عنوان

Spatiotemporal modeling of cancer immunotherapy :

3030176355

3030176363

3030190803

3030191370

9783030176358

9783030176365

9783030190804

9783030191375

9783030176358

Spatiotemporal modeling of cancer immunotherapy :

[Book]

partial differential equation analysis in R /

William E. Schiesser.

Cham, Switzerland :

Springer,

[2019]

©2019

1 online resource :

illustrations

Includes bibliographical references and index.

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.

0

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.

Springer Nature

com.springer.onix.9783030190804

9783030176358

9783030176365

9783030191375

Cancer-- Immunotherapy-- Mathematical models.

Differential equations, Partial.

Immunotherapy-- Mathematical models.

Differential equations, Partial.

MEDICAL-- Clinical Medicine.

MEDICAL-- Diseases.

MEDICAL-- Evidence-Based Medicine.

MEDICAL-- Internal Medicine.

MEDICAL-- Oncology-- General.

MED-- 014000

MED-- 022000

MED-- 045000

MED-- 062000

MED-- 112000

MQW

MQW

Schiesser, W. E.

20200823085734.0

pn

[Book]

Y