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Autor Deutsch, Andreas |
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Título : Cellular Automaton Modeling of Biological Pattern Formation : Characterization, Applications, and Analysis Tipo de documento: documento electrónico Autores: Deutsch, Andreas ; SpringerLink (Online service) ; Dormann, Sabine Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2005 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XXIII, 331 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4415-4 Idioma : Inglés (eng) Palabras clave: Life sciences Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Sciences Sciences, general and Computational Biology Modeling Industrial Mathematics Physiological, Cellular Medical Topics Applications of Simulation Clasificación: 51 Matemáticas Resumen: This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology. Key topics and features: * Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis) * Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques * A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at www.biomodeling.info * Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required * Careful balance of theory, models, and applications useful to both experimentalists and theoreticians * Includes suggestions for further research topics The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing Nota de contenido: General Principles, Theories, and Models of Pattern Formation -- and Outline -- On the Origin of Patterns -- Mathematical Modeling of Biological Pattern Formation -- Cellular Automaton Modeling -- Cellular Automata -- Applications -- Random Movement -- Growth Processes -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Pigment Cell Pattern Formation -- Tissue and Tumor Development -- Turing Patterns and Excitable Media -- Discussion and Outlook En línea: http://dx.doi.org/10.1007/b138451 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35173 Cellular Automaton Modeling of Biological Pattern Formation : Characterization, Applications, and Analysis [documento electrónico] / Deutsch, Andreas ; SpringerLink (Online service) ; Dormann, Sabine . - Boston, MA : Birkhäuser Boston, 2005 . - XXIII, 331 p : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4415-4
Idioma : Inglés (eng)
Palabras clave: Life sciences Computer simulation Applied mathematics Engineering Mathematical models Biomathematics Sciences Sciences, general and Computational Biology Modeling Industrial Mathematics Physiological, Cellular Medical Topics Applications of Simulation Clasificación: 51 Matemáticas Resumen: This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is divided into three parts: Part I deals with general principles, theories, and models of pattern formation; Part II examines cellular automaton modeling; and Part III explains various applications. The models and analytic techniques described may be extended to other exciting applications in biology, medicine, and immunology. Key topics and features: * Provides an introduction and historical account of the principles of biological pattern formation (morphogenesis) * Gives an overview of mathematical modeling approaches to morphogenesis, and an introduction to cellular automata and analytic techniques * A supplementary web-based Java applet---Cellular Automaton Simulator---enables interactive simulation of various cellular automaton applications described in the book; available on the internet at www.biomodeling.info * Self-contained presentation is accessible to a broad audience; only basic calculus and linear algebra are required * Careful balance of theory, models, and applications useful to both experimentalists and theoreticians * Includes suggestions for further research topics The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling. The book's accessible presentation and interdisciplinary approach make it suitable for graduate and advanced undergraduate courses and seminars in mathematical biology, biomodeling, and biocomputing Nota de contenido: General Principles, Theories, and Models of Pattern Formation -- and Outline -- On the Origin of Patterns -- Mathematical Modeling of Biological Pattern Formation -- Cellular Automaton Modeling -- Cellular Automata -- Applications -- Random Movement -- Growth Processes -- Adhesive Cell Interaction -- Alignment and Cellular Swarming -- Pigment Cell Pattern Formation -- Tissue and Tumor Development -- Turing Patterns and Excitable Media -- Discussion and Outlook En línea: http://dx.doi.org/10.1007/b138451 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35173 Ejemplares
Signatura Medio Ubicación Sub-localización Sección Estado ningún ejemplar Mathematical Modeling of Biological Systems, Volume I / SpringerLink (Online service) ; Deutsch, Andreas ; Brusch, Lutz ; Byrne, Helen ; Vries, Gerda de ; Herzel, Hanspeter (2007)
