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. 2014 Oct 9;5:538. doi: 10.3389/fpls.2014.00538

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Copyright © 2014 Besson and Dumais.

This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

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Stochastic rule for the selection of a division plane. (A,B) Two glandular trichomes showing the quadrant cells studied by Berthold and Thompson. Each circular gland divides twice across its center to produce four quadrant cells. These quadrant cells can undergo three types of division, all of which are predicted by soap films (C–E). The division plane with least area is anticlinal, forming a wedge cell and a triangular cell (D,E). The other division is periclinal (C) and corresponds to a local minimum of surface area or surface energy in the case of soap bubbles (F). (G) The proportion of cells adopting the optimal division plane i as a function of the relative area difference, δ_ij, in its favor. The solid line is the best fit of the experimental data with a probability function of the form (1 + exp(-βδ_ij))⁻¹. Values of β computed for individual species are also reported (inset) (modified from Besson and Dumais, 2011).