BibTex RIS Kaynak Göster

Hyperbolic Reaction-Diffusion Model for Virus Infections

Yıl 2008, Cilt: 11 Sayı: 1, 35 - 38, 01.03.2008

Öz

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.

Kaynakça

  • 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
Yıl 2008, Cilt: 11 Sayı: 1, 35 - 38, 01.03.2008

Öz

Kaynakça

  • 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
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Regular Original Research Article
Yazarlar

Vicenç Méndez Bu kişi benim

José Casas-vázquez Bu kişi benim

Yayımlanma Tarihi 1 Mart 2008
Yayımlandığı Sayı Yıl 2008 Cilt: 11 Sayı: 1

Kaynak Göster

APA Méndez, V., & Casas-vázquez, J. (2008). Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics, 11(1), 35-38.
AMA Méndez V, Casas-vázquez J. Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics. Mart 2008;11(1):35-38.
Chicago Méndez, Vicenç, ve José Casas-vázquez. “Hyperbolic Reaction-Diffusion Model for Virus Infections”. International Journal of Thermodynamics 11, sy. 1 (Mart 2008): 35-38.
EndNote Méndez V, Casas-vázquez J (01 Mart 2008) Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics 11 1 35–38.
IEEE V. Méndez ve J. Casas-vázquez, “Hyperbolic Reaction-Diffusion Model for Virus Infections”, International Journal of Thermodynamics, c. 11, sy. 1, ss. 35–38, 2008.
ISNAD Méndez, Vicenç - Casas-vázquez, José. “Hyperbolic Reaction-Diffusion Model for Virus Infections”. International Journal of Thermodynamics 11/1 (Mart 2008), 35-38.
JAMA Méndez V, Casas-vázquez J. Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics. 2008;11:35–38.
MLA Méndez, Vicenç ve José Casas-vázquez. “Hyperbolic Reaction-Diffusion Model for Virus Infections”. International Journal of Thermodynamics, c. 11, sy. 1, 2008, ss. 35-38.
Vancouver Méndez V, Casas-vázquez J. Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics. 2008;11(1):35-8.