Virus dynamics: mathematical principles of immunology and virology
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2000
|
| Edition: | 1. publ. |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013070038&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XII, 237 S. graph. Darst. |
| ISBN: | 0198504187 9780198504184 0198504179 9780198504177 |
Staff View
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| 100 | 1 | |a Nowak, Martin A. |d 1965- |e Verfasser |0 (DE-588)1015510477 |4 aut | |
| 245 | 1 | 0 | |a Virus dynamics |b mathematical principles of immunology and virology |c Martin A. Nowak; Robert M. May |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2000 | |
| 300 | |a XII, 237 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Enfermedades por virus | |
| 650 | 7 | |a HIV |2 inriac | |
| 650 | 7 | |a Immunité cellulaire |2 ram | |
| 650 | 7 | |a Immunologie - Modèles mathématiques |2 ram | |
| 650 | 7 | |a Immuunreacties |2 gtt | |
| 650 | 4 | |a Maladies à virus - Modèles mathématiques | |
| 650 | 7 | |a Relations hôte-virus |2 ram | |
| 650 | 4 | |a Réaction immunitaire - Modèles mathématiques | |
| 650 | 4 | |a Sistema inmune | |
| 650 | 7 | |a Virologie |2 ram | |
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| 650 | 7 | |a immunologie theorique |2 inriac | |
| 650 | 7 | |a modelisation |2 inriac | |
| 650 | 7 | |a mutation |2 inriac | |
| 650 | 7 | |a structure moleculaire |2 inriac | |
| 650 | 7 | |a systeme immunitaire |2 inriac | |
| 650 | 7 | |a therapie anti-virale |2 inriac | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Acquired Immunodeficiency Syndrome |x virology | |
| 650 | 4 | |a HIV |x ultrastructure | |
| 650 | 4 | |a Immune response |x Mathematical models | |
| 650 | 4 | |a Models, Theoretical | |
| 650 | 4 | |a Virus Activation |x immunology | |
| 650 | 4 | |a Virus diseases |x Mathematical models | |
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Record in the Search Index
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| DE-BY-TUM_media_number | 040009556110 |
| _version_ | 1821934398793056256 |
| adam_text | CONTENTS
1 Introduction: viruses, immunity, equations 1
1.1 Viruses 1
1.2 Immunity 3
1.2.1 B cells 3
1.2.2 T cells 4
1.3 Mathematical biology 6
1.4 Further reading 9
2 HIV 10
2.1 Discovery 10
2.2 Some basic facts about HIV 11
2.3 Treatment 13
2.4 Origins of HIV 14
2.5 Further reading 15
3 The basic model of virus dynamics 16
3.1 The model 17
3.2 Dynamics 18
3.3 Equilibrium 21
3.4 The primary phase of HIV and SIV infection 21
3.4.1 Estimating R() 24
3.4.2 Vaccination to reduce Rq 25
3.5 Further reading 26
4 Anti viral drug therapy 27
4.1 Theory 30
4.1.1 HIV: reverse transcriptase inhibitors 30
4.1.2 HIV: protease inhibitors 32
4.1.3 Rise of uninfected cells 34
4.1.4 Long lived infected cells 34
4.2 Experiment 36
4.2.1 Short term decay 36
4.2.2 CD4 cell increase 38
4.2.3 Long lived infected cells 39
4.2.4 Virion turnover 40
4.2.5 Triple drug therapy 41
4.2.6 Eradication 42
4.3 Further reading 43
x Contents
5 Dynamics of hepatitis B virus 44
5.1 Theory 45
5.2 Experiment 46
5.3 Comparing HBV and HIV 50
5.4 Further reading 51
6 Dynamics of immune responses 52
6.1 A self regulating CTL response 53
6.1.1 Persistent infection or clearance 55
6.1.2 Variation in CTL responsiveness leads to a negative
correlation between virus load and the magnitude of
the CTL response 56
6.2 Other self regulating immune responses 56
6.3 A nonlinear CTL response: predator prey dynamics 58
6.3.1 Virus load reduction 59
6.3.2 Variation in immune responsiveness 59
6.4 A linear immune response 61
6.5 Dynamic elimination 63
6.6 The simplest models of immune response dynamics 63
6.6.1 Variation in immune responsiveness 66
6.7 Experimental observations: HTLV 1 and HIV 1,2 66
6.8 Further reading 67
7 How fast do immune responses eliminate infected cells? 69
7.1 The rate of CTL mediated lysis in vitro 71
7.2 The dynamics of CTL mediated lysis 74
7.2.1 Model 1 75
7.2.2 Model 2 76
