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Title: Stochastic Model of Virus–Endosome Fusion and Endosomal Escape of pH-Responsive Nanoparticles
Authors: Fedotov, S.
Alexandrov, D.
Starodumov, I.
Korabel, N.
Issue Date: 2022
Publisher: MDPI
Citation: Stochastic Model of Virus–Endosome Fusion and Endosomal Escape of pH-Responsive Nanoparticles / S. Fedotov, D. Alexandrov, I. Starodumov et al. // Mathematics. — 2022. — Vol. 10. — Iss. 3. — 375.
Abstract: In this paper, we set up a stochastic model for the dynamics of active Rab5 and Rab7 proteins on the surface of endosomes and the acidification process that govern the virus–endosome fusion and endosomal escape of pH-responsive nanoparticles. We employ a well-known cut-off switch model for Rab5 to Rab7 conversion dynamics and consider two random terms: white Gaussian and Poisson noises with zero mean. We derive the governing equations for the joint probability density function for the endosomal pH, Rab5 and Rab7 proteins. We obtain numerically the marginal density describing random fluctuations of endosomal pH. We calculate the probability of having a pH level inside the endosome below a critical threshold and therefore the percentage of viruses and pH-responsive nanoparticles escaping endosomes. Our results are in good qualitative agreement with experimental data on viral escape. © 2022 by the authors. Licensee MDPI, Basel, Switzerland.
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85123541545
WOS ID: 000760568800001
PURE ID: 29560047
ISSN: 2227-7390
DOI: 10.3390/math10030375
metadata.dc.description.sponsorship: Funding: S.F. and N.K. were funded by EPSRC Grant No. EP/V008641/1. D.A. and I.S. were funded by the Ministry of Science and Higher Education of the Russian Federation (Project No. 075-15-2021-1002).
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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