Infection propagation in a tissue with resident macrophages.

Area of Science:

• Virology
• Immunology
• Mathematical Biology

Background:

• Viral infection progression involves pathogen-host immune system dynamics.
• Innate immune responses, driven by cytokines and interferons, combat viral spread.
• Inflammation can induce cell death, limiting infection propagation.

Purpose of the Study:

• To model viral infection spread as a reaction-diffusion wave.
• To investigate the impact of inflammation on infection dynamics.
• To determine conditions for halting viral propagation.

Main Methods:

• Analytical mathematical modeling of reaction-diffusion waves.
• Numerical simulations to corroborate analytical findings.
• Comparison of parabolic and hyperbolic viral diffusion models.

Main Results:

• Inflammation reduces both the speed and viral load of infection waves.
• Three infection outcomes are predicted based on viral replication number and immune response strength.
• Hyperbolic diffusion model shows reduced wave speed compared to parabolic model.

Conclusions:

• Inflammation is a critical factor in controlling viral infection spread.
• Understanding the interplay between viral replication and immune response is key to predicting infection outcomes.
• The choice of diffusion model impacts wave speed but not overall viral load.