| Title: |
Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains |
| Authors: |
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly |
| Contributors: |
Institute for Problems of Mechanical Engineering (IPME RAS); Russian Academy of Sciences Moscow (RAS); Université russe de l'amitié des peuples = People's Friendship University of Russia = Rossijskij universitet družby narodov Moscou (RUDN); 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); Multi-scale modelling of cell dynamics : application to hematopoiesis (DRACULA); Centre de génétique et de physiologie moléculaire et cellulaire (CGPhiMC); Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS)-Centre Inria de l'Université Grenoble Alpes; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Camille Jordan (ICJ); 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 mathématique, calcul scientifique (MMCS) |
| Source: |
ISSN: 2227-7390 ; Mathematics ; https://hal.science/hal-03029316 ; Mathematics , 2020, 8 (1), pp.1-20. ⟨10.3390/math8010117⟩. |
| Publisher Information: |
CCSD; MDPI |
| Publication Year: |
2020 |
| Collection: |
HAL Lyon 1 (University Claude Bernard Lyon 1) |
| Subject Terms: |
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| Description: |
International audience ; This work is devoted to the investigation of virus quasi-species evolution and diversification due to mutations, competition for host cells, and cross-reactive immune responses. The model consists of a nonlocal reaction–diffusion equation for the virus density depending on the genotype considered to be a continuous variable and on time. This equation contains two integral terms corresponding to the nonlocal effects of virus interaction with host cells and with immune cells. In the model, a virus strain is represented by a localized solution concentrated around some given genotype. Emergence of new strains corresponds to a periodic wave propagating in the space of genotypes. The conditions of appearance of such waves and their dynamics are described. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.3390/math8010117 |
| Availability: |
https://hal.science/hal-03029316; https://hal.science/hal-03029316v1/document; https://hal.science/hal-03029316v1/file/mathematics-08-00117-v3.pdf; https://doi.org/10.3390/math8010117 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.14685BC |
| Database: |
BASE |