| Issue |
Math. Model. Nat. Phenom.
Volume 8, Number 4, 2013
Plant growth modelling
|
|
|---|---|---|
| Page(s) | 25 - 34 | |
| DOI | https://doi.org/10.1051/mmnp/20138403 | |
| Published online | 10 July 2013 | |
Pollen Tubes With More Viscous Cell Walls Oscillate at Lower Frequencies
1 Raymor Nanotech, Boisbriand,
Québec,
Canada
2 Département de sciences biologiques,
Institut de recherche en biologie végétale, Université de Montréal,
Montréal,
Québec,
Canada
⋆ Corresponding author. E-mail: jkroeger@raymor.com
Pollen tubes are tip growing plant cells that display oscillatory growth behavior. It has been demonstrated experimentally that the reduction of the average pollen tube growth rate through elevated extracellular calcium or borate concentrations coincides with a greater amplitude of the growth rate oscillation and a lower oscillation frequency. We present a simple numerical model of pollen tube growth that reproduces these results, as well as analytical calculations that suggest an underlying mechanism. These data show that the pollen tube oscillator is non-isochronous, and is different from harmonic oscillation.
Mathematics Subject Classification: 92C80 / 92C10 / 34C15
Key words: pollen tube growth / oscillations / borate / calcium / harmonic oscillator / modelling
© EDP Sciences, 2013
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.