Abstract

In the seed plants, the pollen tube is a cellular extension that serves as a conduit through which male gametes are transported to complete fertilization of the egg cell. It consists of a single elongated cell which exhibits characteristic oscillations in growth rate until it finally bursts, completing its function. The mechanism behind the periodic character of the growth has not been fully understood. In this paper we show that the mechanism of pressure – induced symmetry frustration occurring in the wall at the transition-perimeter between the cylindrical and approximately hemispherical parts of the growing pollen tube, together with the addition of cell wall material, is sufficient to release and sustain mechanical self-oscillations and cell extension. At the transition zone, where symmetry frustration occurs and one cannot distinguish either of the involved symmetries, a kind of ‘superposition state’ appears where either single or both symmetry(ies) can be realized by the system. We anticipate that testifiable predictions made by the model () may deliver, after calibration, a new tool to estimate turgor pressure from oscillation frequency of the periodically growing cell. Since the mechanical principles apply to all turgor regulated walled cells including those of plant, fungal and bacterial origin, the relevance of this work is not limited to the case of the pollen tube.

Highlights

  • General outline The pollen tube has become a widely used cellular model system

  • We modeled the strain rates in the cell wall caused by turgor pressure as a function of the different symmetries present in the pollen tube and found that a crucial area on the cellular surface of the pollen tube can be characterized by what we have termed symmetry frustration

  • We propose that changes between different symmetry regimes might be the mechanical underpinning of periodic changes in growth rate and shape observed during oscillatory growth

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Summary

Introduction

General outline The pollen tube has become a widely used cellular model system. In addition to being one of the fastest growing plant cells, it features periodic oscillations of the growth rate that have attracted numerous attempts to model the process. Growing pollen tubes characteristically display characteristic oscillations in growth and growth rate [11], [12], [13] These growth oscillations depend on many phenomena, among which are the underlying ion and mass fluxes, wall mechanical properties, system symmetries and turgor pressure. A mechanical prerequisite for the unidirectional growth of pollen tubes for the (scalar) hydrostatic pressure is a softer cell wall at the tip of the cell, and a more rigid wall at the basal part [17], [18] This gradient of mechanical properties is generated by the absence or scarcity of callose and cellulose at the tip [19] as well as by the relatively high degree of esterification of the pectin polymers in this region. The gradient in cell wall composition from apical esterified to distal de-esterified is reported to be correlated with an increase in the degree of cell wall rigidity

Growth Oscillations in Pollen Tubes
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