William E. Schiesser

Spatiotemporal Modeling of Cancer Immunotherapy (eBook, PDF)

Partial Differential Equation Analysis in R

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 112
• Erscheinungstermin: 30. Mai 2019
• Englisch
• ISBN-13: 9783030190804
• Artikelnr.: 58515695

Autorenporträt

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering, Biomolecular and Chemical Engineering, and Professor of Mathematics at Lehigh University.

Inhaltsangabe

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.

Rezensionen

"This book is intended to practitioners, students and young researchers with interest in solving differential equations by recourse to the R environment." (Luisa Consiglieri, zbMATH 1478.92004, 2022)