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Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems (Hardcover, Second Edition)
Loot Price: R5,065
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Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems (Hardcover, Second Edition)
Series: Series on Concrete & Applicable Mathematics, 19
Expected to ship within 12 - 17 working days
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This book presents a systematic treatment of Markov chains,
diffusion processes and state space models, as well as alternative
approaches to Markov chains through stochastic difference equations
and stochastic differential equations. It illustrates how these
processes and approaches are applied to many problems in genetics,
carcinogenesis, AIDS epidemiology and other biomedical systems.One
feature of the book is that it describes the basic MCMC (Markov
chain and Monte Carlo) procedures and illustrates how to use the
Gibbs sampling method and the multilevel Gibbs sampling method to
solve many problems in genetics, carcinogenesis, AIDS and other
biomedical systems.As another feature, the book develops many state
space models for many genetic problems, carcinogenesis, AIDS
epidemiology and HIV pathogenesis. It shows in detail how to use
the multilevel Gibbs sampling method to estimate (or predict)
simultaneously the state variables and the unknown parameters in
cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV
pathogenesis. As a matter of fact, this book is the first to
develop several state space models for many genetic problems,
carcinogenesis and other biomedical problems.To emphasize special
applications to medical problems, in this new edition the book has
added a new chapter to illustrate how to develop
biologically-supported stochastic models and state space models of
carcinogenesis in human beings. Specific examples include hidden
Markov models and state space models for human colon cancer, human
liver cancer and some human pediatric cancers such as
retinoblastoma and hepatoblastoma. The book also gives examples to
illustrate how to develop procedures to assess cancer risk of
environmental agents through initiation-promotion protocols.
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