Space and Genotype-Dependent Virus Distribution during Infection Progression

Bessonov, Nikolai; Bocharov, Gennady; Volpert, Vitaly

doi:10.3390/math10010096

Cited by 4 publications

(4 citation statements)

References 42 publications

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“…rate exceeds the death rate, the viral load grows providing infection progression. Both processes can depend on the virus genotype leading to the emergence and competition of virus quasi-species (17)(18)(19)(20). As such, the behavior of SARS-CoV-2 quasi-species shows complex dynamics depending on time and the anatomical site (21).…”

Section: Modeling Of the Emergence Of New Variantsmentioning

confidence: 99%

Emergence and competition of virus variants in respiratory viral infections

et al. 2023

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The emergence of new variants of concern (VOCs) of the SARS-CoV-2 infection is one of the main factors of epidemic progression. Their development can be characterized by three critical stages: virus mutation leading to the appearance of new viable variants; the competition of different variants leading to the production of a sufficiently large number of copies; and infection transmission between individuals and its spreading in the population. The first two stages take place at the individual level (infected individual), while the third one takes place at the population level with possible competition between different variants. This work is devoted to the mathematical modeling of the first two stages of this process: the emergence of new variants and their progression in the epithelial tissue with a possible competition between them. The emergence of new virus variants is modeled with non-local reaction–diffusion equations describing virus evolution and immune escape in the space of genotypes. The conditions of the emergence of new virus variants are determined by the mutation rate, the cross-reactivity of the immune response, and the rates of virus replication and death. Once different variants emerge, they spread in the infected tissue with a certain speed and viral load that can be determined through the parameters of the model. The competition of different variants for uninfected cells leads to the emergence of a single dominant variant and the elimination of the others due to competitive exclusion. The dominant variant is the one with the maximal individual spreading speed. Thus, the emergence of new variants at the individual level is determined by the immune escape and by the virus spreading speed in the infected tissue.

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Section: Modeling Of the Emergence Of New Variantsmentioning

confidence: 99%

Emergence and competition of virus variants in respiratory viral infections

et al. 2023

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“…Another approach is to analyze the influence of virus-induced immune damage on the potential development of non-viral pathology. While the influence of HIV and SARS-CoV-2 on immune function continues to attract researchers' attention [16,17], other viruses, such as herpesviruses, hepatitis C, influenza A, lymphocytic choriomeningitis virus and some others, have been studied for several years in terms of their impact on the immune response to infections [18][19][20][21][22]. An important field of research includes studies aimed at modeling the dynamics of viral copy spread in the host's body [23].…”

Section: Editorialmentioning

confidence: 99%

Current Perspectives in Antiviral Research

Tarasova

2023

IJMS

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“…Parameter estimation for different variants of the SARS‐CoV‐2 infection allows the assessment of their virulence and infectivity in agreement with the experimental, clinical and epidemiological data 13 . The basic model of infection spreading 9,10 was further developed to study the influence of immune response, 15 virus mutation and competition, 16 intracellular regulation of virus replication 17,18 …”

Section: Introductionmentioning

confidence: 99%

“…13 The basic model of infection spreading 9,10 was further developed to study the influence of immune response, 15 virus mutation and competition, 16 intracellular regulation of virus replication. 17,18 Infection spreads in the respiratory tract from sinonasal epithelium towards alveoli. 19 This infection spreading was modeled in 20 taking into account local mucus motion in the scale of a single bronchiole.…”

Section: Introductionmentioning

confidence: 99%

Airway obstruction in respiratory viral infections due to impaired mucociliary clearance

Bessonov

Volpert

2023

Numer Methods Biomed Eng

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Respiratory viral infections, such as SARS‐CoV‐2 or influenza, can lead to impaired mucociliary clearance in the bronchial tree due to increased mucus viscosity and its hyper‐secretion. We develop in this work a mathematical model to study the interplay between viral infection and mucus motion. The results of numerical simulations show that infection progression can be characterized by three main stages. At the first stage, infection spreads through the most part of mucus producing airways (about 90% of the length) without significant changes in mucus velocity and thickness layer. During the second stage, when it passes through the remaining generations, mucus viscosity increases, its velocity drops down, and it forms a plug. At the last stage, the thickness of the mucus layer gradually increases because mucus is still produced but not removed by the flow. After some time, the thickness of the mucus layer in the small airways becomes comparable with their diameter leading to their complete obstruction.

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Space and Genotype-Dependent Virus Distribution during Infection Progression

Cited by 4 publications

References 42 publications

Emergence and competition of virus variants in respiratory viral infections

Emergence and competition of virus variants in respiratory viral infections

Current Perspectives in Antiviral Research

Airway obstruction in respiratory viral infections due to impaired mucociliary clearance

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