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Author : Michael David Nicholson
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (17 download)
Download or read book Applications of Branching Processes to Cancer Evolution and Initiation written by Michael David Nicholson and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ruibo Zhang
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)
Download or read book Branching Process Models for Cancer Evolution written by Ruibo Zhang and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study a multi-type branching process model associated with a transitional network between types. In particular, we are interested in determining the waiting time to each type in the network, employing an approximation of the process by its large time limit. We first present a literature review of results on large time limits and classify the dynamics of branching processes by their mean value matrices. For the special case when the transitional network is a single pathway, we present two approaches regarding approximating the waiting time for each type. To apply our theory to a real world problem, we use a multi-type branching process to model the development of colorectal cancer from initially healthy tissue. The model incorporates a complex sequence of driver gene alterations, some of which result in immediate growth advantage, while others have initially neutral effects. We derive analytic estimates for the sizes of premalignant subpopulations, and use these results to compute the waiting time distributions of novel driver mutations.
Author : Richard Durrett
Publisher : Springer
ISBN 13 : 3319160656
Total Pages : 73 pages
Book Rating : 4.3/5 (191 download)
Download or read book Branching Process Models of Cancer written by Richard Durrett and published by Springer. This book was released on 2015-06-20 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops results on continuous time branching processes and applies them to study rate of tumor growth, extending classic work on the Luria-Delbruck distribution. As a consequence, the author calculate the probability that mutations that confer resistance to treatment are present at detection and quantify the extent of tumor heterogeneity. As applications, the author evaluate ovarian cancer screening strategies and give rigorous proofs for results of Heano and Michor concerning tumor metastasis. These notes should be accessible to students who are familiar with Poisson processes and continuous time Markov chains. Richard Durrett is a mathematics professor at Duke University, USA. He is the author of 8 books, over 200 journal articles, and has supervised more than 40 Ph.D students. Most of his current research concerns the applications of probability to biology: ecology, genetics and most recently cancer.
Author : Charles Swanton
Publisher : Perspectives Cshl
ISBN 13 : 9781621821434
Total Pages : 350 pages
Book Rating : 4.8/5 (214 download)
Download or read book Cancer Evolution written by Charles Swanton and published by Perspectives Cshl. This book was released on 2017 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tumor progression is driven by mutations that confer growth advantages to different subpopulations of cancer cells. As a tumor grows, these subpopulations expand, accumulate new mutations, and are subjected to selective pressures from the environment, including anticancer interventions. This process, termed clonal evolution, can lead to the emergence of therapy-resistant tumors and poses a major challenge for cancer eradication efforts. Written and edited by experts in the field, this collection from Cold Spring Harbor Perspectives in Medicine examines cancer progression as an evolutionary process and explores how this way of looking at cancer may lead to more effective strategies for managing and treating it. The contributors review efforts to characterize the subclonal architecture and dynamics of tumors, understand the roles of chromosomal instability, driver mutations, and mutation order, and determine how cancer cells respond to selective pressures imposed by anticancer agents, immune cells, and other components of the tumor microenvironment. They compare cancer evolution to organismal evolution and describe how ecological theories and mathematical models are being used to understand the complex dynamics between a tumor and its microenvironment during cancer progression. The authors also discuss improved methods to monitor tumor evolution (e.g., liquid biopsies) and the development of more effective strategies for managing and treating cancers (e.g., immunotherapies). This volume will therefore serve as a vital reference for all cancer biologists as well as anyone seeking to improve clinical outcomes for patients with cancer.
Author : Xuan Guo
Publisher : Springer Nature
ISBN 13 : 9819970741
Total Pages : 567 pages
Book Rating : 4.8/5 (199 download)
Download or read book Bioinformatics Research and Applications written by Xuan Guo and published by Springer Nature. This book was released on 2023-11-08 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 19th International Symposium on Bioinformatics Research and Applications, ISBRA 2023, held in Wrocław, Poland, during October 9–12, 2023. The 28 full papers and 16 short papers included in this book were carefully reviewed and selected from 89 submissions. They were organized in topical sections as follows: reconciling inconsistent molecular structures from biochemical databases; radiology report generation via visual recalibration and context gating-aware; sequence-based nanobody-antigen binding prediction; and hist2Vec: kernel-based embeddings for biological sequence classification.
