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

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

560 Lei (TVA inclus)
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Cod produs/ISBN: 9783030176358

Disponibilitate: La comanda in aproximativ 4 saptamani

Editura: Springer

Limba: Engleza

Nr. pagini: 124

Coperta: Softcover

Dimensiuni: 15.6 x 0.79 x 23.39 cm

An aparitie: 2019

 

Description:

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

 

Table of Contents:

 

1. Fixed Boundary PDE Model Formulation

2. Fixed Boundary PDE Model Implementation

3. Fixed Boundary PDE Model Output

4. Moving Boundary PDE Model Implementation

5. Moving Boundary PDE Model Output

Correction to: Spatiotemporal Modeling of Cancer Immunotherapy

 


An aparitie 2019
Autor Schiesser, William E.
Dimensiuni 15.6 x 0.79 x 23.39 cm
Editura Springer
Format Softcover
ISBN 9783030176358
Limba Engleza
Nr pag 124

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