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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The key of tip growth in eukaryotes is the polarized distribution on plasmamembrane of a particle named ROP1. This distribution is the result of apositive feedback loop, whose mechanism can be described by a DifferentialEquation parametrized by two meaningful parameters kpf and knf . We introduce amechanistic Integro-Differential Equation (IDE) derived from a spatiotemporalmodel of cell polarity and we show how this model can be fitted to real data,i.e., ROP1 intensities measured on pollen tubes. At first, we provide anexistence and uniqueness result for the solution of our IDE model under certainconditions. Interestingly, this analysis gives a tractable expression for thelikelihood, and our approach can be seen as the estimation of a constrainednonlinear model. Moreover, we introduce a population variability by aconstrained nonlinear mixed model. We then propose a constrained Least Squaresmethod to fit the model for the single pollen tube case, and two methods,constrained Methods of Moments and constrained Restricted Maximum Likelihood(REML) to fit the model for the multiple pollen tubes case. The performances ofall three methods are studied through simulations and are used on an in-housemultiple pollen tubes dataset generated at UC Riverside.

Constrained Nonlinear and Mixed Effects Differential Equation Models for Dynamic Cell Polarity Signaling