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Epidèmies --- COVID-19 --- Models matemàtics --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- COVID-19 (Malaltia) --- Coronavirus 2019 (Malaltia) --- Malaltia COVID-19 --- Malaltia infecciosa per SARS-CoV-2 --- Malaltia infecciosa per coronavirus --- Malaltia per coronavirus 2019 --- Malaltia respiratòria causada pel SARS-CoV-2 --- Pneumònia de Wuhan --- Infeccions per coronavirus --- Pandèmia de COVID-19, 2020 --- -SARS-CoV-2 --- Endèmias --- Malalties epidèmiques --- Pandèmies --- Pestes --- Epidemiologia --- Còlera --- Epidèmia de grip, 1918-1919 --- Febre groga --- -Pesta --- Pesta Negra --- Epidemiology --- Mathematical models.
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Biology --- Differential geometry. Global analysis --- Growth. --- Pattern formation (Biology) --- Pattern formation (Biology).
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A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge is creating multiscale models that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined in this work. Written by first-rate researchers in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include: * Genetic and epigenetic pathways to colon cancer * A game theoretical perspective on the somatic evolution of cancer * Nonlinear modeling and simulation of tumor growth * Tumor cords and their response to anticancer agents * Modeling diffusely invading brain tumors * Multiphase models of tumor growth * Mathematical modeling of breast carcinogenesis * Predictive models in tumor immunology * Multiscale modeling of solid tumor growth Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and graduate students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative, predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for patients.
Mathematics. --- Oncology. --- Applications of Mathematics. --- Physiological, Cellular and Medical Topics. --- Mathematical Biology in General. --- Mathematical Modeling and Industrial Mathematics. --- Biology --- Physiology --- Mathématiques --- Cancérologie --- Tumors --Growth --Computer simulation. --- Tumors --Growth --Mathematical models. --- Tumors --- Diseases --- Computing Methodologies --- Investigative Techniques --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Information Science --- Models, Theoretical --- Computer Simulation --- Neoplasms --- Medicine --- Health & Biological Sciences --- Oncology --- Growth --- Mathematical models --- Computer simulation --- Computer simulation. --- Mathematical models. --- Tumours --- Health informatics. --- Applied mathematics. --- Engineering mathematics. --- Biomathematics. --- Health Informatics. --- Mathematical and Computational Biology. --- Pathology --- Cysts (Pathology) --- Oncology . --- Medical records --- Data processing. --- Math --- Science --- Animal physiology --- Animals --- Anatomy --- EHR systems --- EHR technology --- EHRs (Electronic health records) --- Electronic health records --- Electronic medical records --- EMR systems --- EMRs (Electronic medical records) --- Information storage and retrieval systems --- Medical care --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Clinical informatics --- Health informatics --- Medical information science --- Information science --- Models, Mathematical --- Simulation methods --- Data processing
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To adequately describe complex spatio-temporal processes that occur in multi-cellular organisms, a class of models is required that simultaneously takes into account differences between individual cells as well as their ability to communicate and interact with one another and their environment. Single-cell-based models form a framework that allows for the explicit incorporation of different properties of individual cells, but at the same time enables all cells to act together as one collective body. This leads ultimately to more biologically realistic models of heterogeneous tissues and multi-cellular organisms and allows for a better understanding of the principles underlying the complex biological processes occurring during the formation, growth and maintenance of multi-cellular bodies. The aim of this book is to assemble a collection of different mathematical and computational models and techniques that focus on individual cells, cell processes and cell behaviour, that are also suitable to address problems on the multi-cellular or tissue scale. We would like to focus the level of the book equally to students starting their research in the field of mathematical biology and to scientists already modelling multi-cellular processes. Therefore, our intention is to include in this book a detailed description of each model and an extensive review of suitable biological and medical applications.
Biological models. --- Cell physiology. --- Cell function --- Cytology --- Physiology --- Models, Biological --- Computer simulation. --- Mathematical and Computational Biology. --- Physiological, Cellular and Medical Topics. --- Simulation and Modeling. --- Mathematics. --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Animal physiology --- Animals --- Biology --- Anatomy --- Biomathematics. --- Mathematics
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