Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/112165
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dc.contributor.authorFedotov, S.en
dc.contributor.authorAlexandrov, D.en
dc.contributor.authorStarodumov, I.en
dc.contributor.authorKorabel, N.en
dc.date.accessioned2022-05-12T08:29:51Z-
dc.date.available2022-05-12T08:29:51Z-
dc.date.issued2022-
dc.identifier.citationStochastic 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.en
dc.identifier.issn2227-7390-
dc.identifier.otherAll Open Access, Gold3
dc.identifier.urihttp://hdl.handle.net/10995/112165-
dc.description.abstractIn 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.en
dc.description.sponsorshipFunding: 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).en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMDPIen1
dc.publisherMDPI AGen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceMathematics2
dc.sourceMathematicsen
dc.subjectENDOSOMAL ESCAPEen
dc.subjectPH-RESPONSIVE NANOPARTICLESen
dc.subjectSTOCHASTIC ODE’Sen
dc.subjectVIRUSESen
dc.subjectVIRUS–ENDOSOME FUSIONen
dc.titleStochastic Model of Virus–Endosome Fusion and Endosomal Escape of pH-Responsive Nanoparticlesen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.scopus85123541545-
local.contributor.employeeFedotov, S., Department of Mathematics, The University of Manchester, Manchester, M13 9PL, United Kingdom; Alexandrov, D., Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation; Starodumov, I., Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federation; Korabel, N., Department of Mathematics, The University of Manchester, Manchester, M13 9PL, United Kingdomen
local.issue3-
local.volume10-
local.contributor.departmentDepartment of Mathematics, The University of Manchester, Manchester, M13 9PL, United Kingdom; Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics, Ural Federal University, Lenin Ave., 51, Ekaterinburg, 620000, Russian Federationen
local.identifier.pure29560047-
local.description.order375
local.identifier.eid2-s2.0-85123541545-
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