Mathematical Studies On Human Disease Dynamics

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Mathematical Studies on Human Disease Dynamics

Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence
Mathematical Studies on Human Disease Dynamics Book PDF

Author : Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence
Publisher : American Mathematical Soc.
Page : 406 pages
File Size : 54,8 Mb
Release : 2006
Category : Diseases
ISBN : 9780821837757

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Mathematical Studies on Human Disease Dynamics by Abba B. Gumel,Carlos Castillo-Chávez,Ronald E. Mickens,Dominic P. Clemence Pdf

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 Understanding of Infectious Disease Dynamics

Stefan Ma,Yingcun Xia
Mathematical Understanding of Infectious Disease Dynamics Book PDF

Author : Stefan Ma,Yingcun Xia
Publisher : World Scientific
Page : 240 pages
File Size : 44,7 Mb
Release : 2009
Category : Technology & Engineering
ISBN : 9789812834829

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Mathematical Understanding of Infectious Disease Dynamics by Stefan Ma,Yingcun Xia Pdf

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.

Mathematical Models in Population Biology and Epidemiology

Fred Brauer,Carlos Castillo-Chavez
Mathematical Models in Population Biology and Epidemiology Book PDF

Author : Fred Brauer,Carlos Castillo-Chavez
Publisher : Springer Science & Business Media
Page : 508 pages
File Size : 48,9 Mb
Release : 2011-11-09
Category : Mathematics
ISBN : 9781461416869

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Mathematical Models in Population Biology and Epidemiology by Fred Brauer,Carlos Castillo-Chavez Pdf

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.

Dynamic Models of Infectious Diseases

V. Sree Hari Rao,Ravi Durvasula
Dynamic Models of Infectious Diseases Book PDF

Author : V. Sree Hari Rao,Ravi Durvasula
Publisher : Springer Science & Business Media
Page : 269 pages
File Size : 50,9 Mb
Release : 2013-11-30
Category : Science
ISBN : 9781461492245

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Dynamic Models of Infectious Diseases by V. Sree Hari Rao,Ravi Durvasula Pdf

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 for Communicable Diseases

Fred Brauer,Carlos Castillo-Chavez
Mathematical Models for Communicable Diseases Book PDF

Author : Fred Brauer,Carlos Castillo-Chavez
Publisher : SIAM
Page : 279 pages
File Size : 51,8 Mb
Release : 2013-02-07
Category : Mathematics
ISBN : 9781611972412

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Mathematical Models for Communicable Diseases by Fred Brauer,Carlos Castillo-Chavez Pdf

A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

An Introduction to Undergraduate Research in Computational and Mathematical Biology

Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton
An Introduction to Undergraduate Research in Computational and Mathematical Biology Book PDF

Author : Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton
Publisher : Springer Nature
Page : 479 pages
File Size : 50,7 Mb
Release : 2020-02-17
Category : Mathematics
ISBN : 9783030336455

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An Introduction to Undergraduate Research in Computational and Mathematical Biology by Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton Pdf

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.

Second Order Elliptic Equations and Elliptic Systems

Abba B. Gumel
Second Order Elliptic Equations and Elliptic Systems Book PDF

Author : Abba B. Gumel
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 55,6 Mb
Release : 2014-06-18
Category : Mathematics
ISBN : 9780821898628

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Second Order Elliptic Equations and Elliptic Systems by Abba B. Gumel Pdf

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.

Biomat 2011 - International Symposium On Mathematical And Computational Biology

Rubem P Mondaini
Biomat 2011 International Symposium On Mathematical And Computational Biology Book PDF

Author : Rubem P Mondaini
Publisher : World Scientific
Page : 408 pages
File Size : 45,5 Mb
Release : 2012-03-14
Category : Mathematics
ISBN : 9789814397728

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Biomat 2011 - International Symposium On Mathematical And Computational Biology by Rubem P Mondaini Pdf

The book contains a selection of articles on special research topics on Mathematical Biology and the interdisciplinary fields of mathematical modelling of biosystems. The treatment is both pedagogical and advanced to enhance future scientific research. We include comprehensive reviews written by prominent leaders of scientific research groups, new results on Population Dynamics such as Hybrid Discrete-Continuous Models of Cell Populations and the Hopf bifurcation on Predator-Prey Models, and some state of the art research on Medical Physics such as Optimization Methods applied to Raman Spectroscopy. Other topics covered focus on evolution biology, infectious diseases, DNA structure and many more.

