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Programming --- Computational Biology --- Bioinformatics --- Bio-informatique --- Bioinformatics. --- Computational Biology. --- Bioinformatica --- Bioinformatica. --- Bio-informatics --- Biological informatics --- Biology --- Information science --- Computational biology --- Systems biology --- Data processing --- Bioinformatique. --- Bioinformatique

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Computer science --- Bioinformatics --- Algorithms --- Bio-informatique --- Algorithmes --- Bioinformatics. --- Algorithms. --- 577.2 --- 681.3*J3 <043> --- Molecular bases of life. Molecular biology --- Life and medical sciences (Computer applications)--Dissertaties --- 681.3*J3 <043> Life and medical sciences (Computer applications)--Dissertaties --- 577.2 Molecular bases of life. Molecular biology --- Bio-informatics --- Biological informatics --- Biology --- Information science --- Computational biology --- Systems biology --- Algorism --- Algebra --- Arithmetic --- Data processing --- Foundations

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"This books provides an elementary-level introduction to R, targeting both non-statistician scientists in various fields and students of statistics."--Back cover.

Statistics --- R (Computer program language) --- Statistique --- R (Langage de programmation) --- Data processing --- Informatique --- R (Computer program language). --- Data processing. --- Programming --- Mathematical statistics --- #SBIB:303H4 --- 681.3*G3 --- 519.2 --- -R (Computer program language) --- -519.5 --- GNU-S (Computer program language) --- Domain-specific programming languages --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo)random number generation statistical computing statistical software (Mathematics of computing) --- Probability and statistics: probabilistic algorithms (including Monte Carlo)random number generation statistical computing statistical software (Mathematics of computing) --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Informatica in de sociale wetenschappen --- EPUB-LIV-FT SPRINGER-B --- Mathematics. --- Bioinformatics. --- Computational biology. --- Probabilities. --- Statistics. --- Probability Theory and Stochastic Processes. --- Statistics and Computing/Statistics Programs. --- Computer Appl. in Life Sciences. --- 519.5 --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Distribution (Probability theory. --- Mathematical statistics. --- Biology --- Statistics . --- Bioinformatics . --- Computational biology . --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Statistics - Data processing --- Estadística $xInformática --- R (Lenguaje de programación) --- Estadística matemática

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This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.

