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Approximate solution to the speed of spreading viruses
Vicente Ortega-Cejas1, Joaquim Fort, Vicenç Méndez
1Departamento de Física, Universitat Autònoma de Barcelona, 08193 Bellaterrra, Spain. vicente.ortega@uab.es
Summary
This study provides analytical formulas for virus infection speed, explaining it using time-delayed reaction-diffusion models. Numerical integration confirms these formulas, aligning with experimental observations.
Area of Science:
- Mathematical Biology
- Physics
Background:
- Virus infection spread can be modeled using reaction-diffusion equations.
- Previous work suggested time-delayed reaction-diffusion explains infection speed, but lacked analytical solutions.
Purpose of the Study:
- To derive analytical formulas for the front speed of virus infections.
- To validate these formulas through numerical integration and comparison with experimental data.
Main Methods:
- Derivation of analytical formulas for front speed in time-delayed reaction-diffusion systems.
- Numerical integration of the system's evolution equations.
- Comparison of derived formulas and numerical results with experimental speeds.
Main Results:
- Analytical formulas for virus infection front speed were successfully derived.
- Numerical integration showed good agreement with the derived formulas.
- The model's predictions align well with experimental virus speeds.
Conclusions:
- The derived analytical formulas accurately describe virus infection speed within specific limits.
- Time-delayed reaction-diffusion models provide a robust framework for understanding viral spread dynamics.
- This work bridges theoretical modeling with empirical validation in virology.