Dynamics of Cancer

Mathematical Foundations of Oncology

Author: Dominik Wodarz,Natalia L Komarova

Publisher: World Scientific

ISBN: 9814566381

Category: Medical

Page: 532

View: 1802


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. Contents:Teaching GuideCancer and Somatic EvolutionMathematical Modeling of TumorigenesisBasic Growth Dynamics and Deterministic Models:Single Species GrowthTwo-Species Competition DynamicsCompetition Between Genetically Stable and Unstable CellsChromosomal Instability and Tumor GrowthAngiogenesis Inhibitors, Promoters, and Spatial GrowthEvolutionary Dynamics and Stochastic Models:Evolutionary Dynamics of Tumor Initiation Through Oncogenes: The Gain-of-Function ModelEvolutionary Dynamics of Tumor Initiation Through Tumor-Suppressor Genes: The Loss-of-Function Model and Stochastic TunnelingMicrosatellite and Chromosomal Instability in Sporadic and Familial Colorectal CancersEvolutionary Dynamics in Hierarchical PopulationsSpatial Evolutionary Dynamics of Tumor InitiationComplex Tumor Dynamics in SpaceStochastic Modeling of Cellular Growth, Treatment, and Resistance GenerationEvolutionary Dynamics of Drug Resistance in Chronic Myeloid LeukemiaAdvanced Topics:Evolutionary Dynamics of Stem-Cell Driven Tumor GrowthTumor Growth Kinetics and Disease ProgressionEpigenetic Changes and the Rate of DNA MethylationTelomeres and Cancer ProtectionGene Therapy and Oncolytic Virus TherapyImmune Responses, Tumor Growth, and TherapiesTowards Higher Complexities: Social Interactions Readership: Researchers in mathematical biology, mathematical modeling, biology, mathematical oncology. Keywords:Mathematical Oncology;Dynamics;Evolution;Evolutionary Dynamics;Cancer;Mathematical Models;Somatic Evolution;TeachingKey Features:Both a reference book for the topic, and provides material for undergraduate and graduate coursesTries to bridge the divide between mathematicians and biologists, which is also reflected in the backgrounds of the two authorsShows how mathematical concepts can be translated into experimentally and clinically useful insightsRooted in evolutionary biology, the book handles this very complex phenomenon in an intuitive and mathematically elegant wayContains problems and research projects for each topic10 pages of figures in color

Parallel Processing and Applied Mathematics

12th International Conference, PPAM 2017, Lublin, Poland, September 10-13, 2017, Revised Selected Papers

Author: Roman Wyrzykowski,Jack Dongarra,Ewa Deelman,Konrad Karczewski

Publisher: Springer

ISBN: 3319780247

Category: Computers

Page: 660

View: 1028


The two-volume set LNCS 10777 and 10778 constitutes revised selected papers from the 12th International Conference on Parallel Processing and Applied Mathematics, PPAM 2017, held in Lublin, Poland, in September 2017. The 49 regular papers presented in this volume were selected from 98 submissions. For the workshops and special sessions, that were held as integral parts of the PPAM 2017 conference, a total of 51 papers was accepted from 75 submissions. The papers were organized in topical sections named as follows: Part I: numerical algorithms and parallel scientific computing; particle methods in simulations; task-based paradigm of parallel computing; GPU computing; parallel non-numerical algorithms; performance evaluation of parallel algorithms and applications; environments and frameworks for parallel/distributed/cloud computing; applications of parallel computing; soft computing with applications; and special session on parallel matrix factorizations. Part II: workshop on models, algorithms and methodologies for hybrid parallelism in new HPC systems; workshop power and energy aspects of computations (PEAC 2017); workshop on scheduling for parallel computing (SPC 2017); workshop on language-based parallel programming models (WLPP 2017); workshop on PGAS programming; minisymposium on HPC applications in physical sciences; minisymposium on high performance computing interval methods; workshop on complex collective systems.

A Guide to Outcome Modeling In Radiotherapy and Oncology

Listening to the Data

Author: Issam El Naqa

Publisher: CRC Press

ISBN: 0429840357

Category: Science

Page: 368

View: 9181


This book explores outcome modeling in cancer from a data-centric perspective to enable a better understanding of complex treatment response, to guide the design of advanced clinical trials, and to aid personalized patient care and improve their quality of life. It contains coverage of the relevant data sources available for model construction (panomics), ranging from clinical or preclinical resources to basic patient and treatment characteristics, medical imaging (radiomics), and molecular biological markers such as those involved in genomics, proteomics and metabolomics. It also includes discussions on the varying methodologies for predictive model building with analytical and data-driven approaches. This book is primarily intended to act as a tutorial for newcomers to the field of outcome modeling, as it includes in-depth how-to recipes on modeling artistry while providing sufficient instruction on how such models can approximate the physical and biological realities of clinical treatment. The book will also be of value to seasoned practitioners as a reference on the varying aspects of outcome modeling and their current applications.

