Mathematical methods for analysis of a complex disease:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Courant Inst. of Math. Sciences [u.a.]
2011
|
| Series: | Courant lecture notes in mathematics
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XI, 149 S. graph. Darst. |
| ISBN: | 9780821872864 |
Staff View
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Record in the Search Index
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Titel: Mathematical methods for analysis of a complex disease
Autor: Hoppensteadt, Frank C
Jahr: 2011
Contents Introduction vii Chapter 1. Population Dynamics 1 1.1. Population Renewal 4 1.2. Population Wave Equation 11 1.3. Discrete-Event Models 19 Chapter 2. Random Processes 29 2.1. Markov Chains 30 2.2. Branching Processes 34 2.3. Random Walks 40 Chapter 3. Microbial Ecology 51 3.1. Modeling Nutrient Uptake 51 3.2. Food and Growth: The Chemostat 55 3.3. Food Chains 57 3.4. Bacterial Growth on a Petri Dish 61 3.5. Chemotaxis 65 3.6. Mosquitoes near a Malarial Swamp 70 Chapter 4. Propagation of Epidemic Diseases 73 4.1. Spread of Disease in a Small Group 74 4.2. Threshold of an Epidemic 76 4.3. Stratification by Chronological Age and by Class Age 83 4.4. Influence of Environmental Fluctuations 85 4.5. The Ross-Macdonald Model of Malaria 89 Chapter 5. Population Genetics 95 5.1. Darwinian Evolution 96 5.2. Epigenetic Landscape 104 5.3. Malaria and Sickle Cell Genetics 107 Chapter 6. Stratifications of Disease Systems 113 6.1. Temporal Stratifications: Surviving the Dry Season 117 6.2. Parasites within Humans: The Erythrocytic Cycle and Gametocyte Production 117 6.3. Stratification by Infection Age 121 6.4. Stratification by Age and Geography 123 6.5. Controlling Malaria 130 V
VI CONTENTS Chapter 7. MATLAB® Programs 133 7.1. Demographic Simulations 133 7.2. Random Simulations 134 7.3. Microbial Ecology Simulations 136 7.4. Epidemic Simulations 137 7.5. Genetics Simulations 138 7.6. Malaria Simulations 139 Bibliography 143 |
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| bvnumber | BV040342442 |
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| isbn | 9780821872864 |
| language | English |
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| physical | XI, 149 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
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| publisher | Courant Inst. of Math. Sciences [u.a.] |
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| series | Courant lecture notes in mathematics |
| series2 | Courant lecture notes in mathematics |
| spelling | Hoppensteadt, Frank C. 1938- Verfasser (DE-588)11268792X aut Mathematical methods for analysis of a complex disease Frank C. Hoppensteadt New York, NY Courant Inst. of Math. Sciences [u.a.] 2011 XI, 149 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Courant lecture notes in mathematics 22 Includes bibliographical references and index Biomathematik (DE-588)4139408-2 gnd rswk-swf Epidemiologie (DE-588)4015016-1 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Biomathematik (DE-588)4139408-2 s Mathematische Methode (DE-588)4155620-3 s Epidemiologie (DE-588)4015016-1 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-1765-9 Courant lecture notes in mathematics 22 (DE-604)BV012714106 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025196670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hoppensteadt, Frank C. 1938- Mathematical methods for analysis of a complex disease Courant lecture notes in mathematics Biomathematik (DE-588)4139408-2 gnd Epidemiologie (DE-588)4015016-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4015016-1 (DE-588)4155620-3 |
| title | Mathematical methods for analysis of a complex disease |
| title_auth | Mathematical methods for analysis of a complex disease |
| title_exact_search | Mathematical methods for analysis of a complex disease |
| title_full | Mathematical methods for analysis of a complex disease Frank C. Hoppensteadt |
| title_fullStr | Mathematical methods for analysis of a complex disease Frank C. Hoppensteadt |
| title_full_unstemmed | Mathematical methods for analysis of a complex disease Frank C. Hoppensteadt |
| title_short | Mathematical methods for analysis of a complex disease |
| title_sort | mathematical methods for analysis of a complex disease |
| topic | Biomathematik (DE-588)4139408-2 gnd Epidemiologie (DE-588)4015016-1 gnd Mathematische Methode (DE-588)4155620-3 gnd |
| topic_facet | Biomathematik Epidemiologie Mathematische Methode |
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