Título : Mathematical Modeling of Biological Systems, Volume I : Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Deutsch, Andreas ; Brusch, Lutz ; Byrne, Helen ; Vries, Gerda de ; Herzel, Hanspeter Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2007 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XVIII, 382 p. 120 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4558-8 Idioma : Inglés (eng) Palabras clave: Mathematics Cell biology Mathematical models Biomathematics Biophysics Biological physics Statistics Modeling and Industrial Computational Biology Physics Biomedicine general for Life Sciences, Medicine, Health Sciences Clasificación: 51 Matemáticas Resumen: This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics Nota de contenido: Cellular Biophysics -- Multiparticle Direct Simulation of Photosynthetic Electron Transport Processes -- Selective Regulation of Protein Activity by Complex Ca2+ Oscillations: A Theoretical Study -- Phase Separation in Eukaryotic Directional Sensing -- Protein Domains of GTPases on Membranes: Do They Rely on Turing’s Mechanism? -- In Vitro Tubulogenesis of Endothelial Cells: Analysis of a Bifurcation Process Controlled by a Mechanical Switch -- Nonexponential Time Distributions in Biocatalytic Systems: Mass Service Replacing Mass Action -- Regulatory Networks -- A Stochastic Model of Gene Regulation Using the Chemical Master Equation -- Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli -- Predicting Gene Expression from Combined Expression and Promoter Profile Similarity with Application to Missing Value Imputation -- Chemical Organizations in the Central Sugar Metabolism of Escherichia coli -- Transition Networks: A Unifying Theme for Molecular Simulation and Computer Science -- Development -- Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwing -- Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry -- Bacterial Swarming Driven by Rod Shape -- Stability Properties of Some Tissue-Growth Models -- A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systems -- Biomedical Applications -- Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission -- Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy -- A Stochastic Model of Glioblastoma Invasion -- Morphology of Tumor Vasculature A Theoretical Model -- A Mathematical Model of the Cell Cycle and Its Circadian Control -- Bone Turnover Cycle Model with a Torus-Like Steady State -- Modelling the Early Stages of Atherosclerosis -- Magnetic Nanoparticles for In Vivo Applications: A Numerical Modeling Study -- Fluid Transport in Peritoneal Dialysis: A Mathematical Model and Numerical Solutions -- Relevance of Intracellular Replication to the Evolution of Chagas Disease -- A Finite Volume Spatial Discretisation for Taxis-Diffusion-Reaction Systems with Axi-Symmetry: Application to Fracture Healing -- Information Content Toward a Neonatal Disease Severity Score System -- Data Analysis and Model Validation -- Statistical Analysis and Physical Modelling of Oligonucleotide Microarrays -- Validation of Human Alternative Splice Forms Using the EASED Platform and Multiple Splice Site Discriminating Features -- Gaussian Mixture Decomposition of Time-Course DNA Microarray Data -- SVD Analysis of Gene Expression Data En línea: http://dx.doi.org/10.1007/978-0-8176-4558-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34552 Mathematical Modeling of Biological Systems, Volume I : Cellular Biophysics, Regulatory Networks, Development, Biomedicine, and Data Analysis [documento electrónico] / SpringerLink (Online service) ; Deutsch, Andreas ; Brusch, Lutz ; Byrne, Helen ; Vries, Gerda de ; Herzel, Hanspeter . - Boston, MA : Birkhäuser Boston, 2007 . - XVIII, 382 p. 120 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4558-8
Idioma : Inglés (eng)
Palabras clave: Mathematics Cell biology Mathematical models Biomathematics Biophysics Biological physics Statistics Modeling and Industrial Computational Biology Physics Biomedicine general for Life Sciences, Medicine, Health Sciences Clasificación: 51 Matemáticas Resumen: This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics Nota de contenido: Cellular Biophysics -- Multiparticle Direct Simulation of Photosynthetic Electron Transport Processes -- Selective Regulation of Protein Activity by Complex Ca2+ Oscillations: A Theoretical Study -- Phase Separation in Eukaryotic Directional Sensing -- Protein Domains of GTPases on Membranes: Do They Rely on Turing’s Mechanism? -- In Vitro Tubulogenesis of Endothelial Cells: Analysis of a Bifurcation Process Controlled by a Mechanical Switch -- Nonexponential Time Distributions in Biocatalytic Systems: Mass Service Replacing Mass Action -- Regulatory Networks -- A Stochastic Model of Gene Regulation Using the Chemical Master Equation -- Piecewise-Linear Models of Genetic Regulatory Networks: Analysis of the Carbon Starvation Response in Escherichia coli -- Predicting Gene Expression from Combined Expression and Promoter Profile Similarity with Application to Missing Value Imputation -- Chemical Organizations in the Central Sugar Metabolism of Escherichia coli -- Transition Networks: A Unifying Theme for Molecular Simulation and Computer Science -- Development -- Pigmentation Pattern Formation in Butterfly Wings: Global Patterns on Fore- and Hindwing -- Agent-Based Model for Developmental Pattern Formation with Multiscale Dynamics and Varying Cell Geometry -- Bacterial Swarming Driven by Rod Shape -- Stability Properties of Some Tissue-Growth Models -- A Modified Backward Euler Scheme for Advection-Reaction-Diffusion Systems -- Biomedical Applications -- Fractional Transport of Cancer Cells Due to Self-Entrapment by Fission -- Mathematical Modelling of Vascular Tumour Growth and Implications for Therapy -- A Stochastic Model of