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Biomathematical Problems In Optimization Of Cancer Radiotherapy
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Book Synopsis Biomathematical Problems in Optimization of Cancer Radiotherapy by : A.Y. Yakovlev
Download or read book Biomathematical Problems in Optimization of Cancer Radiotherapy written by A.Y. Yakovlev and published by CRC Press. This book was released on 2020-11-26 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomathematical Problems in Optimization of Cancer Radiotherapy provides insight into the role of cell population heterogeneity in the optimal control of fractionated irradiation of tumors. The book emphasizes the mathematical modeling aspect of the problem and presents the state of the art in the stochastic description of irradiated cell survival. Some of the results are of general theoretical interest and can be applied to other areas of optimal control methodology. Detailed explanations of all mathematical statements are provided throughout the text. The book is excellent for biomathematicians, radiotherapists, oncologists, health physicists, and other researchers and students interested in the topic.
Book Synopsis Biomathematical Problems in Optimization of Cancer Radiotherapy by : A.Y. Yakovlev
Download or read book Biomathematical Problems in Optimization of Cancer Radiotherapy written by A.Y. Yakovlev and published by CRC Press. This book was released on 2020-11-25 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomathematical Problems in Optimization of Cancer Radiotherapy provides insight into the role of cell population heterogeneity in the optimal control of fractionated irradiation of tumors. The book emphasizes the mathematical modeling aspect of the problem and presents the state of the art in the stochastic description of irradiated cell survival. Some of the results are of general theoretical interest and can be applied to other areas of optimal control methodology. Detailed explanations of all mathematical statements are provided throughout the text. The book is excellent for biomathematicians, radiotherapists, oncologists, health physicists, and other researchers and students interested in the topic.
Book Synopsis Optimization of Human Cancer Radiotherapy by : G.W. Swan
Download or read book Optimization of Human Cancer Radiotherapy written by G.W. Swan and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical models in this book are concerned with a variety of approaches to the manner in which the clinical radiologic treatment of human neoplasms can be improved. These improvements comprise ways of delivering radiation to the malignan cies so as to create considerable damage to tumor cells while sparing neighboring normal tissues. There is no unique way of dealing with these improvements. Accord ingly, in this book a number of different presentations are given. Each presentation has as its goal some aspect of the improvement, or optimization, of radiotherapy. This book is a collection of current ideas concerned with the optimization of human cancer radiotherapy. It is hoped that readers will build on this collection and develop superior approaches for the understanding of the ways to improve therapy. The author owes a special debt of thanks to Kathy Prindle who breezed through the typing of this book with considerable dexterity. TABLE OF CONTENTS Chapter GENERAL INTRODUCTION 1. 1 Introduction 1 1. 2 History of Cancer and its Treatment by Radiotherapy 8 1. 3 Some Mathematical Models of Tumor Growth 12 1. 4 Spatial Distribution of the Radiation Dose 20 Chapter 2 SURVIVAL CURVES FROM STATISTICAL MODELS 24 2. 1 Introduction 24 2. 2 The Target Model 26 2. 3 Single-hit-to-kill Model 27 2. 4 Multitarget, Single-hit Survival 29 2. 5 Multitarget, Multihit Survival 31 2. 6 Single-target, Multihit Survival 31 2.
Book Synopsis Stochastic Models of Tumor Latency and Their Biostatistical Applications by : Andrej Yu Yakovlev
Download or read book Stochastic Models of Tumor Latency and Their Biostatistical Applications written by Andrej Yu Yakovlev and published by World Scientific. This book was released on 1996 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph discusses newly developed mathematical models and methods that provide biologically meaningful inferences from data on cancer latency produced by follow-up and discrete surveillance studies. Methods for designing optimal strategies of cancer surveillance are systematically presented for the first time in this book. It offers new approaches to the stochastic description of tumor latency, employs biologically-based models for making statistical inference from data on tumor recurrence and also discusses methods of statistical analysis of data resulting from discrete surveillance strategies. It also offers insight into the role of prognostic factors based on the interpretation of their effects in terms of parameters endowed with biological meaning, as well as methods for designing optimal schedules of cancer screening and surveillance. Last but not least, it discusses survival models allowing for cure rates and the choice of optimal treatment based on covariate information, and presents numerous examples of real data analysis.
Book Synopsis National Library of Medicine Current Catalog by : National Library of Medicine (U.S.)
