Spatiotemporal Modeling of Cancer Immunotherapy
Springer International Publishing (Verlag)
978-3-030-17636-5 (ISBN)
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
William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering, Biomolecular and Chemical Engineering, and Professor of Mathematics at Lehigh University.
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.
"This book is intended to practitioners, students and young researchers with interest in solving differential equations by recourse to the R environment." (Luisa Consiglieri, zbMATH 1478.92004, 2022)
“This book is intended to practitioners, students and young researchers with interest in solving differential equations by recourse to the R environment.” (Luisa Consiglieri, zbMATH 1478.92004, 2022)
| Erscheinungsdatum | 07.07.2020 |
|---|---|
| Zusatzinfo | VIII, 112 p. 70 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 203 g |
| Themenwelt | Medizin / Pharmazie ► Physiotherapie / Ergotherapie ► Orthopädie |
| Naturwissenschaften ► Biologie ► Genetik / Molekularbiologie | |
| Technik ► Umwelttechnik / Biotechnologie | |
| Schlagworte | Boundary PDE Model Output • cancer pde model output • cancer vaccine • cancer vaccine immune checkpoint • Fixed Boundary PDE Model • immune checkpoint inhibitor • Model PDEs • Model PDEs cancer • Moving Boundary PDE Model • ODE/MOL routine |
| ISBN-10 | 3-030-17636-3 / 3030176363 |
| ISBN-13 | 978-3-030-17636-5 / 9783030176365 |
| Zustand | Neuware |
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