic Models of Infectious Diseases written by V. Sree Hari Rao and published by Springer Science & Business Media. This book was released on 2013-11-30 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though great advances in public health are witnessed world over in recent years, infectious diseases, besides insect vector-borne infectious diseases remain a leading cause of morbidity and mortality. Control of the epidemics caused by the non-vector borne diseases such as tuberculosis, avian influenza (H5N1) and cryptococcus gattii, have left a very little hope in the past. The advancement of research in science and technology has paved way for the development of new tools and methodologies to fight against these diseases. In particular, intelligent technology and machine-learning based methodologies have rendered useful in developing more accurate predictive tools for the early diagnosis of these diseases. In all these endeavors the main focus is the understanding that the process of transmission of an infectious disease is nonlinear (not necessarily linear) and dynamical in character. This concept compels the appropriate quantification of the vital parameters that govern these dynamics. This book is ideal for a general science and engineering audience requiring an in-depth exposure to current issues, ideas, methods, and models. The topics discussed serve as a useful reference to clinical experts, health scientists, public health administrators, medical practioners, and senior undergraduate and graduate students in applied mathematics, biology, bioinformatics, and epidemiology, medicine and health sciences.

Mathematical Models in Population Biology and Epidemiology

Author : Fred Brauer
Publisher : Springer Science & Business Media
ISBN 13 : 1461416868
Total Pages : 522 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer

Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2011-11-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.

Mathematical Models for Communicable Diseases

Author : Fred Brauer
Publisher : SIAM
ISBN 13 : 1611972418
Total Pages : 279 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Mathematical Models for Communicable Diseases by : Fred Brauer

Download or read book Mathematical Models for Communicable Diseases written by Fred Brauer and published by SIAM. This book was released on 2013-02-07 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Mathematics of Continuous and Discrete Dynamical Systems

Author : Abba B. Gumel
Publisher : American Mathematical Soc.
ISBN 13 : 0821898620
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Mathematics of Continuous and Discrete Dynamical Systems by : Abba B. Gumel

Download or read book Mathematics of Continuous and Discrete Dynamical Systems written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2014-06-18 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecological processes. Some of the specific topics covered in the book include the analysis of deterministic and stochastic SIR-type models, the assessment of cost-effectiveness of vaccination problems, finite-difference methods for oscillatory dynamical systems (including the Schrödinger equation and Brusselator system), the design of exact and elementary stable finite-difference methods, the study of a two-patch model with Allee effects and disease-modified fitness, the study of the delay differential equation model with application to circadian rhythm and the application of some special functions in the solutions of some problems arising in the natural and engineering sciences. A notable feature of the book is the collection of some relevant open problems, intended to help guide the direction of future research in the area.

An Introduction to Undergraduate Research in Computational and Mathematical Biology

Author : Hannah Callender Highlander
Publisher : Springer Nature
ISBN 13 : 303033645X
Total Pages : 479 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis An Introduction to Undergraduate Research in Computational and Mathematical Biology by : Hannah Callender Highlander

Download or read book An Introduction to Undergraduate Research in Computational and Mathematical Biology written by Hannah Callender Highlander and published by Springer Nature. This book was released on 2020-02-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Infectious Disease Informatics and Biosurveillance

Author : Daniel Zeng
Publisher : Springer Science & Business Media
ISBN 13 : 144196892X
Total Pages : 531 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Infectious Disease Informatics and Biosurveillance by : Daniel Zeng

Download or read book Infectious Disease Informatics and Biosurveillance written by Daniel Zeng and published by Springer Science & Business Media. This book was released on 2010-11-16 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on Infectious Disease Informatics (IDI) and biosurveillance is intended to provide an integrated view of the current state of the art, identify technical and policy challenges and opportunities, and promote cross-disciplinary research that takes advantage of novel methodology and what we have learned from innovative applications. This book also fills a systemic gap in the literature by emphasizing informatics driven perspectives (e.g., information system design, data standards, computational aspects of biosurveillance algorithms, and system evaluation). Finally, this book attempts to reach policy makers and practitioners through the clear and effective communication of recent research findings in the context of case studies in IDI and biosurveillance, providing “hands-on” in-depth opportunities to practitioners to increase their understanding of value, applicability, and limitations of technical solutions. This book collects the state of the art research and modern perspectives of distinguished individuals and research groups on cutting-edge IDI technical and policy research and its application in biosurveillance. The contributed chapters are grouped into three units. Unit I provides an overview of recent biosurveillance research while highlighting the relevant legal and policy structures in the context of IDI and biosurveillance ongoing activities. It also identifies IDI data sources while addressing information collection, sharing, and dissemination issues as well as ethical considerations. Unit II contains survey chapters on the types of surveillance methods used to analyze IDI data in the context of public health and bioterrorism. Specific computational techniques covered include: text mining, time series analysis, multiple data streams methods, ensembles of surveillance methods, spatial analysis and visualization, social network analysis, and agent-based simulation. Unit III examines IT and decision support for public health event response and bio-defense. Practical lessons learned in developing public health and biosurveillance systems, technology adoption, and syndromic surveillance for large events are discussed. The goal of this book is to provide an understandable interdisciplinary IDI and biosurveillance reference either used as a standalone textbook or reference for students, researchers, and practitioners in public health, veterinary medicine, biostatistics, information systems, computer science, and public administration and policy.

