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Homogenization of a reaction diffusion equation can explain influenza A virus load data.
Baabdulla, Arwa Abdulla; Now, Hesung; Park, Ju An; Kim, Woo-Jong; Jung, Sungjune; Yoo, Joo-Yeon; Hillen, Thomas.
Afiliación
  • Baabdulla AA; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada. Electronic address: baabdull@ualberta.ca.
  • Now H; Department of Life Sciences, Pohang University of Science and Technology, Pohang, Republic of Korea.
  • Park JA; Department of Materials Science and Engineering, Pohang University of Science and Technology, Pohang, Republic of Korea.
  • Kim WJ; Department of Life Sciences, Pohang University of Science and Technology, Pohang, Republic of Korea.
  • Jung S; Department of Materials Science and Engineering, Pohang University of Science and Technology, Pohang, Republic of Korea; School of Interdisciplinary Bioscience and Bioengineering, Pohang University of Science and Technology, Pohang, Republic of Korea.
  • Yoo JY; Department of Life Sciences, Pohang University of Science and Technology, Pohang, Republic of Korea.
  • Hillen T; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada. Electronic address: thillen@ualberta.ca.
J Theor Biol ; 527: 110816, 2021 10 21.
Article en En | MEDLINE | ID: mdl-34161792
We study the influence of spatial heterogeneity on the antiviral activity of mouse embryonic fibroblasts (MEF) infected with influenza A. MEF of type Ube1L-/- are composed of two distinct sub-populations, the strong type that sustains a strong viral infection and the weak type, sustaining a weak viral load. We present new data on the virus load infection of Ube1L-/-, which have been micro-printed in a checker board pattern of different sizes of the inner squares. Surprisingly, the total viral load at one day after inoculation significantly depends on the sizes of the inner squares. We explain this observation by using a reaction diffusion model and we show that mathematical homogenization can explain the observed inhomogeneities. If the individual patches are large, then the growth rate and the carrying capacity will be the arithmetic means of the patches. For finer and finer patches the average growth rate is still the arithmetic mean, however, the carrying capacity uses the harmonic mean. While fitting the PDE to the experimental data, we also predict that a discrepancy in virus load would be unobservable after only half a day. Furthermore, we predict the viral load in different inner squares that had not been measured in our experiment and the travelling distance the virions can reach after one day.
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Texto completo: 1 Base de datos: MEDLINE Asunto principal: Virus de la Influenza A / Gripe Humana Tipo de estudio: Prognostic_studies Límite: Animals / Humans Idioma: En Revista: J Theor Biol Año: 2021 Tipo del documento: Article

Texto completo: 1 Base de datos: MEDLINE Asunto principal: Virus de la Influenza A / Gripe Humana Tipo de estudio: Prognostic_studies Límite: Animals / Humans Idioma: En Revista: J Theor Biol Año: 2021 Tipo del documento: Article