Spatiotemporal Modeling of Cancer Immunotherapy

Partial Differential Equation Analysis in R

Authors: Schiesser, William E.

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  • Facilitates computer-based analysis of CV-ICI mathematical models as a step toward the development and quantitative evaluation of the immunotherapy approach to the treatment of cancer
  • Provides detailed discussion of a dual cancer vaccine (CV) - immune checkpoint inhibitor (ICI) mathematical model
  • Routines are programmed in R, a quality open-source computing system that is readily available as a download from the internet
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-19080-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-17635-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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

About the authors

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

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-030-19080-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for USA in USD
  • ISBN 978-3-030-17635-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Spatiotemporal Modeling of Cancer Immunotherapy
Book Subtitle
Partial Differential Equation Analysis in R
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-19080-4
DOI
10.1007/978-3-030-19080-4
Hardcover ISBN
978-3-030-17635-8
Edition Number
1
Number of Pages
VIII, 112
Number of Illustrations
70 b/w illustrations
Topics