Hyperbolic Reaction-Diffusion Model for Virus Infections
We propose a reaction-diffusion model to study the front propagation of viruses growing in a bacterial colony. From a mesoscopic description we consider that viruses spread according to non-Markovian random walks and thus we obtain a set of hyperbolic reaction-diffusion equations of three components. There is an excellent agreement between our predictions and experimental results. However, this agreement does not exist when random walks are Markovian and the resulting reaction-diffusion equations are of parabolic type.
Keywords:
reaction-diffusion front propagation, time-delay,
___
- Ackermann, H. W., 1976, “Classification of Tailed Enterobacteria Phages,” Path. Biol. Vol. 24, Issue 5, p. 359-370.
- Fedotov, S. and Méndez, V., 2002, “Continuous- time Random Walks and Travelling Fronts”, Phys. Rev. E, Vol. 66, pp. 030102/1-4 (R).
- Fedotov, S. and Iomin, A., 2007, “Migration and Proliferation Dichotomy in Tumor-cell Invasion”, Phys. Rev. Lett., Vol. 98, pp. 118101/1-4.
- Fort, J. and Méndez, V., 2002a, “Wavefronts in Time-delayed Reaction-diffusion Systems. The- ory and Comparison to Experiment”, Rep. Prog. Phys., Vol. 65, pp. 895-954.
- Fort, J. and Méndez, V., 2002b, “Time-delayed Spread of Viruses in Growing Plaques” Phys. Rev. Lett. Vol. 89, pp. 178101/1-4.
- Jou, D., Casas-Vázquez, J. and Lebon, G. Ex- tended Irreversible Thermodynamics, (3rd ed., Springer, Berlin, 2001).
- Ortega-Cejas, V., Fort, J. and Méndez, V., 2004, “The Role of the Delay Time in the Modelling of Biological Range”, Ecology, Vol. 85, pp. 258-264. Shishido, K., Watarai, A., Naito, S. and Ando, T., 1975, “Action of Bleomycin on the Bacteriophage T7 Infection” J. Antibiot. (Tokyo), Vol. 28, pp. 676-680.
- Yin, J. and McCaskill, J. S., 1992, “Replication of Viruses in a Growing Plaque: A Reaction- Diffusion Model”, Biophys. J., Vol. 61, pp. 1540- 1549.
- Yin, J., 1993, “Evolution of Bacteriophage T7 in a Growing Plaque”, J. Bacteriol. Vol. 175, pp. 1272-1277
- ISSN: 1301-9724
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 1998
- Yayıncı: -
Sayıdaki Diğer Makaleler
Peter GALENKO, Vladimir LEBEDEV
Carlos GIRALDO, Daniel EHLERS, Lothar OELLRICH, Matthew CLARKE