Glioblastoma Invasion -- Morphology of Tumor Vasculature A Theoretical Model -- A Mathematical Model of the Cell Cycle and Its Circadian Control -- Bone Turnover Cycle Model with a Torus-Like Steady State -- Modelling the Early Stages of Atherosclerosis -- Magnetic Nanoparticles for In Vivo Applications: A Numerical Modeling Study -- Fluid Transport in Peritoneal Dialysis: A Mathematical Model and Numerical Solutions -- Relevance of Intracellular Replication to the Evolution of Chagas Disease -- A Finite Volume Spatial Discretisation for Taxis-Diffusion-Reaction Systems with Axi-Symmetry: Application to Fracture Healing -- Information Content Toward a Neonatal Disease Severity Score System -- Data Analysis and Model Validation -- Statistical Analysis and Physical Modelling of Oligonucleotide Microarrays -- Validation of Human Alternative Splice Forms Using the EASED Platform and Multiple Splice Site Discriminating Features -- Gaussian Mixture Decomposition of Time-Course DNA Microarray Data -- SVD Analysis of Gene Expression Data En línea: http://dx.doi.org/10.1007/978-0-8176-4558-8 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34552 Ejemplares
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Título : Mathematical Modeling of Biological Systems, Volume II : Epidemiology, Evolution and Ecology,Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Deutsch, Andreas ; Parra, Rafael Bravo de la ; Boer, Rob J. de ; Diekmann, Odo ; Jagers, Peter ; Kisdi, Eva ; Kretzschmar, Mirjam ; Lansky, Petr ; Metz, Hans Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2008 Colección: Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679 Número de páginas: XVIII, 386 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4556-4 Idioma : Inglés (eng) Palabras clave: Mathematics Immunology Epidemiology Bioinformatics Applied mathematics Engineering Mathematical models Biomathematics and Computational Biology Modeling Industrial Biology/Bioinformatics Applications of Clasificación: 51 Matemáticas Resumen: This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics Nota de contenido: Epidemiology -- Could Low-Efficacy Malaria Vaccines Increase Secondary Infections in Endemic Areas? -- Modeling of the Invasion of a Fungal Disease over a Vineyard -- An Algorithm for Parameter Estimation in Nosocomial Infections -- Evolution and Ecology -- Evolutionarily Stable Investment in Anti-Predatory Defences and Aposematic Signalling -- The Tangled Nature Model of Evolutionary Ecology: An Overview -- Relative Advantage and Fundamental Theorems of Natural Selection -- Competitive Exclusion Between Year-Classes in a Semelparous Biennial Population -- On the Impact ofWinter Conditions on the Dynamics of an Isolated Population -- Planning for Biodiversity Conservation Using Stochastic Programming -- A Diffusion-Reaction Model of a Mixed-Culture Biofilm Arising in Food Safety Studies -- The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds -- Immunology -- An Automata-Based Microscopic Model Inspired by Clonal Expansion -- Th1–Th2 Regulation and Allergy: Bifurcation Analysis of the Non-Autonomous System -- Architecture of Randomly Evolving Idiotypic Networks -- Analysis of Infectious Mortality by Means of the Individualized Risk Model -- Neural Systems and the Brain -- Neuromorphological Phenotyping in Transgenic Mice: A Multiscale Fractal Analysis -- A Quantitative Model of ATP-Mediated Calcium Wave Propagation in Astrocyte Networks -- Dynamics of Neural Fields with Distributed Transmission Speeds -- Estimation of Differential Entropy for Positive Random Variables and Its Application in Computational Neuroscience -- Dynamics of Integrate-and-Fire Models -- A Monte Carlo Method Used for the Identification of the Muscle Spindle -- Mechanisms of Coincidence Detection in the Auditory Brainstem: Examples -- Multi-Scale Analysis of Brain Surface Data -- The Spike Generation Processes: A Case for Low Level Computation -- Innovative Mathematical Methods and Education -- Offdiagonal Complexity: A Computationally Quick Network Complexity Measure—Application to Protein Networks and Cell Division -- An Analytically Solvable Asymptotic Model of Atrial Excitability -- A Bayesian Approach to the Quantitative Polymerase Chain Reaction -- A Model of Poplar (Populus sp.) Physiology and Morphology Based on Relational Growth Grammars -- Asymptotic Behavior of a Two-Dimensional Keller–Segel Model with and without Density Control -- Saturation Effects in Population Dynamics: Use Branching Processes or Dynamical Systems? -- Modelling and Simulation by Stochastic Interacting Particle Systems -- Teaching Mathematical Biology in a Summer School for Undergraduates En línea: http://dx.doi.org/10.1007/978-0-8176-4556-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34260 Mathematical Modeling of Biological Systems, Volume II : Epidemiology, Evolution and Ecology,Immunology, Neural Systems and the Brain, and Innovative Mathematical Methods [documento electrónico] / SpringerLink (Online service) ; Deutsch, Andreas ; Parra, Rafael Bravo de la ; Boer, Rob J. de ; Diekmann, Odo ; Jagers, Peter ; Kisdi, Eva ; Kretzschmar, Mirjam ; Lansky, Petr ; Metz, Hans . - Boston, MA : Birkhäuser Boston, 2008 . - XVIII, 386 p : online resource. - (Modeling and Simulation in Science, Engineering and Technology, ISSN 2164-3679) .
