A model for coupling within-host and between-host dynamics in an infectious disease

Nonlinear Dynamics

Volumn 68, Issue 3, 2012, Pages 401-411

  Feng, Zhilan ^a   Velasco Hernandez, Jorge ^b   Tapia Santos, Brenda ^c   Leite, Maria Conceição A ^d  

^a PURDUE UNIVERSITY   (United States)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^c UNIVERSIDAD VERACRUZANA   (Mexico)

^d UNIVERSITY OF OKLAHOMA   (United States)

Author keywords

Disease persistence; Early viremia; Multiparameter bifurcation; Multistability

Indexed keywords

CELL LEVELS; COMPLEX DYNAMICS; COUPLED DYNAMICS; COUPLED SYSTEMS; DYNAMIC PROCESS; EARLY VIREMIA; EPIDEMIC PROCESS; INFECTIOUS DISEASE; MULTIPARAMETERS; MULTISTABILITY; NEW MODEL; POPULATION LEVELS;

MECHANICAL ENGINEERING;

DYNAMICS;

EID: 84863008434     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-011-0291-0     Document Type: Article

References (16)

1. Anderson, R.M., May, R.M.: Infectious Diseases of Humans. Oxford University Press, Oxford (1991)
2. Callaway, D., Perelson, A.: HIV-1 infection and low steady state viral loads. Bull. Math. Biol. 64, 29-64 (2002)
3. Coombs, D., Gilchrist, M.A., Ball, C.L.: Evaluating the importance of within- and between-host selection pressures on the evolution of chronic pathogens. Theor. Popul. Biol. 72, 576-591 (2007) (Pubitemid 47615112)
4. De Boer, R.J., Perelson, A.S.: Target cell limited and immune control models of HIV infection: a comparison. J. Theor. Biol. 190, 201-214 (1998) (Pubitemid 28132653)
5. Dixit, N., Perelson, A.: Complex patterns of viral load decay under antiretroviral therapy: influence of pharmacokinetics and intracellular delay. J. Theor. Biol. 226, 95-109 (2004) (Pubitemid 37445213)
6. Fraser, C., Hollingsworth, T.D., Chapman, R., de Wolf, F., Hanage, W.P.: Variation in HIV set-point viral load: Epidemiological analysis and an evolutionary hypothesis. Proc. Natl. Acad. Sci. USA 104(44), 17441-17446 (2007) (Pubitemid 350219857)
7. Gilchrist, M.A., Coombs, D.: Evolution of virulence: interdependence, constrains, and selection using nested models. Theor. Popul. Biol. 69, 145-153 (2006) (Pubitemid 43143213)
8. Markowitz, M., Vesanen, M., Tenner-Racz, K., Cao, Y., Binley, J.M., Talai, A., et al.: A novel antiviral intervention results in more accurate assessment of human immunodeficiency virus type 1 replication dynamics and T-cell decay in vivo. J. Virol. 77, 5037-5038 (2003) (Pubitemid 36402857)
9. Nowak, M.A., May, R.M.: Mathematical biology of HIV infectious-antigenic variation and diversity threshold. Math. Biosci., 106, 1-21 (1991)
10. Nowak, M.A., May, R.M.: Virus Dynamics. Mathematical Principles of Immunology and Virology. Oxford University Press, Oxford (2000)
11. Perelson, A., Kirschner, D., De Boer, R.: The dynamics of HIV infection of CD4+ T cells. Math. Biosci. 114, 81-125 (1993)
12. Perelson, A., Nelson, P.W.:Mathematical analysis of HIV-1 dynamics in vivo. SIAM Rev. 41, 3-44 (1999) (Pubitemid 129723746)
13. Ramratnam, B., Bonhoeffer, S., Binley, J., Hurley, A., Zhang, L., Mittler, J.E., et al.: Rapid production and clearance of HIV-1 and hepatitis C virus assessed by large volume plasma apheresis. Lancet 354, 1782-1785 (1999)
14. Regoes, R.R., Wodarz, D., Nowak, M.A.: Virus Dynamics: the effect of target cell limitation and immune response on virus evolution. J. Theor. Biol. 191, 451-462 (1998) (Pubitemid 28239580)
15. Thieme, H.R.: Mathematics in Population Biology. Princeton Series in Theoretical and Computational Biology. Princeton University Press, Princeton (2003)
16. Wodarz, D.: Killer Cell Dynamics.Mathematical and Computational Approach to Immunology. Interdisciplinary Applied Mathematics, vol. 32. Springer, Berlin (2007)