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. 2025 Jan:379:109339.
doi: 10.1016/j.mbs.2024.109339. Epub 2024 Nov 20.

A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-2

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A theory for viral rebound after antiviral treatment: A study case for SARS-CoV-2

Mara Perez et al. Math Biosci. 2025 Jan.

Abstract

A fraction of individuals infected with SARS-CoV-2 experienced rebounds when treated with effective antivirals such as Nirmatrelvir/Ritonavir (Paxlovid). Although this phenomenon has been studied from biological and statistical perspectives, the underlying dynamical mechanism is not yet fully understood. In this work, we characterize the dynamic behavior of a target-cell model to explain post-treatment rebounds from the perspective of set-theoretic stability analysis. Without relying on the effects of the adaptive immune system or the resistance through viral mutations, we develop mathematical conditions for antiviral treatments to avoid viral rebound. Simulation results illustrate the critical role of dosage (i.e., the doses and timing of administration) in taking advantage of highly effective drugs and tailoring therapies.

Keywords: Antiviral treatment; In-host infection; Rebound threshold; Viral rebound.

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Conflict of interest statement

Declaration of competing interest The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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