Process noise: An explanation for the fluctuations in the immune response during acute viral infection

Biophysical Journal

Volumn 92, Issue 10, 2007, Pages 3358-3367

  Milutinovic D ^a,b   De Boer, R J ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

^b DUKE UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACUTE DISEASE; ARTICLE; CD8+ T LYMPHOCYTE; IMMUNE RESPONSE; LYMPHOCYTIC CHORIOMENINGITIS VIRUS; NOISE; NONHUMAN; STOCHASTIC MODEL; T LYMPHOCYTE ACTIVATION; VIRUS INFECTION;

MUS;

EID: 34247887626     PISSN: 00063495     EISSN: None     Source Type: Journal    
DOI: 10.1529/biophysj.106.094508     Document Type: Article

References (19)

1. + T cell responses during and after acute lymphocytic choriomeningitis virus infection. J. Immunol. 171:3928-3935.
2. Perelson, A., D. Kirschner, and R. De Boer. 1993. Dynamics of HIV infection of CD4+ T cells. Math. Biosci. 114:81-125.
3. Bonhoeffer, S., G. Funk, H. Gunthard, M. Fischer, and V. Muller. 2003. Glancing behind virus load variation in HIV-1 infection. Trends Microbiol. 11:499-504.
4. Nowak, M., and R. May. 2000. Virus Dynamics Mathematical Principles of Immunology and Virology. Oxford University Press, Oxford, UK.
5. Gardiner, C. W. 1985. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2nd Ed. Springer-Verlag, New York.
6. Jazwinsky, A. 1970. Stochastic Processes and Filtering Theory. Academic Press, London, UK.
7. Kurtz, T. 1970. Solutions of ordinary differential equations as limits of pure jump Markov processes. J. Appl. Prob. 7:49-58.
8. van Kampen, N. G. 1992. Stochastic Processes in Physics and Chemistry. North-Holland Publishing, Amsterdam, The Netherlands.
9. Gillespie, D. 2002. The chemical Langevin and Fokker-Planck equations for the reversible isomerization reaction. J. Phys.Chem.A. 106:5063-5071.
10. Chao, D., M. Davenport, S. Forrest, and A. Perelson. 2004. A stochastic model of cytotoxic T cell responses. J. Theor. Biol. 228:227-240.
11. McKane, A., and T. Newman. 2004. Stochastic models in population biology and their deterministic analogs. Phys. Review E. 70:041902.
12. Newman, T., and R. Grima. 2004. Many-body theory of chemotactic cell-cell interactions. Phys. Review E 70, Art. No. 051916.
13. Turner, T., S. Schnell, and K. Burrage. 2004. Stochastic approaches for modelling in vivo reactions. Comput. Biol. Chem. 28:165-178.
14. + T-cell memory. Nat. Med. 7:913-919.
15. Blattman, J., R. Antia, D. Sourdive, X. Wang, S. Kaech, K. Murali-Krishna, J. Altman, and R. Ahmed. 2002. Estimating the precursor frequency of naive antigen-specific CD8 T cells. J. Exp. Med. 195:657-664.
16. Efron, B., and R. Tibshirani. 1986. Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Stat. Sci. 1:54-77.
17. Gillespie, D. 1977. Exact stochastic simulation of coupled chemical reactions. J. Phys. Chem. 81:2340-2361.
18. Gillespie, D. 2001. Approximate accelerated stochastic simulation of chemically reacting systems. J. Chem. Phys. 115:1716-1733.
19. Gillespie, D. 2000. The chemical Langevin equation. J. Chem. Phys. 113:297-306.