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Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems

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Title: Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems
Description: 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.
Authors: Wai-yuan Tan
Resource Type: eBook.
Subjects: Genetics--Mathematical models, Stochastic processes, Medicine--Mathematical models, Cancer--Mathematical models, AIDS (Disease)--Mathematical models
Categories: MATHEMATICS / Applied, MATHEMATICS / Probability & Statistics / General, SCIENCE / Life Sciences / Genetics & Genomics
Database: eBook Collection (EBSCOhost)
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DbLabel: eBook Collection (EBSCOhost)
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PubType: eBook
PubTypeId: ebook
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  Data: Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems
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  Data: 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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RecordInfo BibRecord:
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      – Code: 610.15195
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Genetics--Mathematical models
        Type: general
      – SubjectFull: Stochastic processes
        Type: general
      – SubjectFull: Medicine--Mathematical models
        Type: general
      – SubjectFull: Cancer--Mathematical models
        Type: general
      – SubjectFull: AIDS (Disease)--Mathematical models
        Type: general
    Titles:
      – TitleFull: Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Wai-yuan Tan
      – PersonEntity:
          Name:
            NameFull: Wai-yuan Tan
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2015
            – D: 10
              M: 11
              Type: profile
              Y: 2015
          Identifiers:
            – Type: isbn-print
              Value: 9789814390941
            – Type: isbn-electronic
              Value: 9789814390958
            – Type: isbn-electronic
              Value: 9789814397216
          Numbering:
            – Type: volume
              Value: 00019
          Titles:
            – TitleFull: Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems
              Type: main
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