ISBN : 978-0-8176-4556-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Immunology Epidemiology Bioinformatics Applied mathematics Engineering Mathematical models Biomathematics and Computational Biology Modeling Industrial Biology/Bioinformatics Applications of Clasificación: 51 Matemáticas Resumen: This two-volume, interdisciplinary work is a unified presentation of a broad range of state-of-the-art topics in the rapidly growing field of mathematical modeling in the biological sciences. Highlighted throughout both works are mathematical and computational approaches to examine central problems in the life sciences, ranging from the organizational principles of individual cells to the dynamics of large populations. Volume I covers a number of areas, including: * Cellular Biophysics * Regulatory Networks * Developmental Biology * Biomedical Applications * Data Analysis and Model Validation Volume II examines a diverse range of subjects, including: * Epidemiology * Evolution and Ecology * Immunology * Neural Systems and the Brain * Innovative Mathematical Methods and Education Both volumes will be excellent reference texts for a broad audience of researchers, practitioners, and advanced students in this rapidly growing field at the intersection of applied mathematics, experimental biology and medicine, computational biology, biochemistry, computer science, and physics Nota de contenido: Epidemiology -- Could Low-Efficacy Malaria Vaccines Increase Secondary Infections in Endemic Areas? -- Modeling of the Invasion of a Fungal Disease over a Vineyard -- An Algorithm for Parameter Estimation in Nosocomial Infections -- Evolution and Ecology -- Evolutionarily Stable Investment in Anti-Predatory Defences and Aposematic Signalling -- The Tangled Nature Model of Evolutionary Ecology: An Overview -- Relative Advantage and Fundamental Theorems of Natural Selection -- Competitive Exclusion Between Year-Classes in a Semelparous Biennial Population -- On the Impact ofWinter Conditions on the Dynamics of an Isolated Population -- Planning for Biodiversity Conservation Using Stochastic Programming -- A Diffusion-Reaction Model of a Mixed-Culture Biofilm Arising in Food Safety Studies -- The Periodical Population Dynamics of Lottery Models Including the Effect of Undeveloped Seeds -- Immunology -- An Automata-Based Microscopic Model Inspired by Clonal Expansion -- Th1–Th2 Regulation and Allergy: Bifurcation Analysis of the Non-Autonomous System -- Architecture of Randomly Evolving Idiotypic Networks -- Analysis of Infectious Mortality by Means of the Individualized Risk Model -- Neural Systems and the Brain -- Neuromorphological Phenotyping in Transgenic Mice: A Multiscale Fractal Analysis -- A Quantitative Model of ATP-Mediated Calcium Wave Propagation in Astrocyte Networks -- Dynamics of Neural Fields with Distributed Transmission Speeds -- Estimation of Differential Entropy for Positive Random Variables and Its Application in Computational Neuroscience -- Dynamics of Integrate-and-Fire Models -- A Monte Carlo Method Used for the Identification of the Muscle Spindle -- Mechanisms of Coincidence Detection in the Auditory Brainstem: Examples -- Multi-Scale Analysis of Brain Surface Data -- The Spike Generation Processes: A Case for Low Level Computation -- Innovative Mathematical Methods and Education -- Offdiagonal Complexity: A Computationally Quick Network Complexity Measure—Application to Protein Networks and Cell Division -- An Analytically Solvable Asymptotic Model of Atrial Excitability -- A Bayesian Approach to the Quantitative Polymerase Chain Reaction -- A Model of Poplar (Populus sp.) Physiology and Morphology Based on Relational Growth Grammars -- Asymptotic Behavior of a Two-Dimensional Keller–Segel Model with and without Density Control -- Saturation Effects in Population Dynamics: Use Branching Processes or Dynamical Systems? -- Modelling and Simulation by Stochastic Interacting Particle Systems -- Teaching Mathematical Biology in a Summer School for Undergraduates En línea: http://dx.doi.org/10.1007/978-0-8176-4556-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34260 Ejemplares
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