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Spatiotemporal Modeling of Cancer Immunotherapy: Partial Differential Equation Analysis in R

Spatiotemporal Modeling of Cancer Immunotherapy: Partial Differential Equation Analysis in R

Hardcover

Medical ReferenceGeneral Mathematics

ISBN10: 3030176355
ISBN13: 9783030176358
Publisher: Springer Nature
Published: Jun 17 2019
Pages: 112
Weight: 0.78
Height: 0.31 Width: 6.14 Depth: 9.21
Language: English

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.

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Medical Reference