Turing pattern formation on the sphere is robust to the removal of a hole.

Bud scars FEM RD-models Turing patterns

Journal

Journal of mathematical biology

ISSN: 1432-1416

Titre abrégé: J Math Biol

Pays: Germany

ID NLM: 7502105

Informations de publication

Date de publication:
31 Jan 2024

Historique:

received: 17 01 2023

accepted: 03 12 2023

revised: 17 11 2023

medline: 1 2 2024

pubmed: 1 2 2024

entrez: 31 1 2024

Statut: epublish

Résumé

The formation of buds on the cell membrane of budding yeast cells is thought to be driven by reactions and diffusion involving the protein Cdc42. These processes can be described by a coupled system of partial differential equations known as the Schnakenberg system. The Schnakenberg system is known to exhibit diffusion-driven pattern formation, thus providing a mechanism for bud formation. However, it is not known how the accumulation of bud scars on the cell membrane affect the ability of the Schnakenberg system to form patterns. We have approached this problem by modelling a bud scar on the cell membrane with a hole on the sphere. We have studied how the spectrum of the Laplace-Beltrami operator, which determines the resulting pattern, is affected by the size of the hole, and by numerically solving the Schnakenberg system on a sphere with a hole using the finite element method. Both theoretical predictions and numerical solutions show that pattern formation is robust to the introduction of a bud scar of considerable size, which lends credence to the hypothesis that bud formation is driven by diffusion-driven instability.

Identifiants

DOI: 10.1007/s00285-023-02034-z PMID: 38296874

pubmed: 38296874

doi: 10.1007/s00285-023-02034-z

pii: 10.1007/s00285-023-02034-z

doi:

Types de publication

Journal Article

Langues

eng

Sous-ensembles de citation

Pagination

Subventions

Organisme : Wenner-Gren Stiftelserna

ID : WGF2020-0061

Informations de copyright

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