| Title: |
Existence and Dynamics of Strains in a Nonlocal Reaction-Diffusion Model of Viral Evolution |
| Authors: |
Bessonov, Nikolai; Bocharov, Gennady; Meyerhans, Andreas; Popov, Vladimir; Volpert, Vitaly |
| Contributors: |
Institute of Mechanical Engineering Problems St. Petersburg (IPME); Russian Academy of Sciences Moscow (RAS); Institute of Numerical Mathematics Moscou (INM-RAS); Institució Catalana de Recerca i Estudis Avançats = Catalan Institution for Research and Advanced Studies (ICREA); 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); The work of the first, second, third, and fifth authors was supported by the RussianScience Foundation through grant 18-11-00171. The work of the fourth and fifth authors was partially supported by the RUDN University Strategic Academic Leadership Program. The work of thesecond author was partially supported by Moscow Center for Fundamental and Applied Mathematics, agreement with the Ministry of Education and Science of the Russian Federation 075-15-2019-1624. The work of the third author was supported by a grant from the Spanish Ministry of Economy, Industry, and Competitiveness and FEDER grant SAF2016-75505-R (AEI/MINEICO/FEDER, UE) and by the Maria de Maeztu Programme for Units of Excellence in R&D (MDM-2014-0370). |
| Source: |
ISSN: 0036-1399 ; SIAM Journal on Applied Mathematics ; https://hal.science/hal-03409170 ; SIAM Journal on Applied Mathematics, 2021, 81, pp.107-128. ⟨10.1137/19m1282234⟩. |
| Publisher Information: |
CCSD; Society for Industrial and Applied Mathematics |
| Publication Year: |
2021 |
| Collection: |
Université Jean Monnet – Saint-Etienne: HAL |
| Subject Terms: |
virus density distribution; genotype; virus infection; immune response; resistance to treatment; nonlocal interaction AMS subject classification. 35K57; [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] |
| Description: |
International audience ; In this work, we develop a mathematical framework for predicting and quantifying virus diversity evolution during infection of a host organism. It is specified as a virus density distribution with respect to genotype and time governed by a reaction-diffusion integro-differential equation taking virus mutations, replication, and elimination by immune cells and medical treatment into account. Conditions for the existence of virus strains that correspond to localized density distributions in the space of genotypes are determined. It is shown that common viral evolutionary traits like diversification and extinction are driven by nonlocal interactions via immune responses, target-cell competition, and therapy. This provides us with a mechanistic explanation for clinically relevant properties like immune escape and drug resistance selection, and allows us to link virus genotypes to phenotypes. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1137/19m1282234 |
| Availability: |
https://hal.science/hal-03409170; https://hal.science/hal-03409170v1/document; https://hal.science/hal-03409170v1/file/siam-2021.pdf; https://doi.org/10.1137/19m1282234 |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.2F68685 |
| Database: |
BASE |