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Título : Continuum Mechanics : Advanced Topics and Research Trends Tipo de documento: documento electrónico Autores: Antonio Romano ; SpringerLink (Online service) ; Addolorata Marasco Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XII, 348 p. 39 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4870-1 Idioma : Inglés (eng) Palabras clave: Engineering Applied mathematics Mathematical models Physics Continuum physics Mechanics mechanics and of Materials Classical Theoretical, Computational Modeling Industrial Mathematics Applications Clasificación: 51 Matemáticas Resumen: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics Nota de contenido: Nonlinear Elasticity -- Micropolar Elasticity -- Continuous System with a Nonmaterial Interface -- Phase Equilibrium -- Stationary and Time-Dependent Phase Changes -- An Introduction to Mixture Theory -- Electromagnetism in Matter -- to Magnetofluid Dynamics -- Continua with an Interface and Micromagnetism -- Relativistic Continuous Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4870-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33544 Continuum Mechanics : Advanced Topics and Research Trends [documento electrónico] / Antonio Romano ; SpringerLink (Online service) ; Addolorata Marasco . - Boston : Birkhäuser Boston, 2010 . - XII, 348 p. 39 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4870-1
Idioma : Inglés (eng)
Palabras clave: Engineering Applied mathematics Mathematical models Physics Continuum physics Mechanics mechanics and of Materials Classical Theoretical, Computational Modeling Industrial Mathematics Applications Clasificación: 51 Matemáticas Resumen: This book offers a broad overview of the potential of continuum mechanics to describe a wide range of macroscopic phenomena in real-world problems. Building on the fundamentals presented in the authors’ previous book, Continuum Mechanics using Mathematica®, this new work explores interesting models of continuum mechanics, with an emphasis on exploring the flexibility of their applications in a wide variety of fields. Specific topics, which have been chosen to show the power of continuum mechanics to characterize the experimental behavior of real phenomena, include: * various aspects of nonlinear elasticity, including equilibrium equations and their variational formulation, nonlinear constitutive equations, existence and uniqueness theorems of Van Buren and Stoppelli, and Signorini's method with some extensions to live loads and acceleration waves * continua with directors * a model of a continuum with a nonmaterial moving interface * mixture theory: The Gibbs Rule in a binary mixture * interaction between electric or magnetic fields with matter * micromagnetism * continua in special relativity and relativistic interactions between matter and electromagnetic fields Appendices are included to provide background information on topics such as surface geometry, first-order PDEs, and weak solutions to models. Mathematica® notebooks also accompanying the text are available for download at http://www.birkhauser.com/978-0-8176-4869-5. Aimed at advanced graduate students, applied mathematicians, mathematical physicists, and engineers, the work will be an excellent self-study reference or supplementary textbook in graduate-level courses focusing on advanced topics and research trends in continuum mechanics Nota de contenido: Nonlinear Elasticity -- Micropolar Elasticity -- Continuous System with a Nonmaterial Interface -- Phase Equilibrium -- Stationary and Time-Dependent Phase Changes -- An Introduction to Mixture Theory -- Electromagnetism in Matter -- to Magnetofluid Dynamics -- Continua with an Interface and Micromagnetism -- Relativistic Continuous Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4870-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33544 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Data Modeling for Metrology and Testing in Measurement Science / SpringerLink (Online service) ; Franco Pavese ; Alistair B. Forbes (2009)
Título : Data Modeling for Metrology and Testing in Measurement Science Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Franco Pavese ; Alistair B. Forbes Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2009 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XVIII, 486 p. 111 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4804-6 Idioma : Inglés (eng) Palabras clave: Mathematics Computer mathematics Mathematical models Probabilities Statistics Industrial engineering Production Modeling and for Engineering, Physics, Science, Chemistry Earth Sciences Engineering Computational Numerical Analysis Computing/Statistics Programs Probability Theory Stochastic Processes Clasificación: 51 Matemáticas Resumen: This book and companion DVD provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods described in standard texts. The emphasis throughout is on techniques having a broad range of real-world applications in measurement science. Mainstream methods of data modeling and analysis typically rely on certain assumptions that do not hold