4.7 Article

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

Journal

FRONTIERS IN PLANT SCIENCE
Volume 13, Issue -, Pages -

Publisher

FRONTIERS MEDIA SA
DOI: 10.3389/fpls.2022.847671

Keywords

cell polarity; constrained semiparametric regression; identifiability; integro-differential equation; method of moments; semilinear elliptic equation

Categories

Funding

  1. United States Department of Agriculture (USDA) National Institute of Food and Agriculture (NIFA) Hatch Project AES-CE award [CA-R-STA-7132-H]
  2. NSF [DMS 185369]

Ask authors/readers for more resources

Polar cell growth is a crucial process in the growth, development, and reproduction of eukaryotic organisms. This paper introduces a mechanistic integro-differential equation and constrained semiparametric regression to quantitatively describe the interplay among different processes involved in the polar distribution of active ROP1 protein. The analysis reveals a stable equilibrium between positive and negative feedback loops, which defines the tip growth and polarity of pollen tubes.
Polar cell growth is a process that couples the establishment of cell polarity with growth and is extremely important in the growth, development, and reproduction of eukaryotic organisms, such as pollen tube growth during plant fertilization and neuronal axon growth in animals. Pollen tube growth requires dynamic but polarized distribution and activation of a signaling protein named ROP1 to the plasma membrane via three processes: positive feedback and negative feedback regulation of ROP1 activation and its lateral diffusion along the plasma membrane. In this paper, we introduce a mechanistic integro-differential equation (IDE) along with constrained semiparametric regression to quantitatively describe the interplay among these three processes that lead to the polar distribution of active ROP1 at a steady state. Moreover, we introduce a population variability by a constrained nonlinear mixed model. Our analysis of ROP1 activity distributions from multiple pollen tubes revealed that the equilibrium between the positive and negative feedbacks for pollen tubes with similar shapes are remarkably stable, permitting us to infer an inherent quantitative relationship between the positive and negative feedback loops that defines the tip growth of pollen tubes and the polarity of tip growth.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available