51-7 --- 51:37 --- 51:37 Mathematics-:-Opvoeding en onderwijs --(algemeen) --- Mathematics-:-Opvoeding en onderwijs --(algemeen) --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Neurosciences informatiques --- Differential Equations. --- Mathematical Biology in General. --- Ordinary Differential Equations. --- Computational Mathematics and Numerical Analysis. --- Computer Appl. in Life Sciences. --- Models, Neurological --- Nerve Net --- Mathematical Modeling and Industrial Mathematics. --- Muscle Contraction --- Musculoskeletal Physiological Processes --- Musculoskeletal Physiological Phenomena --- Experimental Model --- Experimental Models --- Mathematical Model --- Model, Experimental --- Models (Theoretical) --- Models, Experimental --- Models, Theoretic --- Theoretical Study --- Mathematical Models --- Model (Theoretical) --- Model, Mathematical --- Model, Theoretical --- Studies, Theoretical --- Study, Theoretical --- Theoretical Model --- Theoretical Models --- Theoretical Studies --- Nervous Systems --- System, Nervous --- Systems, Nervous --- Computer mathematics --- Metabolic Phenomenon --- Metabolic Process --- Metabolism Concepts --- Metabolism Phenomena --- Process, Metabolic --- Processes, Metabolic --- Anabolism --- Catabolism --- Metabolic Concepts --- Metabolic Processes --- Concept, Metabolic --- Concept, Metabolism --- Concepts, Metabolic --- Concepts, Metabolism --- Metabolic Concept --- Metabolism Concept --- Phenomena, Metabolic --- Phenomena, Metabolism --- Phenomenon, Metabolic --- Musculoskeletal Physiologic Process --- Musculoskeletal Physiological Concepts --- Musculoskeletal Physiological Phenomenon --- Physiology, Musculoskeletal --- Musculoskeletal Physiologic Processes --- Musculoskeletal Physiological Process --- Musculoskeletal Physiology --- Concept, Musculoskeletal Physiological --- Concepts, Musculoskeletal Physiological --- Musculoskeletal Physiological Concept --- Phenomena, Musculoskeletal Physiological --- Phenomenon, Musculoskeletal Physiological --- Physiologic Process, Musculoskeletal --- Physiologic Processes, Musculoskeletal --- Process, Musculoskeletal Physiologic --- Process, Musculoskeletal Physiological --- Processes, Musculoskeletal Physiologic --- Processes, Musculoskeletal Physiological --- Active Ion Transport --- Facilitated Ion Transport --- Passive Ion Transport --- Antiport --- Ion Cotransport --- Ion Exchange, Intracellular --- Symport --- Uniport --- Cotransport, Ion --- Exchange, Intracellular Ion --- Intracellular Ion Exchange --- Ion Transport, Active --- Ion Transport, Facilitated --- Ion Transport, Passive --- Transport, Active Ion --- Transport, Ion --- Second Messengers --- Intracellular Second Messengers --- Intracellular Second Messenger --- Messenger, Second --- Messengers, Intracellular Second --- Messengers, Second --- Second Messenger --- Second Messenger System --- Second Messenger, Intracellular --- Second Messengers, Intracellular --- System, Second Messenger --- Systems, Second Messenger --- Calcium Puffs --- Calcium Sparks --- Calcium Spikes --- Calcium Oscillations --- Calcium Waves --- Calcium Oscillation --- Calcium Puff --- Calcium Signalings --- Calcium Spark --- Calcium Spike --- Calcium Wave --- Oscillation, Calcium --- Oscillations, Calcium --- Puff, Calcium --- Puffs, Calcium --- Signaling, Calcium --- Signalings, Calcium --- Spark, Calcium --- Sparks, Calcium --- Spike, Calcium --- Spikes, Calcium --- Wave, Calcium --- Waves, Calcium --- Muscular Contraction --- Inotropism --- Contraction, Muscle --- Contraction, Muscular --- Contractions, Muscle --- Contractions, Muscular --- Inotropisms --- Muscle Contractions --- Muscular Contractions --- Calculus of Variations and Optimal Control; Optimization. --- Physiological, Cellular and Medical Topics. --- Cell Cycle --- Processes, Cell Growth --- Cell Division Cycle --- Cell Cycles --- Cell Division Cycles --- Cycle, Cell --- Cycle, Cell Division --- Cycles, Cell --- Cycles, Cell Division --- Division Cycle, Cell --- Division Cycles, Cell --- Cell Multiplication --- Cell Number Growth --- Cell Growth in Number --- Cellular Proliferation --- Growth, Cell Number --- Multiplication, Cell --- Number Growth, Cell --- Proliferation, Cell --- Proliferation, Cellular --- Mathematics. --- Cell biology. --- Mathematical models. --- Biomathematics. --- Mathematical and Computational Biology. --- Cell Biology. --- Differential equations. --- Partial differential equations. --- Calculus of variations. --- Partial Differential Equations. --- Bioinformatics. --- Computational biology. --- Neurobiology. --- Computer mathematics. --- Ecology --- Evolution (Biology) --- Phylogeny --- Population genetics --- Animal phylogeny --- Animals --- Phylogenetics --- Phylogeny (Zoology) --- Biology --- Mathematical models --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc --- Math --- Science --- Mathematics --- Models, Mathematical --- Simulation methods --- Cell biology --- Cellular biology --- Cells --- Cytologists --- Neurosciences --- Discrete mathematics --- Electronic data processing --- Partial differential equations --- 517.91 Differential equations --- Differential equations --- Bioinformatics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Data processing --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Cellular signal transduction. --- Calcium --- Physiological effect. --- Computational neuroscience. --- Differential equations, partial. --- Mathematical optimization. --- Physiology --- Computer science --- Data processing. --- Cytology. --- Animal physiology --- Anatomy --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- System analysis --- Cell proliferation. --- Cell cycle. --- Cancer cells. --- Pathology, Cellular --- Mitotic cycle --- Nuclear cycle (Cytology) --- Biological rhythms --- Cell renewal --- Cellular proliferation --- Cell cycle --- Cell division --- Cell populations --- Growth --- Neural circuitry --- Auditory pathways. --- Cellular signal transduction --- Physiological transport --- Physiological effect --- Metabolism --- Bioinformatics . --- Computational biology . --- Calcium - Physiological effect.

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The subject of this book is numerical methods that preserve geometric properties of the flow of a differential equation: symplectic integrators for Hamiltonian systems, symmetric integrators for reversible systems, methods preserving first integrals and numerical methods on manifolds, including Lie group methods and integrators for constrained mechanical systems, and methods for problems with highly oscillatory solutions. A complete theory of symplectic and symmetric Runge-Kutta, composition, splitting, multistep and various specially designed integrators is presented, and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory and related perturbation theories. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

519.62 --- 681.3*G17 --- Numerical methods for solution of ordinary differential equations --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Differential equations --- Hamiltonian systems. --- Numerical integration. --- Numerical solutions. --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.62 Numerical methods for solution of ordinary differential equations --- Hamiltonian systems --- Numerical integration --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Numerical analysis --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Differentiable dynamical systems --- 517.91 Differential equations --- Numerical solutions --- 517.91 --- Dynamique différentiable. --- Systèmes hamiltoniens. --- Differentiable dynamical systems. --- Numerical analysis. --- Mathematical analysis. --- Analysis (Mathematics). --- Mathematical physics. --- Physics. --- Biomathematics. --- Numerical Analysis. --- Analysis. --- Theoretical, Mathematical and Computational Physics. --- Mathematical Methods in Physics. --- Numerical and Computational Physics, Simulation. --- Mathematical and Computational Biology. --- Biology --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Physical mathematics --- Physics --- 517.1 Mathematical analysis --- Mathematical analysis --- Numerical solutions&delete& --- Systèmes hamiltoniens --- Integration numerique --- Analyse numerique --- Equations differentielles