Fractional diffusion of membrane receptors in endocytosis pathway

Fractional diffusion of membrane receptors in endocytosis pathway

Gianmarco Nuzzo, Emanuela Bologna, Kaushik Dayal, Massimiliano Zingales

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Abstract. In this paper the diffusion model representing the motion of membrane receptors with respect to virus endocytosis is considered in the context of applied mechanics. The unexpected behaviour of the receptor density that moves from higher concentrations in the unbound phase to lower concentration at the right of the virus surface is accounted for introducing a mechanical drift term in the governing equation so that the difference of concentrations, higher in the bounded phase and lower in the unbounded phase is accounted for in the receptor motion. Additionally, a non-gaussian model of diffusion has been introduced in terms of fractional generalization of the Fick law.

Keywords
Endocytosis, Biomechanics, Fractional Calculus, Stefan Problem, Phase Transformation

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Gianmarco Nuzzo, Emanuela Bologna, Kaushik Dayal, Massimiliano Zingales, Fractional diffusion of membrane receptors in endocytosis pathway, Materials Research Proceedings, Vol. 26, pp 305-310, 2023

DOI: https://doi.org/10.21741/9781644902431-50

The article was published as article 50 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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