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This book is a collection of works that represent the recent advancements in computational and mathematical methods applied to population dynamics. It concentrates on both development of new tools as well as on innovative use of existing tools to obtain new understanding of biological systems. The volume introduces new state-of-the-art techniques for defining and solving numerically control problems in mathematical biology in which the control appears linearly. Such problems produce simpler optimal controls that can be implemented in practice. The book further develops tools for fitting multi-scale models to multi-scale data and studying the practical identifiability of the parameters from m...
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of infectious diseases. It includes model building, fitting to data, local and global analysis techniques. Various types of deterministic dynamical models are considered: ordinary differential equation models, delay-differential equation models, difference equation models, age-structured PDE models and diffusion models. It includes various techniques for the computation of the basic reproduction number as well as approaches to the epidemiological interpretation of the reproduction number. MATLAB code is included to facilitate the data fitting and the simulation with age-structured models.
This book introduces advanced mathematical methods and techniques for analysis and simulation of models in mathematical epidemiology. Chronological age and class-age play an important role in the description of infectious diseases and this text provides the tools for the analysis of this type of partial differential equation models. This book presents general theoretical tools as well as large number of specific examples to guide the reader to develop their own tools that they may then apply to study structured models in mathematical epidemiology. The book will be a valuable addition to the arsenal of all researchers interested in developing theory or studying specific models with age structure.
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Yazar, hikayelerde elan yaşadığımız hayatın yansımasını veriyor. Çevremizde dolaşan yaşadıklarının farkında olmadığımız insanlar canlanıp karşımıza çıkıveriyor. kahramanların konuşmalarında olaylar; halk söyleşileri, kaybolduğunu zannettiğimiz güzel deyimler ve taşı gediğine koyan atasözlerimizle canlı bir şekilde akıp gidiyor. Ahlaklı, erdemli yaşayışa örnek hayatlara da işaret etme, dikkat çekme; imrenme var aynı zamanda. bu ideal hayatın her noktasına ulaşma isteği uyandırması güzel... teşekkürler Tuncer'e. Filiz Çırpıcı Şair-Edebiyat Öğretmeni
This edited volume discusses the complexity of tumor microenvironments during cancer development, progression and treatment. Each chapter presents a different mathematical model designed to investigate the interactions between tumor cells and the surrounding stroma and stromal cells. The topics covered in this book include the quantitative image analysis of a tumor microenvironment, the microenvironmental barriers in oxygen and drug delivery to tumors, the development of tumor microenvironmental niches and sanctuaries, intravenous transport of the circulating tumor cells, the role of the tumor microenvironment in chemotherapeutic interventions, the interactions between tumor cells, the extra...
Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.