A mathematical model for axonal transport of large cargo vesicles.
Actin rings
Asymptotic approximation
Axonal transport
Motor protein
Obstacle problem
Potential energy
Journal
Journal of mathematical biology
ISSN: 1432-1416
Titre abrégé: J Math Biol
Pays: Germany
ID NLM: 7502105
Informations de publication
Date de publication:
25 Nov 2023
25 Nov 2023
Historique:
received:
20
08
2022
accepted:
17
10
2023
revised:
19
05
2023
medline:
27
11
2023
pubmed:
26
11
2023
entrez:
25
11
2023
Statut:
epublish
Résumé
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.
Identifiants
pubmed: 38006409
doi: 10.1007/s00285-023-02022-3
pii: 10.1007/s00285-023-02022-3
doi:
Substances chimiques
Actins
0
Types de publication
Journal Article
Langues
eng
Sous-ensembles de citation
IM
Pagination
1Subventions
Organisme : Australian Research Council
ID : DP180102956
Informations de copyright
© 2023. The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
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