for many practical applications. Developed in this work are methods and computational tools to address general models that arise in practice, allowing for a more valid treatment of calibration and test data and providing a deeper understanding of complex situations in measurement science. Additional features and topics of the book include: * Introduction to modeling principles in metrology and testing * Presentation of a basic probability framework in metrology and statistical approaches to uncertainty assessment * Discussion of the latest developments in data analysis using least squares, Fast Fourier Transform, wavelets, and fuzzy logic methods * Data fusion using neural networks, fuzzy methods, decision making, and risk analysis * A computer-assisted, rigorous approach to data evaluation and analysis of measurement software validity * Introduction to virtual instruments, and an overview of IT tools for measurement science Data Modeling for Metrology and Testing in Measurement Science may be used as a textbook in graduate courses on data modeling and computational methods, or as a training manual in the fields of calibration and testing. The book will also serve as an excellent reference for metrologists, mathematicians, statisticians, software engineers, chemists, and other practitioners with a general interest in measurement science Nota de contenido: An Introduction to Data Modeling Principles in Metrology and Testing -- Probability in Metrology -- Three Statistical Paradigms for the Assessment and Interpretation of Measurement Uncertainty -- Interval Computations and Interval-Related Statistical Techniques: Tools for Estimating Uncertainty of the Results of Data Processing and Indirect Measurements -- Parameter Estimation Based on Least Squares Methods -- Frequency and Time#x2014;Frequency Domain Analysis Tools in Measurement -- Data Fusion, Decision-Making, and Risk Analysis: Mathematical Tools and Techniques -- Comparing Results of Chemical Measurements: Some Basic Questions from Practice -- Modelling of Measurements, System Theory and Uncertainty Evaluation -- Approaches to Data Assessment and Uncertainty Estimation in Testing -- Monte Carlo Modeling of Randomness -- Software Validation and Preventive Software Quality Assurance for Metrology -- Virtual Istrumentation -- Internet-Enabled Metrology En línea: http://dx.doi.org/10.1007/978-0-8176-4804-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33946 Data Modeling for Metrology and Testing in Measurement Science [documento electrónico] / SpringerLink (Online service) ; Franco Pavese ; Alistair B. Forbes . - Boston : Birkhäuser Boston, 2009 . - XVIII, 486 p. 111 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4804-6
Idioma : Inglés (eng)
Palabras clave: Mathematics Computer mathematics Mathematical models Probabilities Statistics Industrial engineering Production Modeling and for Engineering, Physics, Science, Chemistry Earth Sciences Engineering Computational Numerical Analysis Computing/Statistics Programs Probability Theory Stochastic Processes Clasificación: 51 Matemáticas Resumen: This book and companion DVD provide a comprehensive set of modeling methods for data and uncertainty analysis, taking readers beyond mainstream methods described in standard texts. The emphasis throughout is on techniques having a broad range of real-world applications in measurement science. Mainstream methods of data modeling and analysis typically rely on certain assumptions that do not hold for many practical applications. Developed in this work are methods and computational tools to address general models that arise in practice, allowing for a more valid treatment of calibration and test data and providing a deeper understanding of complex situations in measurement science. Additional features and topics of the book include: * Introduction to modeling principles in metrology and testing * Presentation of a basic probability framework in metrology and statistical approaches to uncertainty assessment * Discussion of the latest developments in data analysis using least squares, Fast Fourier Transform, wavelets, and fuzzy logic methods * Data fusion using neural networks, fuzzy methods, decision making, and risk analysis * A computer-assisted, rigorous approach to data evaluation and analysis of measurement software validity * Introduction to virtual instruments, and an overview of IT tools for measurement science Data Modeling for Metrology and Testing in Measurement Science may be used as a textbook in graduate courses on data modeling and computational methods, or as a training manual in the fields of calibration and testing. The book will also serve as an excellent reference for metrologists, mathematicians, statisticians, software engineers, chemists, and other practitioners with a general interest in measurement science Nota de contenido: An Introduction to Data Modeling Principles in Metrology and Testing -- Probability in Metrology -- Three Statistical Paradigms for the Assessment and Interpretation of Measurement Uncertainty -- Interval Computations and Interval-Related Statistical Techniques: Tools