Infectious Disease Informatics and Biosurveillance

Daniel Zeng,Hsinchun Chen,Carlos Castillo-Chavez,William B. Lober,Mark Thurmond
Infectious Disease Informatics and Biosurveillance Book PDF

Author : Daniel Zeng,Hsinchun Chen,Carlos Castillo-Chavez,William B. Lober,Mark Thurmond
Publisher : Springer Science & Business Media
Page : 488 pages
File Size : 46,8 Mb
Release : 2010-11-16
Category : Medical
ISBN : 9781441968920

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Infectious Disease Informatics and Biosurveillance by Daniel Zeng,Hsinchun Chen,Carlos Castillo-Chavez,William B. Lober,Mark Thurmond Pdf

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

Abba B. Gumel,Suzanne Lenhart
Modeling Paradigms and Analysis of Disease Transmission Models Book PDF

Author : Abba B. Gumel,Suzanne Lenhart
Publisher : American Mathematical Soc.
Page : 286 pages
File Size : 47,5 Mb
Release : 2010
Category : Communicable diseases
ISBN : 9780821843840

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Modeling Paradigms and Analysis of Disease Transmission Models by Abba B. Gumel,Suzanne Lenhart Pdf

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.

Mathematical Tools for Understanding Infectious Disease Dynamics

Odo Diekmann,Hans Heesterbeek,Tom Britton
Mathematical Tools for Understanding Infectious Disease Dynamics Book PDF

Author : Odo Diekmann,Hans Heesterbeek,Tom Britton
Publisher : Princeton University Press
Page : 516 pages
File Size : 53,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9780691155395

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Mathematical Tools for Understanding Infectious Disease Dynamics by Odo Diekmann,Hans Heesterbeek,Tom Britton Pdf

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.

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

Liguang Liu,Jianhua Zhang
Humanity And Social Science Proceedings Of The International Conference On Humanity And Social Science Ichss2016 Book PDF

Author : Liguang Liu,Jianhua Zhang
Publisher : World Scientific
Page : 536 pages
File Size : 40,6 Mb
Release : 2017-02-03
Category : Business & Economics
ISBN : 9789813208513

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Humanity And Social Science: Proceedings Of The International Conference On Humanity And Social Science (Ichss2016) by Liguang Liu,Jianhua Zhang Pdf

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.

BIOMAT 2011

Rubem P. Mondaini
BIOMAT 2011 Book PDF

Author : Rubem P. Mondaini
Publisher : World Scientific
Page : 409 pages
File Size : 54,8 Mb
Release : 2012
Category : Science
ISBN : 9789814397704

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BIOMAT 2011 by Rubem P. Mondaini Pdf

The book contains a selection of articles on special research topics on Mathematical Biology and the interdisciplinary fields of mathematical modelling of biosystems. The treatment is both pedagogical and advanced to enhance future scientific research. We include comprehensive reviews written by prominent leaders of scientific research groups, new results on Population Dynamics such as Hybrid Discrete-Continuous Models of Cell Populations and the Hopf bifurcation on Predator-Prey Models, and some state of the art research on Medical Physics such as Optimization Methods applied to Raman Spectroscopy. Other topics covered focus on evolution biology, infectious diseases, DNA structure and many more.

Dynamical Disease

Jacques Bélair
Dynamical Disease Book PDF

Author : Jacques Bélair
Publisher : Amer Inst of Physics
Page : 220 pages
File Size : 43,5 Mb
Release : 1995-01-01
Category : Medical
ISBN : 1563963701

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Dynamical Disease by Jacques Bélair Pdf

Market: Physicists, mathematicians, biologists, physiologists, and physicians interested in the latest research in this growing area of nonlinear science. Here are 29 ground-breaking research papers presented at a 1994 workshop in Quebec that offer fresh insights into the possible etiology and treatment of disease. Each chapter reveals how mathematical methods for understanding dynamical behavior in nonlinear equations are ideally suited to the analysis of complex rhythms confronted by physicians.

Control Methods in PDE-Dynamical Systems

Fabio Ancona
Control Methods in PDE Dynamical Systems Book PDF

Author : Fabio Ancona
Publisher : American Mathematical Soc.
Page : 404 pages
File Size : 43,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821837665

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Control Methods in PDE-Dynamical Systems by Fabio Ancona Pdf

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 hyperbolic and Petrowski-type PDEs. 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.