# Virus Dynamics : Mathematical Principles of Immunology and Virology: Mathematical Principles of Immunology and Virology

Oxford University Press, UK, Nov 23, 2000 - 250 pages
This groundbreaking book describes the emerging field of theoretical immunology, in particular the use of mathematical models to describe the spread of infectious diseases within patients. It reveals fascinating insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. Structured around the examples of HIV/AIDS and hepatitis B, Nowak and May show how mathematical models can help researchers to understand the detailed dynamics of infection and the effects of antiviral therapy. Models are developed to describe the dynamics of drug resistance, immune responses, viral evolution and mutation, and to optimise the design of therapy and vaccines. - ;We know, down to the tiniest details, the molecular structure of the human immunodeficiency virus (HIV). Yet despite this tremendous accomplishment, and despite other remarkable advances in our understanding of individual viruses and cells of the immune system, we still have no agreed understanding of the ultimate course and variability of the pathogenesis of AIDS. Gaps in our understanding like these impede our efforts towards developing effective therapies and preventive vaccines. Martin Nowak and Robert M May describe the emerging field of theoretical immunology in this accessible and well- written text. Using mathematical modelling techniques, the authors set out their ideas about how populations of viruses and populations of immune system cells may interact in various circumstances, and how infectious diseases spread within patients. They explain how this approach to understanding infectious diseases can reveal insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. The book is structured around the examples of HIV/AIDS and Hepatitis B virus, although the approaches described will be more widely applicable. The authors use mathematical tools to uncover the detailed dynamics of the infection and the effects of antiviral therapy. Models are developed to describe the emergence of drug resistance, and the dynamics of immune responses, viral evolution, and mutation. The practical implications of this work for optimisation of the design of therapy and vaccines are discussed. The book concludes with a glance towards the future of this fascinating, and potentially highly useful, field of study. - ;... an excellent introduction to a field that has the potential to advance substantially our understanding of the complex interplay between virus and host - Nature

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### Contents

 I 1 II 3 IV 4 V 6 VI 9 VII 10 VIII 11 IX 13
 LXVI 89 LXVIII 90 LXIX 91 LXX 92 LXXI 93 LXXII 95 LXXIII 96 LXXIV 97

 X 14 XI 15 XII 16 XIII 17 XIV 18 XV 21 XVII 24 XVIII 25 XIX 26 XX 27 XXI 30 XXII 32 XXIII 34 XXV 36 XXVI 38 XXVII 39 XXVIII 40 XXIX 41 XXX 42 XXXI 43 XXXII 44 XXXIII 45 XXXIV 46 XXXV 50 XXXVI 51 XXXVII 52 XXXVIII 53 XXXIX 55 XL 56 XLII 58 XLIII 59 XLV 61 XLVI 63 XLVIII 66 XLIX 67 L 69 LI 71 LII 74 LIII 75 LIV 76 LV 77 LVI 80 LVII 81 LVIII 82 LIX 83 LX 84 LXII 85 LXIII 86 LXIV 87 LXV 88
 LXXV 100 LXXVI 101 LXXVII 102 LXXVIII 103 LXXIX 105 LXXXI 108 LXXXII 109 LXXXIII 110 LXXXIV 116 LXXXV 121 LXXXVII 123 LXXXVIII 125 LXXXIX 129 XC 133 XCI 136 XCII 137 XCIII 138 XCIV 142 XCV 143 XCVI 146 XCVII 147 XCVIII 148 XCIX 149 C 153 CI 155 CII 157 CIII 161 CIV 162 CV 163 CVI 164 CVII 167 CIX 169 CX 174 CXII 175 CXIII 177 CXIV 179 CXV 181 CXVI 182 CXVII 186 CXVIII 187 CXX 188 CXXI 196 CXXIII 197 CXXIV 200 CXXV 202 CXXVI 204 CXXVII 207 CXXVIII 209 CXXIX 233 Copyright

### Popular passages

Page 229 - Shankarappa, R., Margolick, JB, Gange, SJ, Rodrigo, AG, Upchurch, D., Farzadegan, H., Gupta, P., Rinaldo, CR, Learn, GH, He, X., Huang, X.-L.
Page 209 - Rapid development of isolate-specific neutralizing antibodies after primary HIV-1 infection and consequent emergence of virus variants which resist neutralization by autologous sera.
Page 223 - Quantitation of HIV-1 RNA in plasma predicts outcome after seroconversion. Ann Intern Med 1995; 122:573-9.
Page 229 - O'Hara, CJ, Groopman, JE, Cho, E.-S., Oleske, JM, Wong-Staal, E, Gallo, RC (1985) HTLV-III infection in brains of children and adults with AIDS encephalopathy.
Page 227 - JD (1993) High levels of HIV-1 in plasma during all stages of infection determined by competitive PCR.
Page 209 - LH (1989). Ordered appearance of antigenic variants of African trypanosomes explained in a mathematical model based on a stochastic switch process and immune-selection against putative switch intermediates. Proc.
Page 220 - Lifson, JD, Feinberg, MB, Reyes, GR, Rabin, L., Banapour, B., Chakrabarti, S., Moss, B., Wong-Staal, F. Steimer, KS and Engleman, EG (1986/?). Induction of CD4-dependent cell fusion by the HTLV-III/LAV envelope.
Page 218 - Dramatic rise in plasma viremia after CD8(+) T cell depletion in simian immunodeficiency virus-infected macaques. J. Exp. Med..
Page 223 - Meyerhans. A., Cheynier, R.. Albert, J., Seth, M., Kwok. S., Sninsky, J., Morfeldt-Manson, L., Asjo, B., WainHobson, S.