Information Resources in Toxicology

Volume 1: Background, Resources, and Tools

Author: Steve Gilbert,Asish Mohapatra,Sol Bobst,Antoinette Hayes,Sara T. Humes

Publisher: Academic Press

ISBN: 0128137258

Category: Medical

Page: 1054

View: 3935


This new fifth edition of Information Resources in Toxicology offers a consolidated entry portal for the study, research, and practice of toxicology. This book represents a unique, wide-ranging, curated, international, annotated bibliography, and directory of major resources in toxicology and allied fields such as environmental and occupational health, chemical safety, and risk assessment. The editors and authors are among the leaders of the profession sharing their cumulative wisdom in toxicology’s subdisciplines. This edition keeps pace with the digital world in directing and linking readers to relevant websites and other online tools. Due to the increasing size of the hardcopy publication, the current edition has been divided into two volumes to make it easier to handle and consult. Volume I: Background, Resources, and Tools, arranged in 5 parts, begins with chapters on the science of toxicology, its history, and informatics framework in Part 1. Part 2 continues with chapters organized by more specific subject such as cancer, clinical toxicology, genetic toxicology, etc. The categorization of chapters by resource format, for example, journals and newsletters, technical reports, organizations constitutes Part 3. Part 4 further considers toxicology’s presence via the Internet, databases, and software tools. Among the miscellaneous topics in the concluding Part 5 are laws and regulations, professional education, grants and funding, and patents. Volume II: The Global Arena offers contributed chapters focusing on the toxicology contributions of over 40 countries, followed by a glossary of toxicological terms and an appendix of popular quotations related to the field. The book, offered in both print and electronic formats, is carefully structured, indexed, and cross-referenced to enable users to easily find answers to their questions or serendipitously locate useful knowledge they were not originally aware they needed. Among the many timely topics receiving increased emphasis are disaster preparedness, nanotechnology, -omics, risk assessment, societal implications such as ethics and the precautionary principle, climate change, and children’s environmental health. The most comprehensive compendium of print, digital, and organizational resources in the toxicological sciences. In 2 volumes, over 120 chapters contributed by experts and leaders in their respective sub-disciplines within toxicology Highlights resources both by topic and format Contains chapters representing more than 40 countries authored by renowned toxicologists of those countries Newly updated with all relevant key references and Web links Includes concise narratives about toxicologic sub-disciplines and valuable appendices such as the IUPAC Glossary of Terms in Toxicology

Introduction to Mathematical Oncology

Author: Yang Kuang,John D. Nagy,Steffen E. Eikenberry

Publisher: CRC Press

ISBN: 1498752977

Category: Mathematics

Page: 470

View: 3333


Introduction to Mathematical Oncology presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs. It covers the medical and biological background of the diseases, modeling issues, and existing methods and their limitations. The authors introduce mathematical and programming tools, along with analytical and numerical studies of the models. They also develop new mathematical tools and look to future improvements on dynamical models. After introducing the general theory of medicine and exploring how mathematics can be essential in its understanding, the text describes well-known, practical, and insightful mathematical models of avascular tumor growth and mathematically tractable treatment models based on ordinary differential equations. It continues the topic of avascular tumor growth in the context of partial differential equation models by incorporating the spatial structure and physiological structure, such as cell size. The book then focuses on the recent active multi-scale modeling efforts on prostate cancer growth and treatment dynamics. It also examines more mechanistically formulated models, including cell quota-based population growth models, with applications to real tumors and validation using clinical data. The remainder of the text presents abundant additional historical, biological, and medical background materials for advanced and specific treatment modeling efforts. Extensively classroom-tested in undergraduate and graduate courses, this self-contained book allows instructors to emphasize specific topics relevant to clinical cancer biology and treatment. It can be used in a variety of ways, including a single-semester undergraduate course, a more ambitious graduate course, or a full-year sequence on mathematical oncology.

