Stochastic resetting antiviral therapies prevents drug resistance development
Statistical Mechanics
2021-02-03 v1 Biological Physics
Medical Physics
Abstract
We study minimal mean-field models of viral drug resistance development in which the efficacy of a therapy is described by a one-dimensional stochastic resetting process with mixed reflecting-absorbing boundary conditions. We derive analytical expressions for the mean survival time for the virus to develop complete resistance to the drug. We show that the optimal therapy resetting rates that achieve a minimum and maximum mean survival times undergo a second and first-order phase transition-like behaviour as a function of the therapy efficacy drift. We illustrate our results with simulations of a population-dynamics model of HIV-1 infection.
Keywords
Cite
@article{arxiv.2009.06686,
title = {Stochastic resetting antiviral therapies prevents drug resistance development},
author = {Angelo Marco Ramoso and Juan Antonio Magalang and Daniel Sánchez-Taltavull and Jose Perico Esguerra and Édgar Roldán},
journal= {arXiv preprint arXiv:2009.06686},
year = {2021}
}
Comments
9 pages, 5 figures