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The cell cycle is tightly regulated on many different levels to ensure properly controlled proliferation. Deregulation of cell cycle regulation is a hallmark of cancer. In this book, many aspects of cell cycle regulation are discussed, which include G1, S, M phase control, ubiquitin-mediated degradation, DNA damage response, mitotic spindle checkpoint, the centrosome cycle, Retinoblastoma protein family, the Myc oncogene, and mouse models for tumor suppressors, cyclin-dependent kinases, and meiosis. These chapters written by experts provide an updated view on how the cell cycle is regulated in vivo and about the involvement of cell cycle regulators in cancer.

Cell Cycle. --- Cell Cycle Proteins --- Cell Proliferation. --- Tumor Suppressor Proteins. --- Cellular control mechanisms. --- Cell cycle --- Régulation cellulaire --- Cycle cellulaire --- physiology. --- Regulation. --- Régulation --- Tumor Suppressor Proteins --- Cell Cycle --- Cell Proliferation --- Neoplasm Proteins --- Cell Physiological Processes --- Proteins --- Cell Growth Processes --- Amino Acids, Peptides, and Proteins --- Growth --- Cell Physiological Phenomena --- Growth and Development --- Chemicals and Drugs --- Phenomena and Processes --- Physiological Processes --- Physiological Phenomena --- Cytology --- Biology --- Health & Biological Sciences --- Development and Growth --- Cell Physiological Phenomenon --- Cell Physiological Process --- Physiology, Cell --- Cell Physiology --- Phenomena, Cell Physiological --- Phenomenon, Cell Physiological --- Physiological Process, Cell --- Physiological Processes, Cell --- Process, Cell Physiological --- Processes, Cell Physiological --- Cells --- Physiological Concepts --- Physiological Phenomenon --- Physiological Process --- Concept, Physiological --- Concepts, Physiological --- Phenomena, Physiological --- Phenomenas, Physiological --- Phenomenon, Physiological --- Physiological Concept --- Process, Physiological --- Processes, Physiological --- Processes, Cell Growth --- Gene Products, Protein --- Gene Proteins --- Protein Gene Products --- Proteins, Gene --- Proteins, Neoplasm --- Cell Division Cycle Proteins --- Cell-Cycle Regulatory Proteins --- cdc Proteins --- Cell Cycle Regulatory Proteins --- Cell Multiplication --- Cell Number Growth --- Cell Growth in Number --- Cellular Proliferation --- Growth, Cell Number --- Multiplication, Cell --- Number Growth, Cell --- Proliferation, Cell --- Proliferation, Cellular --- Cell Division Cycle --- Cell Cycles --- Cell Division Cycles --- Cycle, Cell --- Cycle, Cell Division --- Cycles, Cell --- Cycles, Cell Division --- Division Cycle, Cell --- Division Cycles, Cell --- Growth Suppressor Proteins --- Metastasis Suppressor Proteins --- Proteins, Growth Suppressor --- Proteins, Metastasis Suppressor --- Proteins, Tumor Suppressor --- physiology --- Life sciences. --- Cancer research. --- Biochemistry. --- Cell biology. --- Life Sciences. --- Cell Biology. --- Cancer Research. --- Biochemistry, general. --- Cytology. --- Oncology. --- Tumors --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Chemistry --- Medical sciences --- Cell biology --- Cellular biology --- Cytologists --- Composition --- Cancer research

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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.