Models for Infectious Human Diseases: Their Structure and Relation to Data

doi:10.1017/CBO9780511662935

Infectious disease accounts for more death and disability globally than either non-infectious disease or injury. This book contains a breadth of different quantitative approaches to understanding the patterns of infectious diseases in populations, and the design of control strategies to lessen their effect. The contributors bring a great variety of mathematical expertise (including deterministic and stochastic modelling and statistical data analysis) and involvement in a wide range of applied fields across the spectrum of biological, medical and social sciences. The aim is to increase interaction between specialities by describing research on many of the infectious diseases that affect humans, including both viral diseases like measles and AIDS and tropical parasitic infections. The papers are divided into groups dealing with problems relating to transmissible diseases, vaccination strategies, the consequences of treatment interventions, the dynamics of immunity, heterogeneity of populations, and prediction.

Review of the hardback: ‘… a valuable reference tool.’

Robert Hiorns Source: Mathematics Today

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Contents

Frontmatter
pp i-iv
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Contents
pp v-x
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Introduction
pp xi-xiv
- By Valerie Isham, Graham Medley
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Participants
pp xv-xxi
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Non-Participant Contributors
pp xxii-xxiv
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Part 1 - Transmissible diseases with long development times and vaccination strategies
pp 1-2
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Overview of data analysis: diseases with long development times
pp 3-27
- By Sheila M. Gore
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HPV and cervical cancer
pp 28-37
- By Julian Peto
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An age-structured model for measles vaccination
pp 38-56
- By Martin Eichner, Stefan Zehnder, Klaus Dietz
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Invited Discussion
pp 57-61
- By V.T. Farewell
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Invited Discussion
pp 62-66
- By James S. Koopman
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Piece-wise constant models to estimate age- and time-specific incidence of toxoplasmosis from age- and time-specific seroprevalence data
pp 67-71
- By A.E. Ades, D.J. Nokes
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New methodology for AIDS back calculation
pp 72-73
- By D. De Angelis, W.R. Gilks
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Imperfect HIV vaccines, the consequences for epidemic control and clinical trials
pp 74-75
- By S.M. Blower, A.R. McLean
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Feasibility of prophylactic HIV-vaccine trials: some statistical issues
pp 76-82
- By M. Elizabeth Halloran, Ira M. Longini, Jr, C.J. Struchiner, Michael Haber
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The design of immunisation programmes against hepatitis B virus in developing countries
pp 83-85
- By W.J. Edmunds, G.F. Medley, D.J. Nokes
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The effect of different mixing patterns on vaccination programs
pp 86-89
- By David Greenhalgh, Klaus Dietz
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Optimal vaccination patterns in age-structured populations I: the reproduction number
pp 90-101
- By K.P. Hadeler, J. Müller
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Optimal vaccination patterns in age-structured populations II: optimal strategies
pp 102-114
- By K.P. Hadeler, J. Müller
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Part 2 - Dynamics of immunity (development of disease within individuals)
pp 115-116
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Evolutionary dynamics of HIV infections
pp 117-126
- By Martin Nowak
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Statistical models for analysis of longitudinal, CD4 data
pp 127-138
- By J.M.G. Taylor, W.G. Cumberland, J.P. Sy, R.T. Mitsuyasu
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Some mathematical and statistical issues in assessing the evidence for acquired immunity to schistosomiasis
pp 139-159
- By A.J.C. Fulford, A.E. Butterworth, D.W. Dunne, R.F. Sturrock, J.H. Ouma
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Virulence and transmissibility in P. falciparum malaria
pp 160-180
- By Sunetra Gupta, Karen Day
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Invited Discussion
pp 181-183
- By Angela R. McLean
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Invited Discussion
pp 184-188
- By Andy Dobson
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Invited Discussion
pp 189-190
- By Graham Medley
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Lifespan of human T lymphocytes
pp 191-192
- By Angela R. McLean, Colin A. Michie
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Diversity and virulence thresholds in AIDS
pp 193-193
- By Rob J. de Boer, Maarten C. Boerlijst
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Statistical analysis of AZT effect on CD4 cell counts in HIV disease
pp 194-196
- By A.J. McNeil, S.M. Gore, R.P. Brettle, A.G. Bird
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Their Structure and Relation to Data

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