Dergiler / International Journal of Thermodynamics / 2008 / Cilt: 11 - Sayı: 1

Hyperbolic Reaction-Diffusion Model for Virus Infections

Sayfa
35–38
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

However, this agreement does not exist when random walks are Markovian and the resulting reaction-diffusion equations are of parabolic type.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:We propose a reaction-diffusion model to study the front propagation of viruses growing in a bacterial colony.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:However, this agreement does not exist when random walks are Markovian and the resulting reaction-diffusion equations are of parabolic type.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:reaction-diffusion · front propagation · time-delay

Abstract

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.

🔖

Bu Makaleye Atıf Yap

MENDEZ, V., CASAS-VAZQUEZ, J. (2022). Hyperbolic Reaction-Diffusion Model for Virus Infections. International Journal of Thermodynamics, Cilt: 11 - Sayı: 1, 35–38. https://ajindex.com/articles/541967

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (8)

  1. Ackermann, H. W., 1976, “Classification of Tailed Enterobacteria Phages,” Path. Biol. Vol. 24, Issue 5, p. 359-370.
  2. 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.
  3. 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.
  4. Fort, J. and Méndez, V., 2002b, “Time-delayed Spread of Viruses in Growing Plaques” Phys. Rev. Lett. Vol. 89, pp. 178101/1-4.
  5. Jou, D., Casas-Vázquez, J. and Lebon, G. Ex- tended Irreversible Thermodynamics, (3rd ed., Springer, Berlin, 2001).
  6. 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.
  7. 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.
  8. 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