Selected Topics in Cancer Modeling

Genesis, Evolution, Immune Competition, and Therapy


ISBN: 978-0-8176-4712-4 (Print) 978-0-8176-4713-1 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages 1-15

  2. Chapter

    Pages 1-30

    Genetic and Epigenetic Pathways to Colon Cancer Relating Experimental Evidence with Modeling

  3. Chapter

    Pages 1-17

    From Kinetic Theory for Active Particles to Modelling Immune Competition

  4. Chapter

    Pages 1-15

    Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue

  5. Chapter

    Pages 1-32

    Nonlinear Renewal Equations

  6. Chapter

    Pages 1-16

    A Game Theoretical Perspective on the Somatic Evolution of cancer

  7. Chapter

    Pages 1-69

    Nonlinear Modeling and Simulation of Tumor Growth

  8. Chapter

    Pages 1-24

    Tumour Cords and Their Response to Anticancer Agents

  9. Chapter

    Pages 1-15

    Modeling Diffusely Invading Brain Tumors An Individualized Approach to Quantifying Glioma Evolution and Response to Therapy

  10. Chapter

    Pages 1-31

    Multiphase Models of Tumour Growth

  11. Chapter

    Pages 1-22

    The Lymphatic Vascular System in Lymphangiogenesis Invasion and Metastasis A Mathematical Approach

  12. Chapter

    Pages 1-22

    M for Invasion Morphology Mutation and the Microenvironment

  13. Chapter

    Pages 1-37

    Methods of Stochastic Geometry and Related Statistical Problems in the Analysis and Therapy of Tumour Growth and Tumour Driven Angiogenesis

  14. Chapter

    Pages 1-25

    Mathematical Modelling of Breast Carcinogenesis, Treatment with Surgery and Radiotherapy and Local Recurrence

  15. Chapter

    Pages 1-22

    Predictive Models in Tumor Immunology

  16. Chapter

    Pages 1-33

    Dynamically Adaptive Tumour Induced Angiogenesis The Impact of Flow on the Developing Capillary Plexus

  17. Chapter

    Pages 1-30

    Dynamic Irregular Patterns and Invasive Wavefronts The Control of Tumour Growth by Cytotoxic T Lymphocytes

  18. Chapter

    Pages 1-25

    Multiscale Modelling of Solid Tumour Growth