Download or read book National Library of Medicine Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on 1993 with total page 1536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistical Modeling for Biological Systems by : Anthony Almudevar
Download or read book Statistical Modeling for Biological Systems written by Anthony Almudevar and published by Springer Nature. This book was released on 2020-03-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the scientific contributions of distinguished statistician, Andrei Yakovlev. It reflects upon Dr. Yakovlev’s many research interests including stochastic modeling and the analysis of micro-array data, and throughout the book it emphasizes applications of the theory in biology, medicine and public health. The contributions to this volume are divided into two parts. Part A consists of original research articles, which can be roughly grouped into four thematic areas: (i) branching processes, especially as models for cell kinetics, (ii) multiple testing issues as they arise in the analysis of biologic data, (iii) applications of mathematical models and of new inferential techniques in epidemiology, and (iv) contributions to statistical methodology, with an emphasis on the modeling and analysis of survival time data. Part B consists of methodological research reported as a short communication, ending with some personal reflections on research fields associated with Andrei and on his approach to science. The Appendix contains an abbreviated vitae and a list of Andrei’s publications, complete as far as we know. The contributions in this book are written by Dr. Yakovlev’s collaborators and notable statisticians including former presidents of the Institute of Mathematical Statistics and of the Statistics Section of the AAAS. Dr. Yakovlev’s research appeared in four books and almost 200 scientific papers, in mathematics, statistics, biomathematics and biology journals. Ultimately this book offers a tribute to Dr. Yakovlev’s work and recognizes the legacy of his contributions in the biostatistics community.
Book Synopsis Advances In Mathematical Population Dynamics -- Molecules, Cells And Man - Proceedings Of The 4th International Conference On Mathematical Population Dynamics by : O Arino
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.
Download or read book Mixed Models written by Eugene Demidenko and published by John Wiley & Sons. This book was released on 2005-01-28 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, self-contained examination of mixed model theory and application Mixed modeling is one of the most promising and exciting areas of statistical analysis, enabling the analysis of nontraditional, clustered data that may come in the form of shapes or images. This book provides in-depth mathematical coverage of mixed models’ statistical properties and numerical algorithms, as well as applications such as the analysis of tumor regrowth, shape, and image. Paying special attention to algorithms and their implementations, the book discusses: Modeling of complex clustered or longitudinal data Modeling data with multiple sources of variation Modeling biological variety and heterogeneity Mixed model as a compromise between the frequentist and Bayesian approaches Mixed model for the penalized log-likelihood Healthy Akaike Information Criterion (HAIC) How to cope with parameter multidimensionality How to solve ill-posed problems including image reconstruction problems Modeling of ensemble shapes and images Statistics of image processing Major results and points of discussion at the end of each chapter along with "Summary Points" sections make this reference not only comprehensive but also highly accessible for professionals and students alike in a broad range of fields such as cancer research, computer science, engineering, and industry.
Book Synopsis Optimal Control for Mathematical Models of Cancer Therapies by : Heinz Schättler
Download or read book Optimal Control for Mathematical Models of Cancer Therapies written by Heinz Schättler and published by Springer. This book was released on 2015-09-15 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.
Book Synopsis Biomedical Index to PHS-supported Research: pt. A. Subject access A-H by :
Download or read book Biomedical Index to PHS-supported Research: pt. A. Subject access A-H written by and published by . This book was released on 1992 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cumulative Book Index written by and published by . This book was released on 1995 with total page 2264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.
Download or read book The Cumulative Book Index written by and published by . This book was released on 1995 with total page 2266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automatic Control and Computer Sciences by :
Download or read book Automatic Control and Computer Sciences written by and published by . This book was released on 2004 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Subject Index of Current Extramural Research Administered by the National Cancer Institute by : National Cancer Institute (U.S.)
Download or read book Subject Index of Current Extramural Research Administered by the National Cancer Institute written by National Cancer Institute (U.S.) and published by . This book was released on 1976 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides information concerning research grants and contracts supported by the National Cancer Institute.
Author :National Institutes of Health (U.S.). Division of Research Grants Publisher : ISBN 13 : Total Pages :1212 pages Book Rating :4.3/5 (91 download)
Book Synopsis Research Grants Index by : National Institutes of Health (U.S.). Division of Research Grants
Download or read book Research Grants Index written by National Institutes of Health (U.S.). Division of Research Grants and published by . This book was released on 1975 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 1994-04 with total page 1926 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Biomedical Index to PHS-supported Research by :
Download or read book Biomedical Index to PHS-supported Research written by and published by . This book was released on 1989 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: