Mathematical Models and Immune Cell Biology

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

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.

• newjc
• Systems Biology
• Receptors

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

  Carmen Molina-París, Grant Lythe

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