A mathematical model describing the thermal virus inactivation

Area of Science:

• Virology
• Mathematical Modeling
• Vaccine Development

Background:

• Viral inactivation is crucial for vaccine stability and efficacy.
• Understanding temperature-dependent inactivation kinetics is essential for formulation optimization.
• Existing models may lack simplicity or broad applicability.

Purpose of the Study:

• To develop a simple and convenient mathematical model for viral inactivation at varying temperatures.
• To describe the exponential decay of viral titer and its temperature-dependent inactivation rate.
• To apply the model for comparing accelerated degradation of oral poliovirus vaccine (OPV) formulations.

Main Methods:

• Proposed a mathematical model incorporating exponential viral titer decrease over time.
• Modeled the inactivation rate as an exponential function of temperature.
• Utilized one-step non-linear regression to fit experimental data for oral poliovirus vaccine (OPV).

Main Results:

• The model accurately describes viral inactivation kinetics as a function of temperature.
• Experimental data for OPV demonstrated the model's applicability.
• The model facilitates comparison of accelerated degradation tests for different OPV formulations.

Conclusions:

• The proposed mathematical model is a simple and effective tool for studying viral inactivation.
• It provides a valuable method for optimizing live viral vaccine formulations.
• The model aids in assessing the stability and degradation of vaccine products under various temperature conditions.