7.3 Virus decay slopes 77
7.4 Comparing HIV and HBV 80
7.5 Further reading 81
8 What is a quasispecies? 82
8.1 More than atoms in our universe 83
8.2 Quasispecies live in sequence space 84
8.3 Quasispecies explore fitness landscapes 84
8.4 The mathematics of quasispecies 85
8.5 Error thresholds 86
8.6 Some fancier quasispecies maths 87
8.7 Viral quasispecies 88
8.8 Antigenic escape and optimum mutation rate 89
8.9 Further reading 89
Contents xi
9 The frequency of resistant mutant virus
before anti viral therapy 90
9.1 Wild type and mutant differ by 1 point mutation 91
9.2 Wild type and mutant differ by 2 point mutations 92
9.3 Wild type and mutant differ by n point mutations 93
9.4 Some practical implications 95
9.5 Further reading 96
10 Emergence of drug resistance 97
10.1 The basic model 100
10.2 Emergence of resistance during drug treatment 101
10.2.1 Equilibrium properties 102
10.2.2 Total gain of CD4 cells and total reduction of virus load
are independent of inhibition of sensitive virus 103
10.2.3 A stronger drug selects for faster emergence of
resistance 105
10.3 The probability of producing a resistant mutant during
therapy 105
10.4 Summary 108
10.5 Further reading 109
11 Timing the emergence of resistance 110
11.1 Theory 110
11.2 Observation 116
11.2.1 The probability of producing replication
competent provirus 117
11.3 Summary 121
11.4 Further reading 121
12 Simple antigenic variation 123
12.1 The basic model of antigenic variation 125
12.2 Antigenic variation of HIV: diversity threshold 129
12.3 Three kinds of observed lentivirus infections 133
12.4 Further reading 136
13 Advanced antigenic variation 137
13.1 Immune response can select for or aganist antigenic diversity 138
13.1.1 Cross sectional comparisons 142
13.2 Antigenic variation of HIV with different parameter values 143
13.2.1 Cross sectional comparisons 146
13.3 Comparison with data 147
13.4 Further reading 148
14 Multiple epitopes 149
14.1 Experimental evidence 153
14.2 The simplest multiple epitope model 155
xii Contents
14.3 Different parameters for different mutants 157
14.3.1 What determines immunodominance? 161
14.4 Activated CTLs arise from inactivated precursors 162
14.4. i The neutral case: all mutants have the same
replication rates 163
14.4.2 The mutants have different replication rates 164
14.4.3 The limit of large r) 167
14.5 The 2 x 1 case 167
14.5.1 ^ = 0 167
14.5.2 r) 0 169
14.5.3 The limit of large r) 174
14.6 Cross reactivity within the variants of a given epitope 174
14.7 Immunogenicity and intracellular competition 175
14.8 Immunotherapy 177
14.9 Summary 179
14.10 Further reading 181
15 Everything we know so far and beyond 182
15.1 The mechanism of HIV 1 disease progression 182
15.2 How to overcome HIV 186
15.3 A quantitative immunology and virology 187
15.4 Further reading 187
Appendix A: Dynamics of resistance in different types of infected cells 188
Appendix B: Analysis of multiple epitope dynamics 196
B.I An invariant of motion 196
B.2 Local dynamics of a multiple epitope equation 197
B.3 The 2 x 2 system 200
B.3.1 n = 0 200
B.3.2 rj 0 202
B.3.3 The limit of large r 204
B.4 Intracellular competition between epitopes 207
References 209
Index 233
|
| any_adam_object | 1 |
| author | Nowak, Martin A. 1965- May, Robert M. 1936-2020 |
| author_GND | (DE-588)1015510477 (DE-588)133675459 |
| author_facet | Nowak, Martin A. 1965- May, Robert M. 1936-2020 |
| author_role | aut aut |
| author_sort | Nowak, Martin A. 1965- |
| author_variant | m a n ma man r m m rm rmm |
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| dewey-full | 616.9/25/015118 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 616 - Diseases |
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| dewey-search | 616.9/25/015118 |
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| dewey-tens | 610 - Medicine and health |
| discipline | Biologie Medizin |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV019743376 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T12:04:54Z |
