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Discrete Methods in Epidemiology [Kõva köide]

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Studies of the spread and containment of disease rely at heart on a variety of mathematical and computational techniques. This collection aims to introduce the fundamentals of epidemiology and to showcase contemporary work using discrete mathematical techniques. Introductory chapters explain the fundamental concepts of epidemiology, the basic tools provided by mathematics and computer science, and some of the outstanding open problems in the area. Contributed articles then highlight particular problems in monitoring disease outbreaks, vaccination strategies, and modelling disease survival factors, and successfully apply techniques such as formal concept analysis, support vector machines, random graph models, and systems of differential equations.
Foreword vii
Preface ix
Acknowledgments xi
Selected Data Mining Concepts
1(40)
James Abello
Graham Cormode
Dmitriy Fradkin
David Madigan
Ofer Melnik
Ilya Muchnik
Descriptive Epidemiology: A Brief Introduction
41(22)
Dona Schneider
Biostatistical Challenges in Molecular Data Analysis
63(10)
William D. Shannon
Mining Online Media for Global Disease Outbreak Monitoring
73(20)
Lynette Hirschman
Laurie E. Damianos
Generalized Contingency Tables and Concept Lattices
93(22)
David Ozonoff
Alex Pogel
Tim Hannan
Graph Partitions and Concept Lattices
115(24)
James Abello
Alex Pogel
Using Transmission Dynamics Models to Validate Vaccine Efficacy Measures Prior to Conducting HIV Vaccine Efficacy Trials
139(24)
Kamal Desai
Marie-Claude Boily
Benoit Masse
Roy M. Anderson
Causal Tree of Disease Transmission and The Spreading of Infectious Diseases
163(18)
Alexei Vazquez
Structure of Social Contact Networks and Their Impact on Epidemics
181(34)
Stephen Eubank
V. S. Anil Kumar
Madhav V. Marathe
Aravind Srinivasan
Nan Wang
Random Graphs (and the Spread of Infections in a Social Network)
215(10)
James Abello
Michael Capalbo
Attempting to Narrow the Integrality Gap for the Firefighter Problem on Trees
225(8)
Stephen G. Hartke
Influences on Breast Cancer Survival via SVM Classification in the SEER Database
233(10)
Jixin Li
Ilya Muchnik
Dona Schneider
Validation of Epidemiological Models: Chicken Epidemiology in the UK
243(14)
Dmitriy Fradkin
Ilya Muchnik
Patrick Hermans
Kenton Morgan
Index 257