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From humble beginnings over 25 years ago as a lipid kinase activity associated with certain oncoproteins, PI3K (phosphoinositide 3-kinase) has been catapulted to the forefront of drug development in cancer, immunity and thrombosis, with the first clinical trials of PI3K pathway inhibitors now in progress. Here the authors give a brief overview of some key discoveries in the PI3K area and their impact, and include thoughts on the current state of the field, and where it could go from here.

Phosphoinositides. --- Cell proliferation. --- Cell death. --- Apoptosis. --- Cell renewal --- Cellular proliferation --- Phosphatidylinositides --- Phosphatidylinositol phosphates --- Medicine. --- Cancer research. --- Biomedicine. --- Cancer Research. --- Cancer research --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Cell death --- Cell degeneration --- Cells --- Death (Biology) --- Cell cycle --- Cell division --- Cell populations --- Phospholipids --- Inositol --- Growth --- Oncology. --- Tumors

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From humble beginnings over 25 years ago as a lipid kinase activity associated with certain oncoproteins, PI3K (phosphoinositide 3-kinase) has been catapulted to the forefront of drug development in cancer, immunity and thrombosis, with the first clinical trials of PI3K pathway inhibitors now in progress. Here the authors give a brief overview of some key discoveries in the PI3K area and their impact, and include thoughts on the current state of the field, and where it could go from here.

Phosphoinositides. --- Cell proliferation. --- Cell death. --- Apoptosis. --- Phosphatidylinositides --- Phosphatidylinositol phosphates --- Cell renewal --- Cellular proliferation --- Medicine. --- Cancer research. --- Human physiology. --- Molecular biology. --- Biomedicine. --- Cancer Research. --- Human Physiology. --- Molecular Medicine. --- Molecular biochemistry --- Molecular biophysics --- Biochemistry --- Biophysics --- Biomolecules --- Systems biology --- Human biology --- Medical sciences --- Physiology --- Human body --- Cancer research --- Clinical sciences --- Medical profession --- Life sciences --- Pathology --- Physicians --- Cell death --- Cell degeneration --- Cells --- Death (Biology) --- Cell cycle --- Cell division --- Cell populations --- Phospholipids --- Inositol --- Growth --- Oncology. --- Tumors --- Health Workforce --- Cancer. --- Medicine --- Biology --- Cancer Biology. --- Biomedical Research. --- Research. --- Biological research --- Biomedical research --- Cancers --- Carcinoma --- Malignancy (Cancer) --- Malignant tumors

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57.017.2 --- 57.087.1 --- 576.5 --- 574.3 --- #WPLT:dd.Prof.F.Symons --- 574.3 Populations and environment. Population dynamics --- Populations and environment. Population dynamics --- 576.5 Cell interactions. Intercellular junctions. Cell populations. Cell behaviour in culture --- Cell interactions. Intercellular junctions. Cell populations. Cell behaviour in culture --- 57.087.1 Biometry. Statistical study and treatment of biological data --- Biometry. Statistical study and treatment of biological data --- 57.017.2 Origin. Formation. Localization. Arrangement --- Origin. Formation. Localization. Arrangement --- Discrete mathematics --- Biomathematics. Biometry. Biostatistics --- Functional analysis --- Biology --- Biomathematics --- Biologie --- Biomathématiques --- Mathematical models --- Modèles mathématiques --- Graph theory --- Théorie des graphes --- Geometry, Algebraic --- Géométrie algébrique --- Mathematics --- Mathématiques --- History --- Histoire --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- Algebraic geometry --- Geometry --- Biomathematics. --- Geometry, Algebraic. --- Graph theory. --- Mathematical models. --- History. --- Addresses, essays, lectures --- 519.1 --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory --- Géométrie algébrique --- Mathematics - History --- Biomathematique --- Methodes mathematiques --- Histoire des mathematiques --- 20e siecle

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Zoohistology. Zoocytology --- Cell proliferation --- Cellular control mechanisms --- Cellules --- Régulation cellulaire --- Congresses --- Prolifération --- Congrès --- Cell Division. --- Cell Transformation, Neoplastic. --- -Cellular control mechanisms --- -Cell regulation --- Biological control systems --- Cell metabolism --- Cell renewal --- Cellular proliferation --- Cell cycle --- Cell division --- Cell populations --- Cells --- Neoplastic Cell Transformation --- Transformation, Neoplastic Cell --- Tumorigenic Transformation --- Neoplastic Transformation, Cell --- Cell Neoplastic Transformation --- Cell Neoplastic Transformations --- Cell Transformations, Neoplastic --- Neoplastic Cell Transformations --- Neoplastic Transformations, Cell --- Transformation, Cell Neoplastic --- Transformation, Tumorigenic --- Transformations, Cell Neoplastic --- Transformations, Neoplastic Cell --- Transformations, Tumorigenic --- Tumorigenic Transformations --- Cell Line, Transformed --- Cell Division Phase --- Cell Divisions --- M Phase --- Division Phase, Cell --- Division, Cell --- Divisions, Cell --- M Phases --- Phase, Cell Division --- Phase, M --- Phases, M --- Cleavage Stage, Ovum --- Growth --- Congresses. --- -Congresses --- -Neoplastic Cell Transformation --- Cell regulation --- Régulation cellulaire --- Prolifération --- Congrès --- Cell Division --- Cell Transformation, Neoplastic --- Cell proliferation - Congresses --- Cellular control mechanisms - Congresses

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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.