for Estimating Uncertainty of the Results of Data Processing and Indirect Measurements -- Parameter Estimation Based on Least Squares Methods -- Frequency and Time#x2014;Frequency Domain Analysis Tools in Measurement -- Data Fusion, Decision-Making, and Risk Analysis: Mathematical Tools and Techniques -- Comparing Results of Chemical Measurements: Some Basic Questions from Practice -- Modelling of Measurements, System Theory and Uncertainty Evaluation -- Approaches to Data Assessment and Uncertainty Estimation in Testing -- Monte Carlo Modeling of Randomness -- Software Validation and Preventive Software Quality Assurance for Metrology -- Virtual Istrumentation -- Internet-Enabled Metrology En línea: http://dx.doi.org/10.1007/978-0-8176-4804-6 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33946 Ejemplares
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Título : Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® Tipo de documento: documento electrónico Autores: Antonio Romano ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XII, 224 p. 130 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4872-5 Idioma : Inglés (eng) Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® [documento electrónico] / Antonio Romano ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XII, 224 p. 130 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4872-5
Idioma : Inglés (eng)
Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Ejemplares
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Título : Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Giovanni Naldi ; Lorenzo Pareschi ; Giuseppe Toscani Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: X, 438 p. 98 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4946-3 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Applied mathematics Engineering Economics, Mathematical models Biomathematics Statistical physics Dynamical systems Applications of Modeling and Industrial Physics, Systems Complexity Differential Equations Computational Biology Quantitative Finance Clasificación: 51 Matemáticas Resumen: Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. Specific topics covered include: * analysis of wealth distributions * dynamics of price formation * spreading of opinions * models of social behavior * population dynamics * aggregation and swarming The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems Nota de contenido: Economic modelling and financial markets -- Agent-based models of economic interactions -- On kinetic asset exchange models and beyond: microeconomic formulation,trade network, and all that -- Microscopic and kinetic models in financial markets -- A mathematical theory for wealth distribution -- Tolstoy’s dream and the quest for statistical equilibrium in economics and the social sciences -- Social modelling and opinion formation -- New perspectives in the equilibrium statistical mechanics approach to social and economic sciences -- Kinetic modelling of complex socio-economic systems -- Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion -- Global dynamics in adaptive models of collective choice with social influence -- Modelling opinion formation by means of kinetic equations -- Human behavior and swarming -- On the modelling of vehicular traffic and crowds by kinetic theory of active particles -- Particle, kinetic, and hydrodynamic models of swarming -- Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints -- Statistical physics and modern human warfare -- Diffusive and nondiffusive population models En línea: http://dx.doi.org/10.1007/978-0-8176-4946-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33557 Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences [documento electrónico] / SpringerLink (Online service) ; Giovanni Naldi ; Lorenzo Pareschi ; Giuseppe Toscani . - Boston : Birkhäuser Boston, 2010 . - X, 438 p. 98 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4946-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Applied mathematics Engineering Economics, Mathematical models Biomathematics Statistical physics Dynamical systems Applications of Modeling and Industrial Physics, Systems Complexity Differential Equations Computational Biology Quantitative Finance Clasificación: 51 Matemáticas Resumen: Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. Specific topics covered include: * analysis of wealth distributions * dynamics of price formation * spreading of opinions * models of social behavior * population dynamics * aggregation and swarming The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems Nota de contenido: Economic modelling and financial markets -- Agent-based models of economic interactions -- On kinetic asset exchange models and beyond: microeconomic formulation,trade network, and all that -- Microscopic and kinetic models in financial markets -- A mathematical theory for wealth distribution -- Tolstoy’s dream and the quest for statistical equilibrium in economics and the social sciences -- Social modelling and opinion formation -- New perspectives in the equilibrium statistical mechanics approach to social and economic