Bessonov, N.; Bocharov, G.; Meyerhans, A.; Popov, V.; Volpert, V. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics2020, 8, 117.
Bessonov, N.; Bocharov, G.; Meyerhans, A.; Popov, V.; Volpert, V. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics 2020, 8, 117.
Bessonov, N.; Bocharov, G.; Meyerhans, A.; Popov, V.; Volpert, V. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics2020, 8, 117.
Bessonov, N.; Bocharov, G.; Meyerhans, A.; Popov, V.; Volpert, V. Nonlocal Reaction–Diffusion Model of Viral Evolution: Emergence of Virus Strains. Mathematics 2020, 8, 117.
Abstract
The work is devoted to the investigation of virus quasispecies 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 as 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.
Keywords
virus density distribution; genotype; virus infection; immune response; resistance to treatment; nonlocal interaction; quasispecies diversification
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
