Mathematical Modelling of Natural Phenomena · 2013 · 15 citations · 29 references
Life SciencesPlant BiologyPlant SciencesCell BiophysicsPlant CytologyPlant PhysiologyPollen BiologyPollen Tube GrowthPollination BiologyPollen Cell Wall DynamicsPollen Tube Cell Wall DynamicsPollen Tube Cell Wall MechanicsPollen Tube ElongationPollen Tube Growth Rate RegulationPollen Tube Oscillatory GrowthPollen Tube Tip GrowthPollen Tube Wall Dynamics
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.
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An analysis of irreversible plant cell elongation
James A. Lockhart · Journal of Theoretical Biology · 1965 · 1.2K citations
Finite Element Model of Polar Growth in Pollen Tubes
Pierre Fayant, Orlando Girlanda, Youssef Chebli et al. · The Plant Cell · 2010 · 213 citations · Full text