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Mathematical Models and Immune Cell Biology

  • Book
  • © 2011

Overview

Editors:
  1. Carmen Molina-París

    1. School of Mathematics, Dept. Applied Mathematics, University of Leeds, Leeds, United Kingdom

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Grant Lythe

    1. School of Mathematics, Dept. Applied Mathematics, University of Leeds, Leeds, United Kingdom

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Contains chapters on mathematical modelling, on immunology, and on mathematical modelling in immunology

  • Reader will also find chapters on dendritic cells, B cells and germinal centers

  • Contains a list of abbreviations to help indicate the type of research that is being carried out

  • Includes supplementary material: sn.pub/extras

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvi
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  2. Thymocyte Development

    • William Jenkinson, Eric Jenkinson, Graham Anderson
    Pages 1-23

  3. A Review of Mathematical Models for T Cell Receptor Triggering and Antigen Discrimination

    • Daniel Coombs, Omer Dushek, P. Anton van der Merwe
    Pages 25-45

  4. Dynamic Tuning of T Cell Receptor Specificity by Co-Receptors and Costimulation

    • Hugo A. van den Berg, Andrew K. Sewell
    Pages 47-73

  5. T Cell Activation and Function: Role of Signal Strength

    • Asma Ahmed, Dipankar Nandi
    Pages 75-105

  6. The Cyton Model for Lymphocyte Proliferation and Differentiation

    • Cameron Wellard, John F. Markham, Edwin D. Hawkins, Phillip D. Hodgkin
    Pages 107-120

  7. Modelling Intravital Two-Photon Data of Lymphocyte Migration and Interaction

    • Marc Thilo Figge, Michael Meyer-Hermann
    Pages 121-139

  8. Modelling Lymphocyte Dynamics In Vivo

    • Becca Asquith, José A. M. Borghans
    Pages 141-169

  9. Continuous-Time Birth and Death Processes: Diversity Maintenance of Naïve T Cells in the Periphery

    • Carmen Molina-París, Emily Stirk, Katie Quinn, Grant Lythe
    Pages 171-186

  10. Multivariate Competition Processes: A Model for Two Competing T Cell Clonotypes

    • Carmen Molina-París, Grant Lythe, Emily Stirk
    Pages 187-205

  11. Stochastic Modelling of T Cell Homeostasis for Two Competing Clonotypes Via the Master Equation

    • Shev MacNamara, Kevin Burrage
    Pages 207-225

  12. Dendritic Cell Migration in the Intestinal Tract

    • Rowann Bowcutt, Sheena Cruickshank
    Pages 227-240

  13. Reassessing Germinal Centre Reaction Concepts

    • Jose Faro, Michal Or-Guil
    Pages 241-258

  14. B Cell Strategies of Ag Recognition in a Stratified Immune System

    • Belen de Andrés, Ana R. Sánchez-Archidona, Isabel Cortegano, Natalia Serrano, Sharmili Jagtap, María-Luisa Gaspar et al.
    Pages 259-274

  15. Dynamics of Peripheral Regulatory and Effector T Cells Competing for Antigen Presenting Cells

    • Nuno Sepúlveda, Jorge Carneiro
    Pages 275-303

  16. Mathematical Models of the Role of IL-2 in the Interactions Between Helper and Regulatory CD4+ T Cells

    • Kalet León, Karina García-Martínez
    Pages 305-337

  17. A Physicist’s Approach to Immunology

    • Mario Castro
    Pages 339-350

  18. Timescales of the Adaptive Immune Response

    • Mark Day, Grant Lythe
    Pages 351-361

  19. Using Mathematical Models to Explore the Role of Cytotoxic T Lymphocytes in HIV Infection

    • Helen Fryer, Angela McLean
    Pages 363-382

  20. Viral Immunity and Persistence

    • Stephen Hickling, Rodney Phillips
    Pages 383-404
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Keywords

About this book

Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world.

Editors and Affiliations

  • School of Mathematics, Dept. Applied Mathematics, University of Leeds, Leeds, United Kingdom

    Carmen Molina-París, Grant Lythe

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