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

By William E. Schiesser

Book Overview

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.

To download the R routines, please visit: http: //www.lehigh.edu/ wes1/ci_download

• Format: Hardcover
• Language: English
• ISBN: 3030176355
• ISBN13: 9783030176358
• Release Date: June 2019
• Publisher: Springer
• Length: 112 Pages
• Weight: 0.78 lbs.
• Dimensions: 0.3" x 6.1" x 9.2"