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

ABSTRACT:

Background

Mathematical 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.

Results

In 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 conditio

SUBMITTER: Byun JH 

PROVIDER: S-EPMC12548291 | biostudies-literature | 2025 Oct

REPOSITORIES: biostudies-literature