A Survey of Models for Tumor-Immune System Dynamics

Author: John A. Adam,Nicola Bellomo

Publisher: Springer Science & Business Media

ISBN: 9780817639013

Category: Mathematics

Page: 344

View: 8968


Old Dominion University, Norfolk, VA.Research on mathematical modeling and immunology, specifically on modeling tumor dynamics and interactions between tumors and immune system, for biologists and mathematical biologists.

Head and Neck Management of the Cancer Patient

Author: Douglas E. Peterson,E. George Elias,Stephen T. Sonis

Publisher: Springer Science & Business Media

ISBN: 1461322898

Category: Medical

Page: 529

View: 2388


This book presents in a comprehensive way cur the clinical care of the patient with head and neck rent advances in the management of neoplasia cancer involvement and/or its complications. and associated complications of the head and Today's complex treatments in oncology re neck. A broad range of clinical considerations is quire a comprehensive approach to effect a posi discussed following overviews of relevant basic tive result for the cancer patient whose facial biologic issues and the roles of various disci appearance and function are compromised. We plines. Each chapter has been structured to trust that physicians, dentists, nurses, dental "stand by itself"; at the same time, obvious rela hygienists, and individuals in the supportive ser tionships with other chapters have been noted. vices involved in the management of the cancer We are pleased that this book represents, in our patient will find this book beneficial. opinion, a truly multidisciplinary approach to Xl I. INTRODUCTION 1. CANCER, ITS COMPLICATIONS, AND THE HEAD AND NECK Stephen T. Sanis Few diseases are as complex in their biology, tumors, such as colorectal cancers, seems physiology, pathology, or management as can equivocal [3]. cer [1, 2]. In addition, the disease concurrently has extensive psychological impact on patients.

Mathematical Modeling of the Immune System in Homeostasis, Infection and Disease

Author: Gennady Bocharov,Burkhard Ludewig,Andreas Meyerhans,Vitaly Volpert

Publisher: Frontiers Media SA

ISBN: 2889634612


Page: N.A

View: 3958


The immune system provides the host organism with defense mechanisms against invading pathogens and tumor development and it plays an active role in tissue and organ regeneration. Deviations from the normal physiological functioning of the immune system can lead to the development of diseases with various pathologies including autoimmune diseases and cancer. Modern research in immunology is characterized by an unprecedented level of detail that has progressed towards viewing the immune system as numerous components that function together as a whole network. Currently, we are facing significant difficulties in analyzing the data being generated from high-throughput technologies for understanding immune system dynamics and functions, a problem known as the ‘curse of dimensionality’. As the mainstream research in mathematical immunology is based on low-resolution models, a fundamental question is how complex the mathematical models should be? To respond to this challenging issue, we advocate a hypothesis-driven approach to formulate and apply available mathematical modelling technologies for understanding the complexity of the immune system. Moreover, pure empirical analyses of immune system behavior and the system’s response to external perturbations can only produce a static description of the individual components of the immune system and the interactions between them. Shifting our view of the immune system from a static schematic perception to a dynamic multi-level system is a daunting task. It requires the development of appropriate mathematical methodologies for the holistic and quantitative analysis of multi-level molecular and cellular networks. Their coordinated behavior is dynamically controlled via distributed feedback and feedforward mechanisms which altogether orchestrate immune system functions. The molecular regulatory loops inherent to the immune system that mediate cellular behaviors, e.g. exhaustion, suppression, activation and tuning, can be analyzed using mathematical categories such as multi-stability, switches, ultra-sensitivity, distributed system, graph dynamics, or hierarchical control. GB is supported by the Russian Science Foundation (grant 18-11-00171). AM is also supported by grants from the Spanish Ministry of Economy, Industry and Competitiveness and FEDER grant no. SAF2016-75505-R, the “María de Maeztu” Programme for Units of Excellence in R&D (MDM-2014-0370) and the Russian Science Foundation (grant 18-11-00171).

Advances in Mechanical Engineering

Author: Mark Zhou

Publisher: Trans Tech Publications Ltd

ISBN: 3038135291

Category: Technology & Engineering

Page: 2326

View: 8465


The objective of the ICME 2011 conference was to provide a forum where researchers, educators, engineers and government officials, involved in the general area of Mechanical Engineering, could disseminate their latest research results and exchange views on the future research directions of the field. Volume is indexed by Thomson Reuters CPCI-S (WoS). The three-volume set includes over 389 peer-reviewed papers, grouped under the chapter headings: Materials Engineering and Manufacturing Process, and Mechanical Engineering and Automotive Engineering. This timely volume will be a useful source of new ideas.