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Spatiotemporal modeling of cancer im...

Schiesser, William E.

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Spatiotemporal modeling of cancer immunotherapy = partial differential equation analysis in R /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spatiotemporal modeling of cancer immunotherapy/ by William E. Schiesser.
Reminder of title:	partial differential equation analysis in R /
Author:	Schiesser, William E.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	viii, 112 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Cancer - Immunotherapy -
Online resource:	https://doi.org/10.1007/978-3-030-19080-4
ISBN:	9783030190804

Spatiotemporal modeling of cancer immunotherapy = partial differential equation analysis in R /
Schiesser, William E.

Spatiotemporal modeling of cancer immunotherapypartial differential equation analysis in R /[electronic resource] :by William E. Schiesser. - Cham :Springer International Publishing :2019. - viii, 112 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783030190804

Standard No.: 10.1007/978-3-030-19080-4doiSubjects--Topical Terms:

3410188
Cancer
--Immunotherapy

LC Class. No.: RC271.I45 / S354 2019

Dewey Class. No.: 616.99406

Spatiotemporal modeling of cancer immunotherapy = partial differential equation analysis in R /
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300 $a viii, 112 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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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650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 891089
650 2 4 $a Cancer Research. $3 891172
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