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A mathematical model of a single seed oleosome

Meacci, Luca; di Bari, Vincenzo; Ausas, Roberto Federico; Mut, Fernando; Gray, David Alistair; Buscaglia, Gustavo Carlos

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Authors

Luca Meacci

VINCENZO DI BARI Vincenzo.DiBari@nottingham.ac.uk
Assistant Professor in Food Structure

Roberto Federico Ausas

Fernando Mut

DAVID GRAY david.gray@nottingham.ac.uk
Professor of Applied Lipid Science

Gustavo Carlos Buscaglia



Abstract

© 2020 The Authors In this work we report for the first time a mathematical approach to model the behaviour of a single oleosome (oil body) within a seed cellular environment. To describe the behaviour of the oleosome membrane, we adopted a dynamical continuum model based on the principle of the virtual work where the intrinsic energy of the lipid membrane is assumed to obey the Canham–Helfrich model with the rheology of the viscous interface governed by the Boussinesq–Scriven law. To show the suitability of this approach to study the mechanical behaviour of oleosomes, we present some numerical simulations of a single oleosome deformation occurring under in vivo and ex vivo conditions. This work aims to show how the mathematical and computational modelling allows studying the impact of otherwise hard-to-measure physical quantities in this field of biological applications.

Citation

Meacci, L., di Bari, V., Ausas, R. F., Mut, F., Gray, D. A., & Buscaglia, G. C. (2021). A mathematical model of a single seed oleosome. Applied Mathematics, 9, Article 100128. https://doi.org/10.1016/j.rinam.2020.100128

Journal Article Type Article
Acceptance Date Sep 25, 2020
Online Publication Date Oct 28, 2021
Publication Date 2021-02
Deposit Date Oct 25, 2022
Publicly Available Date Oct 25, 2022
Journal Results in Applied Mathematics
Print ISSN 2152-7385
Electronic ISSN 2152-7393
Publisher Scientific Research Publishing
Peer Reviewed Peer Reviewed
Volume 9
Article Number 100128
DOI https://doi.org/10.1016/j.rinam.2020.100128
Public URL https://nottingham-repository.worktribe.com/output/5022323
Publisher URL https://www.sciencedirect.com/science/article/pii/S2590037420300388?via%3Dihub

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