Author : Marek Kimmel
Publisher : Springer
ISBN 13 : 1493915592
Total Pages : 293 pages
Book Rating : 4.4/5 (939 download)
Download or read book Branching Processes in Biology written by Marek Kimmel and published by Springer. This book was released on 2015-02-17 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical background of branching processes and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters, and two glossaries are included that provide background material in mathematics and in biology. The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology for this new edition. This second expanded edition adds new material published during the last decade, with nearly 200 new references. More material has been added on infinitely-dimensional multitype processes, including the infinitely-dimensional linear-fractional case. Hypergeometric function treatment of the special case of the Griffiths-Pakes infinite allele branching process has also been added. There are additional applications of recent molecular processes and connections with systems biology are explored, and a new chapter on genealogies of branching processes and their applications. Reviews of First Edition: "This is a significant book on applications of branching processes in biology, and it is highly recommended for those readers who are interested in the application and development of stochastic models, particularly those with interests in cellular and molecular biology." (Siam Review, Vol. 45 (2), 2003) “This book will be very interesting and useful for mathematicians, statisticians and biologists as well, and especially for researchers developing mathematical methods in biology, medicine and other natural sciences.” (Short Book Reviews of the ISI, Vol. 23 (2), 2003)
Author : Caterina A. M. La Porta
Publisher : Cambridge University Press
ISBN 13 : 1108150330
Total Pages : 187 pages
Book Rating : 4.1/5 (81 download)
Download or read book The Physics of Cancer written by Caterina A. M. La Porta and published by Cambridge University Press. This book was released on 2017-04-20 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have witnessed an increasing number of theoretical and experimental contributions to cancer research from different fields of physics, from biomechanics and soft-condensed matter physics to the statistical mechanics of complex systems. Reviewing these contributions and providing a sophisticated overview of the topic, this is the first book devoted to the emerging interdisciplinary field of cancer physics. Systematically integrating approaches from physics and biology, it includes topics such as cancer initiation and progression, metastasis, angiogenesis, cancer stem cells, tumor immunology, cancer cell mechanics and migration. Biological hallmarks of cancer are presented in an intuitive yet comprehensive way, providing graduate-level students and researchers in physics with a thorough introduction to this important subject. The impact of the physical mechanisms of cancer are explained through analytical and computational models, making this an essential reference for cancer biologists interested in cutting-edge quantitative tools and approaches coming from physics.
Author : Geng Chen
Publisher : Frontiers Media SA
ISBN 13 : 2832502504
Total Pages : 284 pages
Book Rating : 4.8/5 (325 download)
Download or read book The Application of Sequencing Technologies and Bioinformatics Methods in Cancer Biology written by Geng Chen and published by Frontiers Media SA. This book was released on 2022-10-17 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sergei Silvestrov
Publisher : Springer
ISBN 13 : 3030028259
Total Pages : 482 pages
Book Rating : 4.0/5 (3 download)
Download or read book Stochastic Processes and Applications written by Sergei Silvestrov and published by Springer. This book was released on 2018-12-05 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in stochastic processes, probability theory, mathematical statistics, engineering mathematics and algebraic structures, focusing on mathematical models, structures, concepts, problems and computational methods and algorithms important in modern technology, engineering and natural sciences applications. It comprises selected, high-quality, refereed contributions from various large research communities in modern stochastic processes, algebraic structures and their interplay and applications. The chapters cover both theory and applications, illustrated by numerous figures, schemes, algorithms, tables and research results to help readers understand the material and develop new mathematical methods, concepts and computing applications in the future. Presenting new methods and results, reviews of cutting-edge research, and open problems and directions for future research, the book serves as a source of inspiration for a broad spectrum of researchers and research students in probability theory and mathematical statistics, applied algebraic structures, applied mathematics and other areas of mathematics and applications of mathematics. The book is based on selected contributions presented at the International Conference on “Stochastic Processes and Algebraic Structures – From Theory Towards Applications” (SPAS2017) to mark Professor Dmitrii Silvestrov’s 70th birthday and his 50 years of fruitful service to mathematics, education and international cooperation, which was held at Mälardalen University in Västerås and Stockholm University, Sweden, in October 2017.
