Viral Infection Spreading and Mutation in Cell Culture
Abstract
:1. Introduction
- Virus concentration decay during time delay in its replication in cells;
- Explosive growth of concentration, when infected cells begin to reproduce new viruses;
- Propagation of infection wave along the cell culture.
2. Infection Progression with Single Virus
2.1. Virus Replication Number and Final Size of Infection
2.1.1. Virus Replication Number
2.1.2. Final Concentrations of Cells and Total Viral Load
2.1.3. Model with Time Delay
2.2. Spatial Infection Spreading
2.2.1. Wave Propagation
2.2.2. Model with Time Delay
2.2.3. Minimal Wave Speed
2.2.4. Wave Existence
3. Viral Infection with Mutation
3.1. Reduction to the One-Virus Model
Choice between Three Solutions
3.2. Method of Linearization
3.3. Multiple Mutations and Coinfections
4. Different Stages of Infection Progression
4.1. Single Virus
4.2. Virus Mutation and Competition
4.3. Values of Parameters
5. Discussion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
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Ait Mahiout, L.; Kazmierczak, B.; Volpert, V. Viral Infection Spreading and Mutation in Cell Culture. Mathematics 2022, 10, 256. https://doi.org/10.3390/math10020256
Ait Mahiout L, Kazmierczak B, Volpert V. Viral Infection Spreading and Mutation in Cell Culture. Mathematics. 2022; 10(2):256. https://doi.org/10.3390/math10020256
Chicago/Turabian StyleAit Mahiout, Latifa, Bogdan Kazmierczak, and Vitaly Volpert. 2022. "Viral Infection Spreading and Mutation in Cell Culture" Mathematics 10, no. 2: 256. https://doi.org/10.3390/math10020256
APA StyleAit Mahiout, L., Kazmierczak, B., & Volpert, V. (2022). Viral Infection Spreading and Mutation in Cell Culture. Mathematics, 10(2), 256. https://doi.org/10.3390/math10020256