sciences -- Kinetic modelling of complex socio-economic systems -- Mathematics and physics applications in sociodynamics simulation: the case of opinion formation and diffusion -- Global dynamics in adaptive models of collective choice with social influence -- Modelling opinion formation by means of kinetic equations -- Human behavior and swarming -- On the modelling of vehicular traffic and crowds by kinetic theory of active particles -- Particle, kinetic, and hydrodynamic models of swarming -- Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints -- Statistical physics and modern human warfare -- Diffusive and nondiffusive population models En línea: http://dx.doi.org/10.1007/978-0-8176-4946-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33557 Ejemplares
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Título : Selected Topics in Cancer Modeling : Genesis, Evolution, Immune Competition, and Therapy Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Elena Angelis ; Mark A. J. Chaplain ; Nicola Bellomo Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2008 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XVI, 473 p. 140 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4713-1 Idioma : Inglés (eng) Palabras clave: Mathematics Health informatics Oncology Applied mathematics Engineering Mathematical models Biomathematics Modeling and Industrial Informatics Computational Biology Physiological, Cellular Medical Topics Applications of Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Genetic and Epigenetic Pathways to Colon Cancer Relating Experimental Evidence with Modeling -- From Kinetic Theory for Active Particles to Modelling Immune Competition -- Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue -- Nonlinear Renewal Equations -- A Game Theoretical Perspective on the Somatic Evolution of cancer -- Nonlinear Modeling and Simulation of Tumor Growth -- Tumour Cords and Their Response to Anticancer Agents -- Modeling Diffusely Invading Brain Tumors An Individualized Approach to Quantifying Glioma Evolution and Response to Therapy -- Multiphase Models of Tumour Growth -- The Lymphatic Vascular System in Lymphangiogenesis Invasion and Metastasis A Mathematical Approach -- M for Invasion Morphology Mutation and the Microenvironment -- Methods of Stochastic Geometry and Related Statistical Problems in the Analysis and Therapy of Tumour Growth and Tumour Driven Angiogenesis -- Mathematical Modelling of Breast Carcinogenesis, Treatment with Surgery and Radiotherapy and Local Recurrence -- Predictive Models in Tumor Immunology -- Dynamically Adaptive Tumour Induced Angiogenesis The Impact of Flow on the Developing Capillary Plexus -- Dynamic Irregular Patterns and Invasive Wavefronts The Control of Tumour Growth by Cytotoxic T Lymphocytes -- Multiscale Modelling of Solid Tumour Growth En línea: http://dx.doi.org/10.1007/978-0-8176-4713-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34280 Selected Topics in Cancer Modeling : Genesis, Evolution, Immune Competition, and Therapy [documento electrónico] / SpringerLink (Online service) ; Elena Angelis ; Mark A. J. Chaplain ; Nicola Bellomo . - Boston : Birkhäuser Boston, 2008 . - XVI, 473 p. 140 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4713-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Health informatics Oncology Applied mathematics Engineering Mathematical models Biomathematics Modeling and Industrial Informatics Computational Biology Physiological, Cellular Medical Topics Applications of Clasificación: 51 Matemáticas Resumen: 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 Nota de contenido: Genetic and Epigenetic Pathways to Colon Cancer Relating Experimental Evidence with Modeling -- From Kinetic Theory for Active Particles to Modelling Immune Competition -- Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue -- Nonlinear Renewal Equations -- A Game Theoretical Perspective on the Somatic Evolution of cancer -- Nonlinear Modeling and Simulation of Tumor Growth -- Tumour Cords and Their Response to Anticancer Agents -- Modeling Diffusely Invading Brain Tumors An Individualized Approach to Quantifying Glioma Evolution and Response to Therapy -- Multiphase Models of Tumour Growth -- The Lymphatic Vascular System in Lymphangiogenesis Invasion and Metastasis A Mathematical Approach -- M for Invasion Morphology Mutation and the Microenvironment -- Methods of Stochastic Geometry and Related Statistical Problems in the Analysis and Therapy of Tumour Growth and Tumour Driven Angiogenesis -- Mathematical Modelling of Breast Carcinogenesis, Treatment with Surgery and Radiotherapy and Local Recurrence -- Predictive Models in Tumor Immunology -- Dynamically Adaptive Tumour Induced Angiogenesis The Impact of Flow on the Developing Capillary Plexus -- Dynamic Irregular Patterns and Invasive Wavefronts The Control of Tumour Growth by Cytotoxic T Lymphocytes -- Multiscale Modelling of Solid Tumour Growth En línea: http://dx.doi.org/10.1007/978-0-8176-4713-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34280 Ejemplares
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