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. 2019 Mar 7;9:3902. doi: 10.1038/s41598-019-40648-w

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© The Author(s) 2019

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Hasse diagram of organizations from Model 1 in different modifications. Left: Organizational diagram of unmodified Model 1 (including attachment reaction KinU → KinA and the spontaneous decay of O-Mad2). The only interesting organization (see the condition in Sec. 3.1.2) is highlighted green and corresponds to all steady state species Right: Organizational diagram of modified Model 1 (no attachment reaction KinU → KinA or the spontaneous decay of O-Mad2). Here, only new species are depicted for the sake of clarity. Now there exist three interesting organizations, which are highlighted: O_init = {APC/C, APC/C:Cdc20, APC/C:Cdc20:C-Mad2, APC/C:MCC, BubR1:Bub3 C-Mad2 Cdc20 Cdc20:BubR1:Bub3, Cdc20:Mad2, KinU, MCC O-Mad2} corresponds to the species initially present (no attached kinetochores): O_trans = {APC/C, APC/C:Cdc20, APC/C:Cdc20:BubR1:Bub3, APC/C:Cdc20:C-Mad2, APC/C:MCC, BubR1:Bub3, C-Mad2, Cdc20, Cdc20:BubR1:Bub3, Cdc20:Mad2, KinA, KinU, MCC, O-Mad2} corresponds to the transitional phase (both attached and unattached kinetochores are present): O_go = {APC/C, APC/C:Cdc20, BubR1:Bub3, Cdc20, Cdc20:BubR1:Bub3, KinA, O-Mad2} is the same organization as on the left side (only attached kinetochores).