| institution | BVB |
| isbn | 0198504187 9780198504184 0198504179 9780198504177 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013070038 |
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| physical | XII, 237 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spellingShingle | Nowak, Martin A. 1965- May, Robert M. 1936-2020 Virus dynamics mathematical principles of immunology and virology Enfermedades por virus HIV inriac Immunité cellulaire ram Immunologie - Modèles mathématiques ram Immuunreacties gtt Maladies à virus - Modèles mathématiques Relations hôte-virus ram Réaction immunitaire - Modèles mathématiques Sistema inmune Virologie ram Virusinfecties gtt Wiskundige modellen gtt dynamique virus inriac hepatite B inriac immunologie theorique inriac modelisation inriac mutation inriac structure moleculaire inriac systeme immunitaire inriac therapie anti-virale inriac Mathematisches Modell Acquired Immunodeficiency Syndrome virology HIV ultrastructure Immune response Mathematical models Models, Theoretical Virus Activation immunology Virus diseases Mathematical models Immunreaktion (DE-588)4133841-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Viruskrankheit (DE-588)4063605-7 gnd |
| subject_GND | (DE-588)4133841-8 (DE-588)4114528-8 (DE-588)4063605-7 |
| title | Virus dynamics mathematical principles of immunology and virology |
| title_auth | Virus dynamics mathematical principles of immunology and virology |
| title_exact_search | Virus dynamics mathematical principles of immunology and virology |
| title_full | Virus dynamics mathematical principles of immunology and virology Martin A. Nowak; Robert M. May |
| title_fullStr | Virus dynamics mathematical principles of immunology and virology Martin A. Nowak; Robert M. May |
| title_full_unstemmed | Virus dynamics mathematical principles of immunology and virology Martin A. Nowak; Robert M. May |
| title_short | Virus dynamics |
| title_sort | virus dynamics mathematical principles of immunology and virology |
| title_sub | mathematical principles of immunology and virology |
| topic | Enfermedades por virus HIV inriac Immunité cellulaire ram Immunologie - Modèles mathématiques ram Immuunreacties gtt Maladies à virus - Modèles mathématiques Relations hôte-virus ram Réaction immunitaire - Modèles mathématiques Sistema inmune Virologie ram Virusinfecties gtt Wiskundige modellen gtt dynamique virus inriac hepatite B inriac immunologie theorique inriac modelisation inriac mutation inriac structure moleculaire inriac systeme immunitaire inriac therapie anti-virale inriac Mathematisches Modell Acquired Immunodeficiency Syndrome virology HIV ultrastructure Immune response Mathematical models Models, Theoretical Virus Activation immunology Virus diseases Mathematical models Immunreaktion (DE-588)4133841-8 gnd Mathematisches Modell (DE-588)4114528-8 gnd Viruskrankheit (DE-588)4063605-7 gnd |
| topic_facet | Enfermedades por virus HIV Immunité cellulaire Immunologie - Modèles mathématiques Immuunreacties Maladies à virus - Modèles mathématiques Relations hôte-virus Réaction immunitaire - Modèles mathématiques Sistema inmune Virologie Virusinfecties Wiskundige modellen dynamique virus hepatite B immunologie theorique modelisation mutation structure moleculaire systeme immunitaire therapie anti-virale Mathematisches Modell Acquired Immunodeficiency Syndrome virology HIV ultrastructure Immune response Mathematical models Models, Theoretical Virus Activation immunology Virus diseases Mathematical models Immunreaktion Viruskrankheit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013070038&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nowakmartina virusdynamicsmathematicalprinciplesofimmunologyandvirology AT mayrobertm virusdynamicsmathematicalprinciplesofimmunologyandvirology |
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Branch Library Physics
| Call Number: |
0202 BIO 300 2024 A 2039
Floor plan |
|---|---|
| Copy 1 | Available for loan On Shelf |