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Spatiotemporal Modeling of Cancer Immunotherapy : Partial Differential Equation Analysis in R / / by William E. Schiesser



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Autore: Schiesser William E Visualizza persona
Titolo: Spatiotemporal Modeling of Cancer Immunotherapy : Partial Differential Equation Analysis in R / / by William E. Schiesser Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019
Edizione: 1st ed. 2019.
Descrizione fisica: 1 online resource (116 pages) : illustrations
Disciplina: 515.353
Soggetto topico: Biomedical engineering
Mathematical models
Cancer research
R (Computer program language)
Biomedical Engineering/Biotechnology
Mathematical Modeling and Industrial Mathematics
Cancer Research
Biomedical Engineering and Bioengineering
Nota di contenuto: Fixed Boundary PDE Model Formulation -- Fixed Boundary PDE Model Implementation -- Fixed Boundary PDE Model Output -- Moving Boundary PDE Model Implementation -- Moving Boundary PDE Model Output -- Index.
Sommario/riassunto: 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.
Titolo autorizzato: Spatiotemporal Modeling of Cancer Immunotherapy  Visualizza cluster
ISBN: 3-030-19080-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910337938503321
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