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Author : Wei Wang
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.:/5 (576 download)
Download or read book Stochastic and State Space Models in Carcinogenesis and Cell Populations written by Wei Wang and published by . This book was released on 2000 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xiaowei Yan
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (958 download)
Download or read book Stochastic and State Space Models of Carcinogenesis Under Complex Situation written by Xiaowei Yan and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: With more and more biological mechanisms of cancer development being discovered, in order to improve cancer control and prevention, it becomes necessary to develop effective and efficient mathematical and statistical models and methods to incorporate the biological information, and to identify critical events in the process of carcinogenesis. In this dissertation, the complex nature of carcinogenesis has been represented by stochastic system model; combining this model with information from observations and prior knowledge, we have developed state space models to evaluate cancer gene mutations and cell proliferation at different cancer development stages. Also, we have proposed a generalized Bayesian method via multi-level Gibbs sampling procedure to predict state (stage) variables of the models. In this dissertation, stochastic models have been proposed for initiation, promotion and complete carcinomas experiments; these experiments are most commonly performed in cancer risk assessment of environmental agents. These stochastic models are simple multi-pathway models which are constructed based on biological mechanisms. The estimates we obtained from the models have provided quantitative evaluation of dose related mutation rates of major genes and cells proliferation rates; these results could be used to assess the risk of developing malignant tumor in the environment we live. More complicated stochastic and state space models have been developed for sporadic human colon cancer and for hereditary and non-hereditary human liver cancer. We have utilized the proposed models to fit to Surveillance Epidemiology and End Results (SEER) data. The results imply that our models have effectively incorporated biological information and observations; these models fitted the data very well and the inferences based on estimate were very consistent with biological findings. Furthermore, the models reflected the complex nature of carcinogenesis. We notice that many cancers are developed through multiple-stage multiple-pathway. Our analyses of colon cancer and liver cancer have showed that some pathways are more devastated than others. This suggests thus it would be more efficient to intervene or treat the critical events in the more devastated pathways. .
Author : Wai-Yuan Tan
Publisher : CRC Press
ISBN 13 : 1000723461
Total Pages : 280 pages
Book Rating : 4.0/5 (7 download)
Download or read book Stochastic Models for Carcinogenesis written by Wai-Yuan Tan and published by CRC Press. This book was released on 2020-01-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date survey of mathematical models of carcinogenesis, providing the most recent findings of cancer biology as evidence of the models, as well as extensive bibliographies of cancer biology and in-depth mathematical analyses for each of the models. May be used as a reference for biostaticians, biometricians, mathematical and molecular biologists, applied mathematicians, oncologists, cancer and toxicology researchers, environmental scientists, and graduate students in these fields.
Author : W. Y. Tan
Publisher : World Scientific
ISBN 13 : 981439095X
Total Pages : 523 pages
Book Rating : 4.8/5 (143 download)
Download or read book Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems (second Edition) written by W. Y. Tan and published by World Scientific. This book was released on 2015-10-28 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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."--
Author : W. Y. Tan
Publisher : World Scientific
ISBN 13 : 9789810248697
Total Pages : 464 pages
Book Rating : 4.2/5 (486 download)
Download or read book Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems written by W. Y. Tan and published by World Scientific. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Lijun Zhang
Publisher :
ISBN 13 :
Total Pages : 242 pages
Book Rating : 4.:/5 (269 download)
Download or read book Stochastic and State Space Models of Carcinogenesis with Applications written by Lijun Zhang and published by . This book was released on 2008 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wai-yuan Tan
Publisher : World Scientific
ISBN 13 : 981448931X
Total Pages : 458 pages
Book Rating : 4.8/5 (144 download)
Download or read book Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems written by Wai-yuan Tan and published by World Scientific. This book was released on 2002-02-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : W. Y. Tan
Publisher : World Scientific
ISBN 13 : 9812779485
Total Pages : 592 pages
Book Rating : 4.8/5 (127 download)
Download or read book Handbook of Cancer Models with Applications written by W. Y. Tan and published by World Scientific. This book was released on 2008 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composed of contributions from an international team of leading researchers, this book pulls together the most recent research results in the field of cancer modeling to provide readers with the most advanced mathematical models of cancer and their applications.Topics included in the book cover oncogenetic trees, stochastic multistage models of carcinogenesis, effects of ionizing radiation on cell cycle and genomic instability, induction of DNA damage by ionizing radiation and its repair, epigenetic cancer models, bystander effects of radiation, multiple pathway models of human colon cancer, and stochastic models of metastasis. The book also provides some important applications of cancer models to the assessment of cancer risk associated with various hazardous environmental agents, to cancer screening by MRI, and to drug resistance in cancer chemotherapy. An updated statistical design and analysis of xenograft experiments as well as a statistical analysis of cancer occult clinical data are also provided.The book will serve as a useful source of reference for researchers in biomathematics, biostatistics and bioinformatics; for clinical investigators and medical doctors employing quantitative methods to develop procedures for cancer diagnosis, prevention, control and treatment; and for graduate students.