Modeling Paradigms and Analysis of Disease Transmission Models

Author : Abba B. Gumel
Publisher : American Mathematical Soc.
ISBN 13 : 0821843842
Total Pages : 286 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Modeling Paradigms and Analysis of Disease Transmission Models by : Abba B. Gumel

Download or read book Modeling Paradigms and Analysis of Disease Transmission Models written by Abba B. Gumel and published by American Mathematical Soc.. This book was released on 2010 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume stems from two DIMACS activities, the U.S.-Africa Advanced Study Institute and the DIMACS Workshop, both on Mathematical Modeling of Infectious Diseases in Africa, held in South Africa in the summer of 2007. It contains both tutorial papers and research papers. Students and researchers should find the papers on modeling and analyzing certain diseases currently affecting Africa very informative. In particular, they can learn basic principles of disease modeling and stability from the tutorial papers where continuous and discrete time models, optimal control, and stochastic features are introduced.

Humanity And Social Science: Proceedings Of The International Conference On Humanity And Social Science (Ichss2016)

Author : Liguang Liu
Publisher : World Scientific
ISBN 13 : 9813208511
Total Pages : 534 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Humanity And Social Science: Proceedings Of The International Conference On Humanity And Social Science (Ichss2016) by : Liguang Liu

Download or read book Humanity And Social Science: Proceedings Of The International Conference On Humanity And Social Science (Ichss2016) written by Liguang Liu and published by World Scientific. This book was released on 2017-02-03 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2016 International Conference on Humanity and Social Science (ICHSS2016) was successfully held in Xiamen, China, on April 22nd - 24th.The ICHSS2016 received over more than 198 submissions, and after careful peer review process, only 68 are included in this proceedings, covering management, education, economy and finance, culture, social science and sports. The program of ICHSS2016 consisted of keynote presentation, invited sessions and technical workshops.The conference provides an opportunity for researchers from all over the regions to come together to discuss issues and compare research outcomes in education and humanity, and exchange ideas to move in the right directions should be the focus of attention.

Control Methods in PDE-Dynamical Systems

Author : Fabio Ancona
Publisher : American Mathematical Soc.
ISBN 13 : 0821837664
Total Pages : 416 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Control Methods in PDE-Dynamical Systems by : Fabio Ancona

Download or read book Control Methods in PDE-Dynamical Systems written by Fabio Ancona and published by American Mathematical Soc.. This book was released on 2007 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: While rooted in controlled PDE systems, this 2005 AMS-IMS-SIAM Summer Research Conference sought to reach out to a rather distinct, yet scientifically related, research community in mathematics interested in PDE-based dynamical systems. Indeed, this community is also involved in the study of dynamical properties and asymptotic long-time behavior (in particular, stability) of PDE-mixed problems. It was the editors' conviction that the time had become ripe and the circumstances propitious for these two mathematical communities--that of PDE control and optimization theorists and that of dynamical specialists--to come together in order to share recent advances and breakthroughs in their respective disciplines. This conviction was further buttressed by recent discoveries that certain energy methods, initially devised for control-theoretic a-priori estimates, once combined with dynamical systems techniques, yield wholly new asymptotic results on well-established, nonlinear PDE systems, particularly hyperb These expectations are now particularly well reflected in the contributions to this volume, which involve nonlinear parabolic, as well as hyperbolic, equations and their attractors; aero-elasticity, elastic systems; Euler-Korteweg models; thin-film equations; Schrodinger equations; beam equations; etc. in addition, the static topics of Helmholtz and Morrey potentials are also prominently featured. A special component of the present volume focuses on hyperbolic conservation laws, to take advantage of recent theoretical advances with significant implications also on applied problems. in all these areas, the reader will find state-of-the-art accounts as stimulating starting points for further research.

Prospects in Mathematical Physics

Author : José C. Mourão
Publisher : American Mathematical Soc.
ISBN 13 : 0821842706
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Prospects in Mathematical Physics by : José C. Mourão

Download or read book Prospects in Mathematical Physics written by José C. Mourão and published by American Mathematical Soc.. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes papers presented at the Young Researchers Symposium of the 14th International Congress on Mathematical Physics, held in July 2003, in Lisbon, Portugal. The goal of thes book is to illustrate various promising areas of mathematical physics in a way accessible to researchers at the beginning of their career. Two of the three laureates of the Henri Poincare Prizes, Huzihiro Araki and Elliott Lieb, also contributed to this volume. The book provides a good survey of some active areas of research in modern mathematical physics.

What's Happening in the Mathematical Sciences

Author : Barry Cipra
Publisher : American Mathematical Soc.
ISBN 13 : 9780821890431
Total Pages : 108 pages
Book Rating : 4.8/5 (94 download)

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Book Synopsis What's Happening in the Mathematical Sciences by : Barry Cipra

Download or read book What's Happening in the Mathematical Sciences written by Barry Cipra and published by American Mathematical Soc.. This book was released on with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers.

Epidemics

Author : Ottar N. Bjørnstad
Publisher : Springer
ISBN 13 : 3319974874
Total Pages : 318 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Epidemics by : Ottar N. Bjørnstad

Download or read book Epidemics written by Ottar N. Bjørnstad and published by Springer. This book was released on 2018-10-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed to be a practical study in infectious disease dynamics. The book offers an easy to follow implementation and analysis of mathematical epidemiology. The book focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in ‘consumer-resource metapopulations’. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data using R have been organized in a reasonably logical way: Chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; Chapters 11-13 pertains to spatial and spatiotemporal dynamics; Chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, Chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time.

Poisson Geometry in Mathematics and Physics

Author : Giuseppe Dito
Publisher : American Mathematical Soc.
ISBN 13 : 0821844237
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Poisson Geometry in Mathematics and Physics by : Giuseppe Dito

Download or read book Poisson Geometry in Mathematics and Physics written by Giuseppe Dito and published by American Mathematical Soc.. This book was released on 2008 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.