Modeling cyclic waves of circulating T cells in autoimmune diabetes

SIAM Journal on Applied Mathematics

Volumn 67, Issue 4, 2007, Pages 915-937

  Mahaffy, Joseph M ^a   Edelstein Keshet, Leah ^b  

^a SAN DIEGO STATE UNIVERSITY   (United States)

^b UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Autoimmune diabetes; CD8+ T cells; Cycles; Homoclinic bifurcation; Mathematical model; Type 1 diabetes

Indexed keywords

DISEASES; IMMUNIZATION; INSULIN; MATHEMATICAL MODELS; MEDICAL PROBLEMS;

AUTOIMMUNE DIABETES; HOMOCLINIC BIFURCATION; TYPE 1 DIABETES;

CELLS;

EID: 34548267062     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060661144     Document Type: Article

References (27)

1. A. AMRANI, P. SERRA, J. YAMANOUCHI, J. D. TRUDEAU, R. TAN, J. F. ELLIOTT, AND P. SANTAMARIA, Expansion of the antigenic repertoire of a single T cell receptor upon T cell activation, J. Immunol., 167 (2001), pp. 655-666.
2. A. AMRANI, J. VERDAGUER, P. SERRA, S. TAFURO, R. TAN, AND P. SANTAMARIA, Progression of autoimmune diabetes driven by avidity maturation of a T-cell population, Nature, 406 (2000), pp. 739-742.
3. J. A. M. BORGHANS, A. J. NOEST, AND R. J. DE BOER, How specific should immunological memory be? J. Immunol., 163 (1999), pp. 569-575.
4. J. A. M. BORGHANS, L. S. TAAMS, M. H. M. WAUBEN, AND R. J. DE BOER, Competition for antigenic sites during T cell proliferation: A mathematical interpretation of in vitro data, Proc. Natl. Acad. Sci. USA, 96 (1999), pp. 10782-10787.
5. + T-cell response to lymphocytic choriomeningitis virus, J. Virol., 75 (2001), pp. 10663-10669.
6. B. HAN, P. SERRA, A. AMRANI, J. YAMANOUCHI, A. F. M. MARÉE, L. EDELSTEIN- KESHET, AND P. SANTAMARIA, Prevention of diabetes by manipulation of anti-IGRP autoimmunity: High efficiency of a low-affinity peptide, Nat. Med., 11 (2005), pp. 645-652.
7. D. R. JACKOLA AND H. M. HALLGREN, Dynamic phenotypic restructuring of the CDA and CD8 T-cell subsets with age in healthy humans: A compartmental model analysis, Mech. Ageing Dev., 105 (1998), pp. 241-264.
8. J. JACOB AND D. BALTIMORE, Modelling T-cell memory by genetic marking of memory T cells in vivo, Nature, 399 (1999), pp. 593-597.
9. C. JANEWAY, Immunobiology: The Immune System in Health and Disease, Garland Science, New York, 2005.
10. + T cells in autoimmune diabetes, Proc. Natl. Acad. Sci. USA, 100 (2003), pp. 8384-8388.
11. R. MAILE, B. WANG, W. SCHOOLER, A. MEYER, E. J. COLLINS, AND J. A. FRELINGER, Antigenspecific modulation of an immune response by in vivo administration of soluble MHC class I tetramers, J. Immunol., 167 (2001), pp. 3708-3714.
12. A. F. M. MARÉE, M. KOMBA, C. DYCK, M. ŁABEÇKI, D. T. FINEGOOD, AND L. EDELSTEIN-KESHET, Quantifying macrophage defects in type 1 diabetes, J. Theoret. Biol., 233 (2005), pp. 533-551.
13. A. F. M. MARÉE, R. KUBLIK, D. T. FINEGOOD, AND L. EDELSTEIN-KESHET, Modelling the onset of type 1 diabetes: Can impaired macrophage phagocytosis make the difference between health and disease? Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 364 (2006), pp. 1267 1282.
14. +) T-cells in autoimmune diabetes: Implications for antigen-specific therapy, Int. Immunol., 18 (2006), pp. 1067-1077.
15. D. H. MARGULIES, Interactions of TCRs with MHC-peptide complexes: A quantitative basis for mechanistic models, Curr. Opin. Immunol., 9 (1997), pp. 390-395.
16. T. W. MCKEITHAN, Kinetic proofreading in T-cell receptor signal transduction, Proc. Nat. Acad. Sci. U.S.A., 92 (1995), pp. 5042-5046.
17. D. MOSKOPHIDIS, F. LECHNER, H. PIRCHER, AND R. M. ZINKERNAGEL, Virus persistence in acutely infected immunocompetent mice by exhaustion of antiviral cytotoxic effector T cells, Nature, 362 (1993), pp. 758-761.
18. B. A. O'BRIEN, W. E. FIELDUS, C. J. FIELD, AND D. T. FINEGOOD, Clearance of apoptotic beta-cells is reduced in neonatal autoimmune diabetes-prone rats, Cell Death. Differ., 9 (2002), pp. 457-464.
19. B. A. O'BRIEN, Y. HUANG, X. GENG, J. P. DUTZ, AND D. T. FINEGOOD, Phagocytosis of apoptotic cells by macrophages from NOD mice is reduced, Diabetes, 51 (2002), pp. 2481-2488.
20. J. T. OPFERMAN, B. T. OBER, AND P. G. ASHTON-RICKARDT, Linear differentiation of cytotoxic effectors into memory T lymphocytes, Science, 283 (1999), pp. 1745-1748.
21. P. A. SAVAGE, J. J. BONIFACE, AND M. M. DAVIS, A kinetic basis for T cell receptor repertoire selection during an immune response, Immunity, 10 (1999), pp. 485-492.
22. D. F. TOUGH AND J. SPRENT, Turnover of naive- and memory-phenotype T cells, J. Exp. Med., 179 (1994), pp. 1127-1135.
23. J. D. TRUDEAU, C. KELLY-SMITH, C. B. VERCHERE, J. F. ELLIOTT, J. P. DUTZ, D. T. FINEGOOD, P. SANTAMARIA, AND R. TAN, Prediction of spontaneous autoimmune diabetes in NOD mice by quantification of autoreactive T cells in peripheral blood, J. Clin. Invest., 111 (2003), pp. 217-223.
24. S. VALITUTTI, S. MÜLLER, M. CELLA, E. PADOVAN, AND A. LANZAVECCHIA, Serial triggering of many T-cell receptors by a few peptide-MHC complexes, Nature, 375 (1995), pp. 148-151.
25. + T cells to antigen stimulation in vivo, Nat. Immunol., 1 (2000), pp. 47-53.
26. A. VIOLA AND A. LANZAVECCHIA, T cell activation determined by T cell receptor number and tunable thresholds, Science, 273 (1996), pp. 104-106.
27. A. D. WELLS, H. GUDMUNDSDOTTIR, AND L. A. TURKA, Following the fate of individual T cells throughout activation and clonal expansion: Signals from T cell receptor and CD28 differentially regulate the induction and duration of a proliferative response, J. Clin. Invest., 100 (1997), pp. 3173-3183.