Investigation of pollen release by poricidal anthers using mathematical billiards,Physical Review E

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Investigation of pollen release by poricidal anthers using mathematical billiards
Physical Review E ( IF 2.2 ) Pub Date : 2021-09-13 , DOI: 10.1103/physreve.104.034409
Matheus Hansen ₁ , Gabriel C Lanes ₂ , Vinícius L G Brito ₂ , Edson D Leonel ₃

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Buzz pollination is described using a mathematical model considering a billiard approach. Applications to a rough morphology of a typical poricidal anther of a tomato flower (Solanum lycopersicum) experiencing vibrations applied by a bumblebee (Bombus terrestris) are made. The anther is described by a rectangular billiard with a pore on its tip while the borders are perturbed by specific oscillations according to the vibrational properties of the bumblebee. Pollen grains are considered as noninteracting particles that can escape through the pore. Our results not only recover some observed data but also provide a possible answer to an open problem involving buzz pollination.

中文翻译：

用数学台球研究杀虫花药释放花粉

蜂鸣授粉是使用考虑台球方法的数学模型来描述的。对经历大黄蜂 ( Bombus terrestris )施加的振动的番茄花 ( Solanum lycopersicum )的典型杀虫花药的粗略形态进行了应用。花药被描述为一个矩形台球，其尖端有一个孔，而边界则根据大黄蜂的振动特性受到特定振荡的干扰。花粉粒被认为是可以通过孔隙逸出的非相互作用颗粒。我们的结果不仅恢复了一些观察到的数据，而且还为涉及蜂鸣授粉的开放问题提供了可能的答案。

更新日期：2021-09-13

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