Volume 132, Number 5, December 2020
|Number of page(s)||6|
|Published online||30 December 2020|
Stochastic resetting antiviral therapies prevent drug resistance development
1 Theoretical Physics Group, National Institute of Physics, University of the Philippines - Diliman, Quezon City 1101, Philippines
2 Visceral Surgery and Medicine, Inselspital, Bern University Hospital, Department for Biomedical Research, University of Bern - Murtenstrasse 35, 3008 Bern, Switzerland
3 ICTP - The Abdus Salam International Centre for Theoretical Physics - Strada Costiera 11, 34151, Trieste, Italy
Received: 18 September 2020
Accepted: 18 November 2020
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.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 87.16.-b – Subcellular structure and processes
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