| Title: |
Space and Genotype-Dependent Virus Distribution during Infection Progression |
| Authors: |
Bessonov, Nicholas; Bocharov, Gennady; Volpert, Vitaly |
| Contributors: |
Institute for Problems of Mechanical Engineering (IPME RAS); Russian Academy of Sciences Moscow (RAS); Institute of Numerical Mathematics Moscou (INM-RAS); Sechenov First Moscow State Medical University; Université russe de l'amitié des peuples = People's Friendship University of Russia = Rossijskij universitet družby narodov Moscou (RUDN); Modélisation multi-échelle des dynamiques cellulaires : application à l'hématopoïese (DRACULA); 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)-École Centrale de Lyon (ECL); 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); 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) |
| Source: |
ISSN: 2227-7390 ; Mathematics ; https://hal.science/hal-04134233 ; Mathematics , 2022, 10 (1), pp.96. ⟨10.3390/math10010096⟩. |
| Publisher Information: |
CCSD; MDPI |
| Publication Year: |
2022 |
| Collection: |
Université Jean Monnet – Saint-Etienne: HAL |
| Subject Terms: |
Genotype; Infection progression; Nonlocal interaction; Virus density distribution; Wave propagation; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]; [SDV.MHEP.MI]Life Sciences [q-bio]/Human health and pathology/Infectious diseases; [SDV.MP.VIR]Life Sciences [q-bio]/Microbiology and Parasitology/Virology |
| Description: |
International audience ; The paper is devoted to a nonlocal reaction-diffusion equation describing the development of viral infection in tissue, taking into account virus distribution in the space of genotypes, the antiviral immune response, and natural genotype-dependent virus death. It is shown that infection propagates as a reaction-diffusion wave. In some particular cases, the 2D problem can be reduced to a 1D problem by separation of variables, allowing for proof of wave existence and stability. In general, this reduction provides an approximation of the 2D problem by a 1D problem. The analysis of the reduced problem allows us to determine how viral load and virulence depend on genotype distribution, the strength of the immune response, and the level of immunity. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.3390/math10010096 |
| Availability: |
https://hal.science/hal-04134233; https://hal.science/hal-04134233v1/document; https://hal.science/hal-04134233v1/file/mathematics-10-00096-v2.pdf; https://doi.org/10.3390/math10010096 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.6985BFB5 |
| Database: |
BASE |