Biomathematical Problems In Optimization Of Cancer Radiotherapy
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Biomathematical Problems In Optimization Of Cancer Radiotherapy
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Author : A.Y. Yakovlev
language : en
Publisher: CRC Press
Release Date : 2020-11-25
Biomathematical Problems In Optimization Of Cancer Radiotherapy written by A.Y. Yakovlev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Health & Fitness categories.
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.
Optimization Problems In Radiotherapy For Hypoxic Tumors
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Author : Alexei V. Chvetsov
language : en
Publisher: Springer Nature
Release Date : 2025-06-24
Optimization Problems In Radiotherapy For Hypoxic Tumors written by Alexei V. Chvetsov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-24 with Science categories.
This book highlights the mathematical aspects of treatment outcomes analysis and dose optimization in radiotherapy for heterogeneous hypoxic tumors. Hypoxia is a major factor of cancer resistance to radiotherapy treatment and is present in most tumors encountered in humans. The author tried to present a systematic consideration of radiotherapy for hypoxic tumors, but the emphasis was put on mathematical content of the problems. The book contains new approaches to the concepts of tumor control probability, equivalent uniform dose and radiotherapy dose optimization for hypoxic tumors developed by the author. Significant attention in this book is paid to comparison of models with measured and clinical data; therefore, the reduction of model parameters to overcome overfitting (model parsimony) was followed as much as possible.
Stochastic Models Of Tumor Latency And Their Biostatistical Applications
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Author : Andrej Yu Yakovlev
language : en
Publisher: World Scientific
Release Date : 1996
Stochastic Models Of Tumor Latency And Their Biostatistical Applications written by Andrej Yu Yakovlev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Medical categories.
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.
Advances In Mathematical Population Dynamics Molecules Cells And Man Proceedings Of The 4th International Conference On Mathematical Population Dynamics
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Author : O Arino
language : en
Publisher: World Scientific
Release Date : 1997-12-04
Advances In Mathematical Population Dynamics Molecules Cells And Man Proceedings Of The 4th International Conference On Mathematical Population Dynamics written by O Arino and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-04 with Mathematics categories.
This book presents a new approach to the subject of cosmology. It fully exploits Einstein's theory of general relativity. It is found that the most general formal expression of the theory replaces the (10-component) tensor formalism with a (16-component) quaternion formalism. This leads to a unified field theory, where one field incorporates gravitation and electromagnetism. The theory predicts an oscillating universe cosmology with a spiral configuration. Dark matter is explained in terms of a sea of particle-antiparticle pairs, each in a particular (derived) ground state. This leads to an explanation for the separation between matter and antimatter in the universe. There is a brief discussion of black holes and pulsars. The final chapter delves into philosophical considerations such as the different types of ‘truth’, positivism versus realism and a discussion of the role of the Mach principle in physics and cosmology./a
National Library Of Medicine Current Catalog
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Author : National Library of Medicine (U.S.)
language : en
Publisher:
Release Date : 1982
National Library Of Medicine Current Catalog written by National Library of Medicine (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Medicine categories.
Statistical Modeling For Biological Systems
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Author : Anthony Almudevar
language : en
Publisher: Springer Nature
Release Date : 2020-03-11
Statistical Modeling For Biological Systems written by Anthony Almudevar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-11 with Medical categories.
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.
Kfk
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Author :
language : en
Publisher:
Release Date : 1994
Kfk written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Nuclear physics categories.
Mixed Models
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Author : Eugene Demidenko
language : en
Publisher: John Wiley & Sons
Release Date : 2005-01-28
Mixed Models written by Eugene Demidenko and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-28 with Mathematics categories.
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.
Stability Problems For Stochastic Models
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Author : Vladimir V. Kalashnikov
language : en
Publisher: Springer
Release Date : 2006-11-14
Stability Problems For Stochastic Models written by Vladimir V. Kalashnikov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Traditionally the Stability seminar, organized in Moscow but held in different locations, has dealt with a spectrum of topics centering around characterization problems and their stability, limit theorems, probabil- ity metrics and theoretical robustness. This volume likewise focusses on these main topics in a series of original and recent research articles.
Biomedical Index To Phs Supported Research Pt A Subject Access A H
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Author :
language : en
Publisher:
Release Date : 1992
Biomedical Index To Phs Supported Research Pt A Subject Access A H written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Medicine categories.