Multiscale Modeling of Cancer An Integrated Experimental and Mathematical Modeling Approach 1st Edition by Vittorio Cristini, John Lowengrub 052188442X 9780521884426

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Product details:

ISBN 10: 052188442X

ISBN 13: 9780521884426

Author: Vittorio Cristini, John Lowengrub

Mathematical modeling, analysis and simulation are set to play crucial roles in explaining tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial scales. This book, the first to integrate state-of-the-art numerical techniques with experimental data, provides an in-depth assessment of tumor cell modeling at multiple scales. The first part of the text presents a detailed biological background with an examination of single-phase and multi-phase continuum tumor modeling, discrete cell modeling, and hybrid continuum-discrete modeling. In the final two chapters, the authors guide the reader through problem-based illustrations and case studies of brain and breast cancer, to demonstrate the future potential of modeling in cancer research. This book has wide interdisciplinary appeal and is a valuable resource for mathematical biologists, biomedical engineers and clinical cancer research communities wishing to understand this emerging field.

Multiscale Modeling of Cancer An Integrated Experimental and Mathematical Modeling Approach 1st Table of contents:

Part I: Theory

1. Introduction
2. Biological Background
3. Single-Phase Continuum Tumor Modeling
4. Analysis and Calibration of Single-Phase Models
5. Multiphase Continuum Tumor Modeling
6. Discrete Cell Modeling
7. Hybrid Continuum-Discrete Models
8. Numerical Schemes

Part II: Applications
9. Multidisciplinary Approaches in Continuum Tumor Modeling
10. Agent-Based Cell Modeling in Breast Cancer

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Vittorio Cristini,John Lowengrub,Multiscale,Integrated