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

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

  1. 460 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

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

About this book

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 many state space models for many genetic problems, carcinogenesis and other biomedical problems.

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Yes, you can access Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems by Wai-yuan Tan in PDF and/or ePUB format, as well as other popular books in Mathematics & Probability & Statistics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Contents
  2. Preface
  3. 1 Introduction
  4. 2 Discrete Time Markov Chain Models in Genetics and Biomedical Systems
  5. 3 Stationary Distributions and MCMC in Discrete Time Markov Chains
  6. 4 Continuous-Time Markov Chain Models in Genetics Cancers and AIDS
  7. 5 Absorption Probabilities and Stationary Distributions in Continuous-Time Markov Chain Models
  8. 6 Diffusion Models in Genetics Cancer and AIDS
  9. 7 Asymptotic Distributions Stationary Distributions and Absorption Probabilities in Diffusion Models
  10. 8 State Space Models and Some Examples from Cancer and AIDS
  11. 9 Some General Theories of State Space Models and Applications
  12. Subject Index