Amitai Assaf, Toulouze Mathias, Dubrana Karine, Holcman David
Institute for Medical Engineering & Science, The Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts, United States of America.
Laboratory of genetic instability and nuclear organization, CEA, Fontenay-aux-Roses, France.
PLoS Comput Biol. 2015 Aug 28;11(8):e1004433. doi: 10.1371/journal.pcbi.1004433. eCollection 2015 Aug.
Is it possible to extract tethering forces applied on chromatin from the statistics of a single locus trajectories imaged in vivo? Chromatin fragments interact with many partners such as the nuclear membrane, other chromosomes or nuclear bodies, but the resulting forces cannot be directly measured in vivo. However, they impact chromatin dynamics and should be reflected in particular in the motion of a single locus. We present here a method based on polymer models and statistics of single trajectories to extract the force characteristics and in particular when they are generated by the gradient of a quadratic potential well. Using numerical simulations of a Rouse polymer and live cell imaging of the MAT-locus located on the yeast Saccharomyces cerevisiae chromosome III, we recover the amplitude and the distance between the observed and the interacting monomer. To conclude, the confined trajectories we observed in vivo reflect local interaction on chromatin.
能否从体内成像的单个基因座轨迹统计数据中提取施加在染色质上的束缚力?染色质片段与许多伙伴相互作用,如核膜、其他染色体或核体,但由此产生的力无法在体内直接测量。然而,它们会影响染色质动力学,尤其应该反映在单个基因座的运动中。我们在此提出一种基于聚合物模型和单轨迹统计的方法,以提取力的特征,特别是当它们由二次势阱梯度产生时。通过对Rouse聚合物的数值模拟和位于酿酒酵母III号染色体上的MAT基因座的活细胞成像,我们恢复了观察到的单体与相互作用单体之间的振幅和距离。总之,我们在体内观察到的受限轨迹反映了染色质上的局部相互作用。