Author : Yue Wang
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (17 download)
Download or read book Some Problems in Stochastic Dynamics and Statistical Analysis of Single-cell Biology of Cancer written by Yue Wang and published by . This book was released on 2018 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: With recent development of instrumentations, data collection capabilities, and computational soft-wares, in cancer biology now one has high-throughput data on individual cells in a population: its heterogeneous genomic makeups and/or phenotypic molecular markers. At this level of description, stochasticity is a significant component of dynamics of single cells. Using purely deterministic representations and mathematical models is no longer realistic nor desirable. In addition, most traditional deterministic models are based on differential equations and dynamical systems with real numbers; single cell data are too discrete to fit a continuous state space. This dissertation consists of three parts: Motivated by laboratory measurements, carried out at Institute for Systems Biology, on the stochastic population growth of Leukemia cells (HL60), Part I, Chapter 2 reports statistical analysis of data and develops dynamic modesl in terms of birth-death processes. It is shown that even in the very earlier stage of ~ 10 cells, there exists already multiple phenotypes in the population: This result invalidates the naive assumption of statistically identical individuals in exponential cell growth. Then in Chapter 3, branching processes are introduced to study the equilibrium of heterogeneous cell population with multiple phenotype switching. A law of large numbers is proven. A proof of mathematical relationship between multi-type branching process and multi-dimensional birth-death process is given in Section 3.8.2. Part II addresses a central issue in data statistics: How to quanitfy the logic casual effect among observations of interdependent random variables. In terms of the notion of Markov boundary, we provide a rather coherent quantification of a class of causal inference. We prove that in certain special cases, quantifying causal effect is not possible. Computational algorithms for determining such scenarios are proposed and implemented. Stochastic processes employed in cancer biology and in statistical physics have a fundamental difference: The latter as models for inanimate matters require detailed balance while the former, as models of living organisms, have positive stationary entropy productions. In Part III (Chapter 5), we investigate a theoretical issue of irreversible Markov processes without detailed balance: How to represent the entropy production in a finite system through a lifting of this stochastic process. We prove that the entropy production rate in the finite system can be represented in terms of a potential function in the limited infinite system with detailed balance. We propose to use this mathematical result to unify the two different statements, due to Clausius and Lord Kelvin, of the Second Law of Thermodynamics.
Author : Neil Dubin
Publisher :
ISBN 13 : 9783642463396
Total Pages : 184 pages
Book Rating : 4.4/5 (633 download)
Download or read book A Stochastic Model for Immunological Feedback in Carcinogenesis written by Neil Dubin and published by . This book was released on 1976 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wai-yuan Tan
Publisher : World Scientific
ISBN 13 : 9814472263
Total Pages : 592 pages
Book Rating : 4.8/5 (144 download)
Download or read book Handbook Of Cancer Models With Applications written by Wai-yuan Tan and published by World Scientific. This book was released on 2008-06-02 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composed of contributions from an international team of leading researchers, this book pulls together the most recent research results in the field of cancer modeling to provide readers with the most advanced mathematical models of cancer and their applications.Topics included in the book cover oncogenetic trees, stochastic multistage models of carcinogenesis, effects of ionizing radiation on cell cycle and genomic instability, induction of DNA damage by ionizing radiation and its repair, epigenetic cancer models, bystander effects of radiation, multiple pathway models of human colon cancer, and stochastic models of metastasis. The book also provides some important applications of cancer models to the assessment of cancer risk associated with various hazardous environmental agents, to cancer screening by MRI, and to drug resistance in cancer chemotherapy. An updated statistical design and analysis of xenograft experiments as well as a statistical analysis of cancer occult clinical data are also provided.The book will serve as a useful source of reference for researchers in biomathematics, biostatistics and bioinformatics; for clinical investigators and medical doctors employing quantitative methods to develop procedures for cancer diagnosis, prevention, control and treatment; and for graduate students.
Author : Don Hong
Publisher : World Scientific
ISBN 13 : 9814476234
Total Pages : 364 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantitative Medical Data Analysis Using Mathematical Tools And Statistical Techniques written by Don Hong and published by World Scientific. This book was released on 2007-07-10 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative biomedical data analysis is a fast-growing interdisciplinary area of applied and computational mathematics, statistics, computer science, and biomedical science, leading to new fields such as bioinformatics, biomathematics, and biostatistics. In addition to traditional statistical techniques and mathematical models using differential equations, new developments with a very broad spectrum of applications, such as wavelets, spline functions, curve and surface subdivisions, sampling, and learning theory, have found their mathematical home in biomedical data analysis.This book gives a new and integrated introduction to quantitative medical data analysis from the viewpoint of biomathematicians, biostatisticians, and bioinformaticians. It offers a definitive resource to bridge the disciplines of mathematics, statistics, and biomedical sciences. Topics include mathematical models for cancer invasion and clinical sciences, data mining techniques and subset selection in data analysis, survival data analysis and survival models for cancer patients, statistical analysis and neural network techniques for genomic and proteomic data analysis, wavelet and spline applications for mass spectrometry data preprocessing and statistical computing.
