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2015 | OriginalPaper | Chapter

14. Immuno-Epidemiological Modeling

Author : Maia Martcheva

Published in: An Introduction to Mathematical Epidemiology

Publisher: Springer US

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Abstract

This chapter introduces and studies multiscale nested immuno-epidemiological models. The chapter begins with brief introduction to within-host dynamics and within-host modeling. Then the chapter introduces nested immuno-epidemiological models. The first model studied is a nested SI model of HIV. Using data, the chapter argues that the transmission rate is not a linear function of the viral load. The epidemiological reproduction number and prevalence of HIV are derived and studied in terms of the within-host viral load. In addition, a nested immuno-epidemiological model with immune response in the within-host model is introduced and studied.

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previous chapter Class-Age Structured Epidemic Models
next chapter Spatial Heterogeneity in Epidemiological Models
Literature
18.
H. B., Immunoepidemiology—bridging the gap between immunology and epidemiology, Trends Parasitol., 17 (2001), pp. 102–106.
48.
H. Dahari, A. Lo, R. M. Ribeiro, and A. S. Perelson, Modeling hepatitis C virus dynamics: liver regeneration and critical drug efficacy, J. Theoret. Biol., 247 (2007), pp. 371–381.MathSciNetCrossRef
49.
65.
M. A. Gilchrist and A. Sasaki, Modeling host–parasite coevolution: a nested approach based on mechanistic models, J. Theoret. Biol., 218 (2002), pp. 289–308.MathSciNetCrossRef
92.
A. Lange and N. M. Ferguson, Antigenic diversity, transmission mechanisms, and the evolution of pathogens, PLoS Comput. Biol., 5 (2009), e1000536.MathSciNetCrossRef
95.
R. Levins, Some demographic and genetic consequences of environmental heterogeneity for biological control, Bulletin of the Entomological Society of America, (1969), p. 237–240.
105.
G. I. Marchuk, Mathematical modelling of immune response in infectious diseases, vol. 395 of Mathematics and Its Applications, Kluwer Academic Publishers Group, Dordrecht, 1997. Translated from the Russian manuscript by Guennadi Kontarev and Igor Sidorov.
110.
M. Martcheva and X.-Z. Li, Linking immunological and epidemiological dynamics of HIV: The case of super-infection, J. Biol. Dyn., 7 (2013), pp. 161–182.MathSciNetCrossRef
127.
M. A. Nowak and R. M. May, Virus dynamics, Oxford University Press, Oxford, 2000. Mathematical principles of immunology and virology.
135.
A. Pugliese and A. Gandolfi, A simple model of pathogen-immune dynamics including specific and non-specific immunity, Math. Biosci., 214 (2008), pp. 73–80.MathSciNetCrossRefMATH
168.
D. Wodarz, Killer cell dynamics, vol. 32 of Interdisciplinary Applied Mathematics, Springer, New York, 2007. Mathematical and computational approaches to immunology.
169.
N. Yousfi, K. Hattaf, and M. Rachik, Analysis of a HCV model with CTL and antibody responses, Appl. Math. Sci. (Ruse), 3 (2009), pp. 2835–2846.MathSciNetMATH
Metadata
Title
Immuno-Epidemiological Modeling
Author
Maia Martcheva
Copyright Year
2015
Publisher
Springer US
Book
An Introduction to Mathematical Epidemiology

Print ISBN: 978-1-4899-7611-6

Electronic ISBN: 978-1-4899-7612-3

Copyright Year: 2015

DOI
https://doi.org/10.1007/978-1-4899-7612-3_14

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