Mathematical Tools for Understanding Infectious Disease Dynamics

Princeton University Press
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Mathematical modeling is critical to our understanding of how infectious diseases spread at the individual and population levels. This book gives readers the necessary skills to correctly formulate and analyze mathematical models in infectious disease epidemiology, and is the first treatment of the subject to integrate deterministic and stochastic models and methods.

Mathematical Tools for Understanding Infectious Disease Dynamics fully explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology. This comprehensive and accessible book also features numerous detailed exercises throughout; full elaborations to all exercises are provided.

  • Covers the latest research in mathematical modeling of infectious disease epidemiology
  • Integrates deterministic and stochastic approaches
  • Teaches skills in model construction, analysis, inference, and interpretation
  • Features numerous exercises and their detailed elaborations
  • Motivated by real-world applications throughout
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About the author

Odo Diekmann is professor of mathematical analysis at Utrecht University. Hans Heesterbeek is professor of theoretical epidemiology at Utrecht University. Tom Britton is professor of mathematical statistics at Stockholm University.
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Additional Information

Publisher
Princeton University Press
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Published on
Nov 18, 2012
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Pages
520
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ISBN
9781400845620
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Language
English
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Genres
Mathematics / Applied
Medical / Infectious Diseases
Science / Life Sciences / Biology
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Content Protection
This content is DRM protected.
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Available on Android devices
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Eligible for Family Library

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Hakan Andersson
Richard Horowitz
From one of the country's foremost doctors comes a ground-breaking book about diagnosing, treating and healing Lyme, and peeling away the layers that lead to chronic disease.

You may not know that you have Lyme. It can mimic every disease process including Chronic Fatigue Syndrome, Fibromyalgia, autoimmune conditions like MS, psychiatric conditions like depression and anxiety, and cause significant memory and concentration problems, mimicking early dementia. It is called the "Great Imitator," and inaccurate testing-combined with a fierce, ongoing debate that questions chronic infection-makes it difficult for sufferers to find effective care.

When Dr. Richard Horowitz moved to the Hudson Valley over two decades ago to start his own medical practice, he had no idea that he was jumping into a hotbed of Lyme disease. He would soon realize that many of the chronic disease diagnoses people were receiving were also the result of Lyme-and he would discover how once-treatable infections, in the absence of timely intervention, could cause disabling conditions. In a field where the number of cases is growing exponentially around the world and answers remain elusive, Dr. Horowitz has treated over 12,000 patients and made extraordinary progress. His plan represents a crucial paradigm shift, without which the suffering will continue.

In this book, Dr. Horowitz:

- Breaks new ground with a 16 Point Differential Diagnostic Map, the basis for his revolutionary Lyme treatment plan, and an overarching approach to treating all chronic illness.

- Introduces MSIDS, or Multiple Systemic Infectious Disease Syndrome, a new lens on chronic illness that may prove to be an important missing link.

- Covers in detail Lyme's leading symptoms and co-infections, including immune dysfunction, sleep disorders, chronic pain and neurodegenerative disorders - providing a unique functional and integrative health care model, based on the most up-to-date scientific research, for physicians and health care providers to effectively treat Lyme and other chronic illnesses.

Cutting through the frustration, misinformation and endless questions, Dr. Horowitz's enlightening story of medical discovery, science and politics is an all-in-one source for patients of chronic illness to identify their own symptoms and work with their doctors for the best possible treatment outcome.

Andreas Deutsch
This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential to solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modelling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computations and visualization, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact undisputable. Insights and predictions from mathematical modelling are used increasingly in de- sion support in medicine (e.g., immunology and spread of infectious diseases, cancer research, cardiovascular research, neurological research, optimization of medical tre- ments,imaging),environmentalandnaturemanagement,climateproblems,agriculture and management of natural resources. Fast developments in areas such as biotechn- ogy (e.g., genome projects, genetic modi?cation, tissue engineering) continue to add new focal points of activity to the ?eld. The contributions of this volume capture some of these developments.
Hakan Andersson
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