Author : Susie Nilsson
Publisher : Academic Press
ISBN 13 : 0323853250
Total Pages : 246 pages
Book Rating : 4.3/5 (238 download)
Download or read book The Cancer Stem Cell Niche written by Susie Nilsson and published by Academic Press. This book was released on 2021-02-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cancer Stem Cell Niche, Volume Five in the Advances in Stem Cells and their Niches series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Acute lymphoblastic leukemia and the bone marrow microenvironment, Stem cell niches in bone and their roles in cancer metastasis, The role of vasculature in cancer stem cell niches, The lung cancer stem cell niche, The prostate cancer stem cell niche: Genetic drivers and therapeutic approaches, Impact of prostate cancer stem cell niches on prostate cancer tumorigenesis and progression, The testicular cancer stem cell niche. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Advances in Stem Cells and their Niches series Includes the latest information on the Cancer Stem Cell Niche
Author : Lutz Edler
Publisher : John Wiley & Sons
ISBN 13 : 9780470857564
Total Pages : 510 pages
Book Rating : 4.8/5 (575 download)
Download or read book Recent Advances in Quantitative Methods in Cancer and Human Health Risk Assessment written by Lutz Edler and published by John Wiley & Sons. This book was released on 2005-05-27 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human health risk assessment involves the measuring of risk of exposure to disease, with a view to improving disease prevention. Mathematical, biological, statistical, and computational methods play a key role in exposure assessment, hazard assessment and identification, and dose-response modelling. Recent Advances in Quantitative Methods in Cancer and Human Health Risk Assessment is a comprehensive text that accounts for the wealth of new biological data as well as new biological, toxicological, and medical approaches adopted in risk assessment. It provides an authoritative compendium of state-of-the-art methods proposed and used, featuring contributions from eminent authors with varied experience from academia, government, and industry. Provides a comprehensive summary of currently available quantitative methods for risk assessment of both cancer and non-cancer problems. Describes the applications and the limitations of current mathematical modelling and statistical analysis methods (classical and Bayesian). Includes an extensive introduction and discussion to each chapter. Features detailed studies of risk assessments using biologically-based modelling approaches. Discusses the varying computational aspects of the methods proposed. Provides a global perspective on human health risk assessment by featuring case studies from a wide range of countries. Features an extensive bibliography with links to relevant background information within each chapter. Recent Advances in Quantitative Methods in Cancer and Human Health Risk Assessment will appeal to researchers and practitioners in public health & epidemiology, and postgraduate students alike. It will also be of interest to professionals working in risk assessment agencies.
Author : O Arino
Publisher : World Scientific
ISBN 13 : 981454597X
Total Pages : 910 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advances In Mathematical Population Dynamics -- Molecules, Cells And Man - Proceedings Of The 4th International Conference On Mathematical Population Dynamics written by O Arino and published by World Scientific. This book was released on 1997-12-04 with total page 910 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of refereed papers presented at the 4th International Conference on Mathematical Population Dynamics. The selection of papers and their organization were made by the following persons: O Arino, D Axelrod, V Capasso, W Fitzgibbon, P Jagers, M Kimmel, D Kirschner, C Mode, B Novak, R Sachs, W Stephan, A Swierniak and H Thieme.It features some of the new trends in cell and human population dynamics. The main link between the two traits is that human populations of concern here are essentially those subject to cell diseases, either the processes of anarchic proliferation or those by which some cell lines are killed by an infectious agent.The volume is divided into 3 main parts. Each part is subdivided into chapters, each chapter concentrating on a specific aspect. Each aspect is illustrated by one or several examples, developed in sections contributed by several authors. A detailed introduction for each part will enable the reader to refer to chapters of interest. An index and a bibliography for each part is also included for easy reference.This book will be useful for those interested in the subject matter.
Author : Narayanaswamy Balakrishnan
Publisher : John Wiley & Sons
ISBN 13 : 0470405090
Total Pages : 1027 pages
Book Rating : 4.4/5 (74 download)
Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.
Author : Dominik Wodarz
Publisher : World Scientific
ISBN 13 : 9814566381
Total Pages : 533 pages
Book Rating : 4.8/5 (145 download)
Download or read book Dynamics Of Cancer: Mathematical Foundations Of Oncology written by Dominik Wodarz and published by World Scientific. This book was released on 2014-04-24 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells.
