| Document Type
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BL
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| Record Number
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861706
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| Main Entry
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Schiesser, W. E.
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| Title & Author
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Spatiotemporal modeling of cancer immunotherapy : : partial differential equation analysis in R /\ William E. Schiesser.
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| Publication Statement
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Cham, Switzerland :: Springer,, [2019]
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, ©2019
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| Page. NO
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1 online resource :: illustrations
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| ISBN
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3030176355
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: 3030176363
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: 3030190803
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: 3030191370
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: 9783030176358
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: 9783030176365
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: 9783030190804
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: 9783030191375
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9783030176358
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Cancer-- Immunotherapy-- Mathematical models.
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Differential equations, Partial.
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Immunotherapy-- Mathematical models.
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Differential equations, Partial.
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MEDICAL-- Clinical Medicine.
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MEDICAL-- Diseases.
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MEDICAL-- Evidence-Based Medicine.
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MEDICAL-- Internal Medicine.
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| Subject
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MEDICAL-- Oncology-- General.
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| Dewey Classification
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616.99/406
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| LC Classification
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RC271.I45
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