Author : Patsy Haccou
Publisher : Cambridge University Press
ISBN 13 : 9780521832205
Total Pages : 342 pages
Book Rating : 4.8/5 (322 download)
Download or read book Branching Processes written by Patsy Haccou and published by Cambridge University Press. This book was released on 2005-05-19 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the mathematical idea of branching processes, and tailors it for a biological audience.
Author : Claudia Mierke
Publisher : Iph001
ISBN 13 : 9780750317511
Total Pages : 500 pages
Book Rating : 4.3/5 (175 download)
Download or read book Physics of Cancer written by Claudia Mierke and published by Iph001. This book was released on 2018-10-24 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised second edition is improved linguistically with multiple increases of the number of figures and the inclusion of several novel chapters such as actin filaments during matrix invasion, microtubuli during migration and matrix invasion, nuclear deformability during migration and matrix invasion, and the active role of the tumor stroma in regulating cell invasion.
Author : Alecsandru Ioan Baba
Publisher :
ISBN 13 : 9789732714577
Total Pages : 787 pages
Book Rating : 4.7/5 (145 download)
Download or read book Comparative Oncology written by Alecsandru Ioan Baba and published by . This book was released on 2007 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bruce Alberts
Publisher :
ISBN 13 : 9780815332183
Total Pages : 0 pages
Book Rating : 4.3/5 (321 download)
Download or read book Molecular Biology of The Cell written by Bruce Alberts and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David F. Anderson
Publisher : Cambridge University Press
ISBN 13 : 110824498X
Total Pages : 447 pages
Book Rating : 4.1/5 (82 download)
Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.
Author : Alexander D Tsodikov
Publisher : World Scientific
ISBN 13 : 9814501840
Total Pages : 287 pages
Book Rating : 4.8/5 (145 download)
Download or read book Stochastic Models Of Tumor Latency And Their Biostatistical Applications written by Alexander D Tsodikov and published by World Scientific. This book was released on 1996-03-20 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.
Author : Steven A. Frank
Publisher : Princeton University Press
ISBN 13 : 0691186863
Total Pages : 393 pages
Book Rating : 4.6/5 (911 download)
Download or read book Dynamics of Cancer written by Steven A. Frank and published by Princeton University Press. This book was released on 2018-06-05 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The onset of cancer presents one of the most fundamental problems in modern biology. In Dynamics of Cancer, Steven Frank produces the first comprehensive analysis of how particular genetic and environmental causes influence the age of onset. The book provides a unique conceptual and historical framework for understanding the causes of cancer and other diseases that increase with age. Using a novel quantitative framework of reliability and multistage breakdown, Frank unifies molecular, demographic, and evolutionary levels of analysis. He interprets a wide variety of observations on the age of cancer onset, the genetic and environmental causes of disease, and the organization of tissues with regard to stem cell biology and somatic mutation. Frank uses new quantitative methods to tackle some of the classic problems in cancer biology and aging: how the rate of increase in the incidence of lung cancer declines after individuals quit smoking, the distinction between the dosage of a chemical carcinogen and the time of exposure, and the role of inherited genetic variation in familial patterns of cancer. This is the only book that presents a full analysis of the age of cancer onset. It is a superb teaching tool and a rich source of ideas for new and experienced researchers. For cancer biologists, population geneticists, evolutionary biologists, and demographers interested in aging, this book provides new insight into disease progression, the inheritance of predisposition to disease, and the evolutionary processes that have shaped organismal design.
Author : Luigi Preziosi
Publisher : CRC Press
ISBN 13 : 9780203494899
Total Pages : 456 pages
Book Rating : 4.4/5 (948 download)
Download or read book Cancer Modelling and Simulation written by Luigi Preziosi and published by CRC Press. This book was released on 2003-06-18 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding how cancer tumours develop and spread is vital for finding treatments and cures. Cancer Modelling and Simulation demonstrates how mathematical modelling and computer simulation techniques are used to discover and gain insight into the dynamics of tumour development and growth. It highlights the benefits of tumour modelling, such as discovering optimal tumour therapy schedules, identifying the most promising candidates for further clinical investigation, and reducing the number of animal experiments. By examining the analytical, mathematical, and biological aspects of tumour growth and modelling, the book provides a common language and knowledge for professionals in several disciplines.
