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Industries --- Environmental protection --- Economic development --- Industrie --- Environnement --- Développement économique --- Environmental aspects --- Aspect de l'environnement --- Protection --- Développement économique --- Éco-industries --- Éco-produits --- Développement durable --- Innovations
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Excavations (Archaeology) --- Fouilles (Archéologie) --- Tours --- Periodicals. --- Périodiques --- Tours (France) --- France --- History --- Antiquities --- Histoire --- Antiquités
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The focus of this book is a detailed discussion of a dual cancer vaccine (CV)-immune checkpoint inhibitor (ICI) mathematical model formulated as a system of partial differential equations (PDEs) defining the spatiotemporal distribution of cells and biochemicals during tumor growth. A computer implementation of the model is discussed in detail for the quantitative evaluation of CV-ICI therapy. The coding (programming) consists of a series of routines in R, a quality, open-source scientific computing system that is readily available from the internet. The routines are based on the method of lines (MOL), a general PDE algorithm that can be executed on modest computers within the basic R system. The reader can download and use the routines to confirm the model solutions reported in the book, then experiment with the model by varying the parameters and modifying/extending the equations, and even studying alternative models with the PDE methodology demonstrated by the CV-ICI model. Spatiotemporal Modeling of Cancer Immunotherapy: Partial Differential Equation Analysis in R facilitates the use of the model, and more generally, computer- based analysis of cancer immunotherapy mathematical models, as a step toward the development and quantitative evaluation of the immunotherapy approach to the treatment of cancer.
Differential equations, Partial. --- Partial differential equations --- Biomedical engineering. --- Oncology. --- Biomedical Engineering/Biotechnology. --- Mathematical Modeling and Industrial Mathematics. --- Cancer Research. --- Biomedical Engineering and Bioengineering. --- Tumors --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Mathematical models. --- Cancer research. --- Cancer research --- Models, Mathematical --- Simulation methods --- R (Computer program language). --- GNU-S (Computer program language) --- Domain-specific programming languages
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Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point-a system of three partial differential equations (PDEs)-that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics.--
Differential equations, Partial. --- Neovascularization --- Retina --- R (Computer program language) --- Retinal Neovascularization. --- Models, Theoretical. --- Computer Simulation. --- Mathematical Computing. --- Mathematical models. --- Blood-vessels. --- Computing, Statistical --- Mathematic Computing --- Statistical Programs, Computer Based --- Statistical Computing --- Computing, Mathematic --- Computing, Mathematical --- Computings, Mathematic --- Computings, Mathematical --- Computings, Statistical --- Mathematic Computings --- Mathematical Computings --- Statistical Computings --- Computerized Models --- In Silico --- Computer Models --- Models, Computer --- Computer Model --- Computer Simulations --- Computerized Model --- In Silicos --- Model, Computer --- Model, Computerized --- Models, Computerized --- Silico, In --- Silicos, In --- Simulation, Computer --- Simulations, Computer --- Experimental Model --- Experimental Models --- Mathematical Model --- Model, Experimental --- Models (Theoretical) --- Models, Experimental --- Models, Theoretic --- Theoretical Study --- Mathematical Models --- Model (Theoretical) --- Model, Mathematical --- Model, Theoretical --- Models, Mathematical --- Studies, Theoretical --- Study, Theoretical --- Theoretical Model --- Theoretical Models --- Theoretical Studies --- Computer Simulation --- Systems Theory --- Neovascularization, Optic Disc --- Neovascularization, Retinal --- Optic Disc Neovascularization --- Optic Disk Neovascularization --- Sea Fan Neovascularization --- Disk Neovascularization, Optic --- Neovascularization, Optic Disk --- Neovascularization, Sea Fan --- Optic Disc Neovascularizations --- Optic Disk Neovascularizations --- Sea Fan Neovascularizations --- GNU-S (Computer program language) --- Domain-specific programming languages --- Blood-vessels --- Partial differential equations --- Growth
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Parkinson's disease. --- Palsy, Shaking --- Paralysis agitans --- Parkinson disease --- Parkinsonism --- Shaking palsy --- Brain --- Extrapyramidal disorders --- Diseases
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Drug resistance in microorganisms --- R (Computer program language) --- Antibiotics --- Mathematical models. --- Anti-infective agents --- Microbial metabolites --- Allelopathic agents --- Antibiosis --- Pharmaceutical microbiology --- Phytoncides --- GNU-S (Computer program language) --- Domain-specific programming languages --- Antibiotic resistance in microorganisms --- Antibiotics resistance in microorganisms --- Bacterial resistance to antibiotics --- Drug resistance in micro-organisms --- Microbial drug resistance --- Resistance to drugs in microorganisms --- Microorganisms --- Effect of drugs on
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