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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.