| Title: |
Infection spreading in cell culture as a reaction-diffusion wave |
| Authors: |
Ait Mahiout, Latifa; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly |
| Contributors: |
Laboratoire d'équations aux dérivées partielles non linéaires et histoire des mathématiques Alger; École normale supérieure - Kouba-Alger (ENS Kouba-Alger); Institute of Mechanical Engineering Problems St. Petersburg (IPME); Russian Academy of Sciences Moscow (RAS); Institute of Fundamental Technological Research (IPPT); Polska Akademia Nauk = Polish Academy of Sciences = Académie polonaise des sciences (PAN); Laboratoire de Mathématiques Raphaël Salem (LMRS); Université de Rouen Normandie (UNIROUEN); Normandie Université (NU)-Normandie Université (NU)-Centre National de la Recherche Scientifique (CNRS); Institut Camille Jordan (ICJ); École Centrale de Lyon (ECL); Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS); Université russe de l'amitié des peuples = People's Friendship University of Russia = Rossijskij universitet družby narodov Moscou (RUDN); Modélisation mathématique, calcul scientifique (MMCS); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL); Modélisation multi-échelle des dynamiques cellulaires : application à l'hématopoïese (DRACULA); Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-Laboratoire de biologie et modélisation de la cellule (LBMC UMR 5239); École normale supérieure de Lyon (ENS de Lyon); Université de Lyon-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-École normale supérieure de Lyon (ENS de Lyon); Université de Lyon-Institut National de la Santé et de la Recherche Médicale (INSERM)-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de Lyon; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria) |
| Source: |
ISSN: 2822-7840 ; EISSN: 2804-7214. |
| Publisher Information: |
CCSD; Société de Mathématiques Appliquées et Industrielles (SMAI) / EDP |
| Publication Year: |
2022 |
| Collection: |
HAL Lyon 1 (University Claude Bernard Lyon 1) |
| Subject Terms: |
Viral infection; cell culture; reaction-diffusion equations; time delay; [MATH]Mathematics [math] |
| Description: |
International audience ; Infection spreading in cell culture occurs due to virus replication in infected cells and its random motion in the extracellular space. Multiplicity of infection experiments in cell cultures are conventionally used for the characterization of viral infection by the number of viral plaques and the rate of their growth. We describe this process with a delay reaction-diffusion system of equations for the concentrations of uninfected cells, infected cells, virus, and interferon. Time delay corresponds to the duration of viral replication inside infected cells. We show that infection propagates in cell culture as a reaction-diffusion wave, we determine the wave speed and prove its existence. Next, we carry out numerical simulations and identify three stages of infection progression: infection decay during time delay due to virus replication, explosive growth of viral load when infected cells begin to reproduce it, and finally, wave-like infection progression in cell culture characterized by a constant or slowly growing total viral load. The modelling results are in agreement with the experimental data for the coronavirus infection in a culture of epithelial cells and for some other experiments. The presence of interferon produced by infected cells decreases the viral load but does not change the speed of infection progression in cell culture. In the 2D modelling, the total viral load grows faster than in the 1D case due to the increase of plaque perimeter. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1051/m2an/2022019 |
| Availability: |
https://hal.science/hal-03651662; https://hal.science/hal-03651662v1/document; https://hal.science/hal-03651662v1/file/m2an210092.pdf; https://doi.org/10.1051/m2an/2022019 |
| Rights: |
https://about.hal.science/hal-authorisation-v1/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.BCE32FCD |
| Database: |
BASE |