Spatiotemporal Modeling of Cancer Immunotherapy

Partial Differential Equation Analysis in R
1. Auflage 2019
ISBN: 978-3-030-17636-5
Verlag: Springer

Buch, Englisch, 112 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 201 g

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

Zielgruppe

Research

Autoren/Hrsg.

Schiesser, William E.

Fachgebiete

• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Onkologie, Krebsforschung
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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.

Über Autor(innen)

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