ORCID Profile
0000-0001-5824-5412
Current Organisations
Daffodil International University
,
University of Queensland
,
Queensland University of Technology
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Publisher: Cold Spring Harbor Laboratory
Date: 20-01-2023
DOI: 10.1101/2023.01.18.524542
Abstract: In this study, we consider axonal transport of large cargo vesicles characterised by transient expansion of the axon shaft. Our goal is to formulate a mathematical model which captures the dynamic mechanical interaction of such cargo vesicles with the membrane associated periodic cytoskeletal structure (MPS). It consists of regularly spaced actin rings that are transversal to the longitudinal direction of the axon and involved in the radial contraction of the axon. A system of force balance equations is formulated by which we describe the transversal rings as visco-elastic Kelvin-Voigt elements. In a homogenisation limit, we reformulate the model as a free boundary problem for the interaction of the submembranous MPS with the large vesicle. We derive a non-linear force-velocity relation as a quasi-steady state solution. Computationally we analyse the vesicle size dependence of the transport speed and use an asymptotic approximation to formulate it as a power law that can be tested experimentally.
Publisher: Elsevier BV
Date: 05-2022
Publisher: Zenodo
Date: 2013
Publisher: Elsevier BV
Date: 03-2017
Publisher: University of Queensland Library
Date: 2023
DOI: 10.14264/1B10706
Publisher: Academic Journals
Date: 12-02-2014
Publisher: Springer Science and Business Media LLC
Date: 05-03-2014
Abstract: In this article, a new extended ( G ′/ G ) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dimensional potential-YTSF equation. As a result, abundant new and more general exact solutions have been achieved of this equation. It has been shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in applied mathematics, engineering and mathematical physics.
No related grants have been discovered for Nizhum Rahman.