03747nam 22005535 450 991033793850332120230217192008.03-030-19080-310.1007/978-3-030-19080-4(CKB)4100000008340236(MiAaPQ)EBC5782530(DE-He213)978-3-030-19080-4(PPN)238493105(EXLCZ)99410000000834023620190601d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSpatiotemporal Modeling of Cancer Immunotherapy Partial Differential Equation Analysis in R /by William E. Schiesser1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (116 pages) illustrations3-030-17635-5 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.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.Biomedical engineeringMathematical modelsCancer researchR (Computer program language)Biomedical Engineering/Biotechnologyhttps://scigraph.springernature.com/ontologies/product-market-codes/B24000Mathematical Modeling and Industrial Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M14068Cancer Researchhttps://scigraph.springernature.com/ontologies/product-market-codes/B11001Biomedical Engineering and Bioengineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T2700XBiomedical engineering.Mathematical models.Cancer research.R (Computer program language).Biomedical Engineering/Biotechnology.Mathematical Modeling and Industrial Mathematics.Cancer Research.Biomedical Engineering and Bioengineering.515.353Schiesser William Eauthttp://id.loc.gov/vocabulary/relators/aut506133BOOK9910337938503321Spatiotemporal Modeling of Cancer Immunotherapy1959940UNINA