Math. Model. Nat. Phenom.
Volume 8, Number 4, 2013Plant growth modelling
|Page(s)||25 - 34|
|Published online||10 July 2013|
Pollen Tubes With More Viscous Cell Walls Oscillate at Lower Frequencies
1 Raymor Nanotech, Boisbriand,
2 Département de sciences biologiques, Institut de recherche en biologie végétale, Université de Montréal, Montréal, Québec, Canada
⋆ Corresponding author. E-mail: firstname.lastname@example.org
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
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