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Autor Nicola Bellomo |
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Título : Complex Systems and Society : Modeling and Simulation Tipo de documento: documento electrónico Autores: Nicola Bellomo ; SpringerLink (Online service) ; Giulia Ajmone Marsan ; Andrea Tosin Editorial: New York, NY : Springer New York Fecha de publicación: 2013 Otro editor: Imprint: Springer Colección: SpringerBriefs in Mathematics, ISSN 2191-8198 Número de páginas: XII, 90 p. 12 illus. in color Il.: online resource ISBN/ISSN/DL: 978-1-4614-7242-1 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Game theory System Mathematical models Economic Social sciences Modeling and Industrial Theory/Quantitative Economics/Mathematical Methods Complex Systems Sciences, general Theory, Economics, Behav. Sciences Applications of Clasificación: 51 Matemáticas Resumen: This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today. On the one hand, mathematicians need economists and social scientists to better address the methodologies they design in a more realistic way; on the other hand, economists and social scientists need to be aware of sound mathematical modelling tools in order to understand and, ultimately, solve the complex problems they encounter in their research. With this goal in mind, this work is designed to take into account a multidisciplinary approach that will encourage the transfer of knowledge, ideas, and methodology from one discipline to the other. In particular, the work has three main themes: Demystifying and unravelling complex systems; Introducing models of individual behaviours in the social and economic sciences; Modelling socio-economic sciences as complex living systems. Specific tools examined in the work include a recently developed modelling approach using stochastic game theory within the framework of statistical mechanics and progressing up to modeling Darwinian evolution. Special attention is also devoted to social network theory as a fundamental instrument for the understanding of socio-economic systems Nota de contenido: 1. The Role of Individual Behaviors in Socio-Economic Sciences -- 2. Mathematical Tools for Modeling Social Complex Systems -- 3. Modeling Cooperation and Competition in Socio-Economic Systems -- 4. Welfare Policy: Applications and Simulations -- 5. Forward Look at Research Perspectives -- References En línea: http://dx.doi.org/10.1007/978-1-4614-7242-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32342 Complex Systems and Society : Modeling and Simulation [documento electrónico] / Nicola Bellomo ; SpringerLink (Online service) ; Giulia Ajmone Marsan ; Andrea Tosin . - New York, NY : Springer New York : Imprint: Springer, 2013 . - XII, 90 p. 12 illus. in color : online resource. - (SpringerBriefs in Mathematics, ISSN 2191-8198) .
ISBN : 978-1-4614-7242-1
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Game theory System Mathematical models Economic Social sciences Modeling and Industrial Theory/Quantitative Economics/Mathematical Methods Complex Systems Sciences, general Theory, Economics, Behav. Sciences Applications of Clasificación: 51 Matemáticas Resumen: This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today. On the one hand, mathematicians need economists and social scientists to better address the methodologies they design in a more realistic way; on the other hand, economists and social scientists need to be aware of sound mathematical modelling tools in order to understand and, ultimately, solve the complex problems they encounter in their research. With this goal in mind, this work is designed to take into account a multidisciplinary approach that will encourage the transfer of knowledge, ideas, and methodology from one discipline to the other. In particular, the work has three main themes: Demystifying and unravelling complex systems; Introducing models of individual behaviours in the social and economic sciences; Modelling socio-economic sciences as complex living systems. Specific tools examined in the work include a recently developed modelling approach using stochastic game theory within the framework of statistical mechanics and progressing up to modeling Darwinian evolution. Special attention is also devoted to social network theory as a fundamental instrument for the understanding of socio-economic systems Nota de contenido: 1. The Role of Individual Behaviors in Socio-Economic Sciences -- 2. Mathematical Tools for Modeling Social Complex Systems -- 3. Modeling Cooperation and Competition in Socio-Economic Systems -- 4. Welfare Policy: Applications and Simulations -- 5. Forward Look at Research Perspectives -- References En línea: http://dx.doi.org/10.1007/978-1-4614-7242-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32342 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Generalized Collocation Methods / SpringerLink (Online service) ; Nicola Bellomo ; Bertrand Lods ; Roberto Revelli ; Luca Ridolfi (2008)
Título : Generalized Collocation Methods : Solutions to Nonlinear Problems Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Nicola Bellomo ; Bertrand Lods ; Roberto Revelli ; Luca Ridolfi Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XII, 196 p. 62 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4610-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Computer models Appl.Mathematics/Computational Methods of Applications Modeling and Industrial Computational Science Ordinary Equations Clasificación: 51 Matemáticas Resumen: This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution. Based on a unified approach combining modeling, mathematical methods, and scientific computation, each chapter begins with several examples and problems solved by computational methods; full details of the solution techniques used are given. The last section of each chapter provides problems and exercises giving readers the opportunity to practice using the mathematical tools already presented. Rounding out the work is an appendix consisting of scientific programs in which readers may find practical guidelines for the efficient application of the collocation methods used in the book. Although the authors make use of Mathematica®, readers may use other packages such as MATLAB® or MapleTM depending on their specific needs and software preferences. Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems Nota de contenido: Mathematical Models and Problems in Applied Sciences -- Lagrange and Sinc Collocation Interpolation Methods -- Nonlinear Initial Value Problems in Unbounded Domains -- Nonlinear Initial-Boundary Value Problems in One Space Dimension -- Initial-Boundary Value Problems in Two Space Dimensions -- Additional Mathematical Tools for Nonlinear Problems En línea: http://dx.doi.org/10.1007/978-0-8176-4610-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34265 Generalized Collocation Methods : Solutions to Nonlinear Problems [documento electrónico] / SpringerLink (Online service) ; Nicola Bellomo ; Bertrand Lods ; Roberto Revelli ; Luca Ridolfi . - Boston, MA : Birkhäuser Boston, 2008 . - XII, 196 p. 62 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4610-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Differential equations Applied mathematics Engineering Computer models Appl.Mathematics/Computational Methods of Applications Modeling and Industrial Computational Science Ordinary Equations Clasificación: 51 Matemáticas Resumen: This book examines various mathematical tools—based on generalized collocation methods—to solve nonlinear problems related to partial differential and integro-differential equations. Covered are specific problems and models related to vehicular traffic flow, population dynamics, wave phenomena, heat convection and diffusion, transport phenomena, and pollution. Based on a unified approach combining modeling, mathematical methods, and scientific computation, each chapter begins with several examples and problems solved by computational methods; full details of the solution techniques used are given. The last section of each chapter provides problems and exercises giving readers the opportunity to practice using the mathematical tools already presented. Rounding out the work is an appendix consisting of scientific programs in which readers may find practical guidelines for the efficient application of the collocation methods used in the book. Although the authors make use of Mathematica®, readers may use other packages such as MATLAB® or MapleTM depending on their specific needs and software preferences. Generalized Collocation Methods is written for an interdisciplinary audience of graduate students, engineers, scientists, and applied mathematicians with an interest in modeling real-world systems by differential or operator equations. The work may be used as a supplementary textbook in graduate courses on modeling and nonlinear differential equations, or as a self-study handbook for researchers and practitioners wishing to expand their knowledge of practical solution techniques for nonlinear problems Nota de contenido: Mathematical Models and Problems in Applied Sciences -- Lagrange and Sinc Collocation Interpolation Methods -- Nonlinear Initial Value Problems in Unbounded Domains -- Nonlinear Initial-Boundary Value Problems in One Space Dimension -- Initial-Boundary Value Problems in Two Space Dimensions -- Additional Mathematical Tools for Nonlinear Problems En línea: http://dx.doi.org/10.1007/978-0-8176-4610-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34265 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
Título : Modeling Complex Living Systems Tipo de documento: documento electrónico Autores: Nicola Bellomo ; SpringerLink (Online service) Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XII, 220 p. 37 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4600-4 Idioma : Inglés (eng) Palabras clave: Mathematics Applied mathematics Engineering Game theory Mathematical models Biomathematics Physics Modeling and Industrial Applications of Computational Biology Theory, Economics, Social Behav. Sciences Methods in Appl.Mathematics/Computational Clasificación: 51 Matemáticas Resumen: Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems. The author develops new mathematical methods and tools—hopefully a "new" mathematics—toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in the context of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Modeling of the competition between cells of an aggressive invasive agent and cells of the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general Nota de contenido: From Scaling and Determinism to Kinetic Theory Representation -- Mathematical Structures of the Kinetic Theory for Active Particles -- Additional Mathematical Structures for Modeling Complex Systems -- Mathematical Frameworks -- Modeling of Social Dynamics and Economic Systems -- Mathematical Modeling -- Complex Biological Systems: -- Modeling Crowds and Swarms:Congested and Panic Flows -- Additional Concepts on the Modeling of Living Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4600-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34262 Modeling Complex Living Systems [documento electrónico] / Nicola Bellomo ; SpringerLink (Online service) . - Boston, MA : Birkhäuser Boston, 2008 . - XII, 220 p. 37 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4600-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Applied mathematics Engineering Game theory Mathematical models Biomathematics Physics Modeling and Industrial Applications of Computational Biology Theory, Economics, Social Behav. Sciences Methods in Appl.Mathematics/Computational Clasificación: 51 Matemáticas Resumen: Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems. The author develops new mathematical methods and tools—hopefully a "new" mathematics—toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in the context of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Modeling of the competition between cells of an aggressive invasive agent and cells of the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general Nota de contenido: From Scaling and Determinism to Kinetic Theory Representation -- Mathematical Structures of the Kinetic Theory for Active Particles -- Additional Mathematical Structures for Modeling Complex Systems -- Mathematical Frameworks -- Modeling of Social Dynamics and Economic Systems -- Mathematical Modeling -- Complex Biological Systems: -- Modeling Crowds and Swarms:Congested and Panic Flows -- Additional Concepts on the Modeling of Living Systems En línea: http://dx.doi.org/10.1007/978-0-8176-4600-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34262 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
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
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar
