Spatiotemporal modeling of cancer immunotherapy : partial differential equation analysis in R / William E. Schiesser.
Schiesser, W. E., author.
2019
RC271.I45
Available Online

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Title Spatiotemporal modeling of cancer immunotherapy : partial differential equation analysis in R / William E. Schiesser.
Author Schiesser, W. E., author.
ISBN 9783030190804 (electronic book)
3030190803 (electronic book)
9783030176358
DOI https://doi.org/10.1007/978-3-030-19
Published Cham, Switzerland : Springer, [2019]
Copyright ©2019
Language English
Description 1 online resource : illustrations
Other Standard Identifiers 10.1007/978-3-030-19
Call Number RC271.I45
Dewey Decimal Classification 616.99/406
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (viewed June 4, 2019).
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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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