Mathematical Biosciences and Engineering (MBE)

Parameters identification for a model of T cell homeostasis
Pages: 917 - 936, Issue 5, October 2015

doi:10.3934/mbe.2015.12.917      Abstract        References        Full text (1013.6K)           Related Articles

Houssein Ayoub - IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France (email)
Bedreddine Ainseba - IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France (email)
Michel Langlais - IMB UMR CNRS 5251, Bordeaux University, 3 Place de la Victoire, 33076 Bordeaux Cedex, France (email)
Rodolphe Thiébaut - INSERM U897, ISPED, Bordeaux University, Bordeaux, France (email)

1 H. Ayoub, B. E. Ainseba, M. Langlais, T. Hogan, R. Callard, B. Seddon and R. Thiébaut, Parameter identification for model of T cell proliferation in Lymphopenia conditions, Mathematical biosciences, 251 (2014), 63-71.       
2 S. Bernard, L. Pujo-Menjouet and M. C Mackey, Analysis of cell kinetics using a cell division marker: Mathematical modeling of experimental data, Biophysical Journal, 84 (2003), 3414-3424.
3 R. J. Boer, V. V. Ganusov, D. Milutinovic, P. D. Hodgkin and A. S. Perelson, Estimating lymphocyte division and death rates from CFSE data, Bulletin of Mathematical Biology, 68 (2006), 1011-1031.
4 F. J. Burns and I. F. Tannock, On the existence of a go-phase in the cell cycle, Cell Proliferation, 3 (1970), 321-334.
5 W. B. Cannon, The Wisdom of the Body, 1932.
6 A. Freitas and J. Chen, Introduction: Regulation of lymphocyte homeostasis, Microbes and Infection, 4 (2002), 529-530.
7 A. Freitas and B. Rocha, Population biology of lymphocytes: The flight for survival, Annual Review of Immunology, 18 (2000), 83-111.
8 V. V. Ganusov, D. Milutinovic and R. J. De Boer, IL-2 regulates expansion of CD4+ T cell populations by affecting cell death: Insights from modeling CFSE data, The Journal of Immunology, 179 (2007), 950-957.
9 V. V. Ganusov, S. S. Pilyugin, R. J. de Boer, K. Murali-Krishna, R. Ahmed and R. Antia, Quantifying cell turnover using CFSE data, Journal of Immunological Methods, 298 (2005), 183-200.
10 A. W. Goldrath, C. J. Luckey, R. Park, C. Benoist and D. Mathis, The molecular program induced in T cells undergoing homeostatic proliferation, Proceedings of the National Academy of Sciences of the United States of America, 101 (2004), 16885-16890.
11 S. E. Hamilton, M. C. Wolkers, S. P. Schoenberger and S. C. Jameson, The generation of protective memory-like CD8+ T cells during homeostatic proliferation requires CD4+ T cells, Nat Immunol, 7 (2006), 475-481.
12 T. Hogan, A. Shuvaev, D. Commenges, A. Yates, R. Callard, R. Thiebaut and B. Seddon, Clonally Diverse T Cell Homeostasis Is Maintained by a Common Program of Cell-Cycle Control, The Journal of Immunology, 190 (2013), 3985-3993.
13 S. C. Jameson, T cell homeostasis: Keeping useful T cells alive and live T cells useful, Seminars in Immunology, 17 (2005), 231-237.
14 S. C. Jameson, Maintaining the norm: T-cell homeostasis, Nature Reviews Immunology, 2 (2002), 547-556.
15 H. Lee, E. Hawkins, M. S. Zand, T. Mosmann, H. Wu, P. D. Hodgkin and A. S. Perelson, Interpreting CFSE Obtained Division Histories of B Cells in Vitro with Smith-Martin and Cyton Type Models, Bulletin of Mathematical Biology, 71 (2009), 1649-1670.       
16 H. Lee and A. S. Perelson, Modeling T Cell Proliferation and Death in Vitro Based on Labeling Data: Generalizations of the Smith-Martin Cell Cycle Model, Bulletin of Mathematical Biology, 70 (2008), 21-44.       
17 S. S. Pilyugin, V. V. Ganusov, K. Murali-Krishna, R. Ahmed and R. Antia, The rescaling method for quantifying the turnover of cell populations, Journal of Theoretical Biology, 225 (2003), 275-283.       
18 C. R. Parish, Fluorescent dyes for lymphocyte migration and proliferation studies, Immunol Cell Biol, 77 (1999), 499-508.
19 J. A. Smith and L. Martin, Do Cells Cycle?, Proceedings of the National Academy of Sciences, 70 (1973), 1263-1267.
20 C. Tanchot, F. A. Lemonnier, B. Pérarnau, A. A. Freitas and B. Rocha, Differential requirements for survival and proliferation of CD8 naïve or memory T cells, Science, 276 (1997), 2057-2762.
21 I. V. Numerics, Imsl Fortran 90 Library: User's Guide, Visual Numerics, 1996.
22 A. Yates, M. Saini, A. Mathiot and B. Seddon, Mathematical modeling reveals the biological program regulating lymphopenia-induced proliferation, The Journal of Immunology, 180 (2008), 1414-1422.

Go to top