Computer simulation of merotelic kinetochore-microtubule attachments: corona size is more important than other cell parameters.

Maxim A Krivov, Fazoil I Ataullakhanov, Pavel S Ivanov
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Abstract

The even chromosome segregation between daughter cells during mitosis is crucial for genome integrity and is mostly regulated by proper attachments of spindle microtubules to kinetochores. Abnormalities in this process can lead to chromosome mis-segregation and potentially result in severe developmental disorders such as aneuploidy and cancer. Merotelic attachments when tubulin microtubules captured by the kinetochore of one chromatid originate from both spindle poles are considered as one of the key molecular processes that cause such abnormalities. In this paper, we use computer modeling and the Monte Carlo approach to reveal the reasons for retaining merotelic attachments at the end of metaphase. To this end, we varied, in small increments, the basic cell parameters within ensembles of 100, 500, and 1000 virtual cells. The analysis of configurations that ensure the preservation of the largest fraction of merotelic attachments enabled us to conclude that only a change in the size of the kinetochore corona can significantly increase the number of merotelic attachments and the angle between the centromere axis and the spindle axis. The effect of the other changes in model parameters, if any, was steadily suppressed by the end of metaphase. In addition, our computer model was validated by successfully reproducing the results of third-party theoretical studies as well as some experimental observations. We also found that the orientation of chromosomes and the number of merotelic attachments do not have an explicit correlation with each other and within some limits can change independently.

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微管附着物的计算机模拟:电晕大小比其他细胞参数更重要。
在有丝分裂过程中,子细胞之间的均匀染色体分离对基因组的完整性至关重要,并且主要由纺锤体微管与着丝点的适当附着来调节。这一过程中的异常可能导致染色体错误分离,并可能导致严重的发育障碍,如非整倍体和癌症。当一个染色单体的着丝点捕获的微管来自两个纺锤极时,细粒附着被认为是导致这种异常的关键分子过程之一。在本文中,我们使用计算机建模和蒙特卡罗方法来揭示在中期结束时保留merotelic附着物的原因。为此,我们在100,500和1000个虚拟单元的集合中以较小的增量改变基本单元参数。对确保保存最大比例的着丝粒附着物的结构的分析使我们得出结论,只有改变着丝粒电晕的大小才能显著增加着丝粒附着物的数量和着丝粒轴与纺锤轴之间的角度。模型参数的其他变化的影响,如果有的话,在中期结束时被稳定地抑制了。此外,我们的计算机模型通过成功地再现第三方理论研究的结果以及一些实验观察结果得到了验证。我们还发现染色体的方向和附著体的数量彼此之间没有明确的相关性,在一定范围内可以独立改变。
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