English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper, we analyse a model for the growth of three-dimensional walledcells. In this model the biomechanical expansion of the cell is coupled withthe geometry of its wall. We consider that the density of building materialdepends on the curvature of the cell wall, thus yield-ing possible anisotropicgrowth. The dynamics of the axisymmetric cell wall is described by a system ofnonlinear PDE including a nonlin-ear convection-diffusion equation coupled witha Poisson equation. We develop the linear stability analysis of the sphericalsymmetric config-uration in expansion. We identify three critical parametersthat play a role in the possible instability of the radially symmetric shape,namely the degree of nonlinearity of the coupling, the effective diffusion ofthe building material, and the Poisson's ratio of the cell wall. We alsoinvestigate numerically pattern selection in the nonlinear regime. All theresults are also obtained for a simpler, but similar, two-dimensional model.

Pattern selection in a biomechanical model for the growth of walled cells