Enhancing viral dynamics modeling: reliable initial estimation and validity conditions for quasi-steady state approximation (QSSA).

backgroundMathematical models are essential for understanding viral dynamics, with the basic viral model widely used to describe infection kinetics. Quasi-steady-state approximation (QSSA) is often applied to improve computational efficiency and simplify the system. However, the existing viral QSSA model incorrectly assumes that infected cells evolve on the same fast timescale as the virus, leading to biologically invalid simplifications.

resultsIn this study, we resolved this issue by developing a revised QSSA viral model that correctly accounts for timescale separation and prevents the erroneous loss of infected cell initial values during model reduction. We introduce a mathematical method to estimate the initial condition of infected cells and define a validity condition (

conclusionsThis work resolves a key flaw in existing QSSA models, enabling more accurate and consistent modeling of viral dynamics. By correcting the infected cell loss issue, our findings provide a robust framework for virological applications, particularly useful when experimental data are limited.