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Spatiotemporal modeling of cancer immunotherapy : partial differential equation analysis in R

Author: W E Schiesser
Publisher: Cham, Switzerland : Springer, [2019] ©2019
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Printed edition:
Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: W E Schiesser
ISBN: 9783030190804 3030190803 3030176355 9783030176358 9783030176365 3030176363 9783030191375 3030191370
OCLC Number: 1103320230
Description: 1 online resource : illustrations
Contents: 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.
Responsibility: William E. Schiesser.

Abstract:

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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