Mathematical Models and Immune Cell Biology

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Mathematical immunology is in a period of rapid expansion and excitement. At recent meetings, a common language and research direction has emerged amongst a world-class group of scientists and mathematicians. Mathematical Models and Immune Cell Biology aims to communicate these new ideas to a wider audience. The reader will be exposed to a variety of tools and methods that go hand-in-hand with the immunological processes being modeled. This volume contains chapters, written by immunologists and mathematicians, on thymocytes, on T cell interactions, activation, proliferation and homeostasis, as well as on dendritic cells, B cells and germinal centers. Chapters are devoted to measurement and imaging methods and to HIV and viral infections.

Author(s): William Jenkinson, Eric Jenkinson (auth.), Carmen Molina-París, Grant Lythe (eds.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2011

Language: English
Pages: 407
Tags: Immunology; Systems Biology; Computational Biology/Bioinformatics; Receptors

Front Matter....Pages i-xvi
Thymocyte Development....Pages 1-23
A Review of Mathematical Models for T Cell Receptor Triggering and Antigen Discrimination....Pages 25-45
Dynamic Tuning of T Cell Receptor Specificity by Co-Receptors and Costimulation....Pages 47-73
T Cell Activation and Function: Role of Signal Strength....Pages 75-105
The Cyton Model for Lymphocyte Proliferation and Differentiation....Pages 107-120
Modelling Intravital Two-Photon Data of Lymphocyte Migration and Interaction....Pages 121-139
Modelling Lymphocyte Dynamics In Vivo....Pages 141-169
Continuous-Time Birth and Death Processes: Diversity Maintenance of Naïve T Cells in the Periphery....Pages 171-186
Multivariate Competition Processes: A Model for Two Competing T Cell Clonotypes....Pages 187-205
Stochastic Modelling of T Cell Homeostasis for Two Competing Clonotypes Via the Master Equation....Pages 207-225
Dendritic Cell Migration in the Intestinal Tract....Pages 227-240
Reassessing Germinal Centre Reaction Concepts....Pages 241-258
B Cell Strategies of Ag Recognition in a Stratified Immune System....Pages 259-274
Dynamics of Peripheral Regulatory and Effector T Cells Competing for Antigen Presenting Cells....Pages 275-303
Mathematical Models of the Role of IL-2 in the Interactions Between Helper and Regulatory CD4 + T Cells....Pages 305-337
A Physicist’s Approach to Immunology....Pages 339-350
Timescales of the Adaptive Immune Response....Pages 351-361
Using Mathematical Models to Explore the Role of Cytotoxic T Lymphocytes in HIV Infection....Pages 363-382
Viral Immunity and Persistence....Pages 383-404
Back Matter....Pages 405-407