Non-Markovian intracellular transport with sub-diffusion and run-length dependent detachment rate.

Non-Markovian intracellular transport with sub-diffusion and run-length dependent detachment rate.
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DOI:
10.1371/journal.pone.0207436
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发表时间:
2018
期刊:
影响因子:
3.7
通讯作者:
Allan VJ
Allan VJ
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Korabel N;Waigh TA;Fedotov S;Allan VJ

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细胞器的细胞内运输是细胞功能和健康的基础。越来越多的证据表明,这种运输实际上是异常的。然而,这种反常现象的原因仍在争论之中。我们研究了活细胞内的细胞器的实验轨迹,并提出了一个数学模型,描述了以前报道的从亚扩散到超扩散运动的过渡。为了解释在很长一段时间的超扩散行为,我们引入非马尔可夫脱附动力学的货物:脱附率是成反比的时间,因为最后一个附件。最近,我们在真核细胞实验中观察到非马尔可夫分离率。在这里,我们进一步讨论了如何产生这种有效的非马尔可夫分离率的不同情况。非马尔可夫模型是成功的,同时描述的时间平均方差(时间平均均方位移校正定向运动),平均首次通过时间的轨迹和多个峰值中观察到的货物速度分布。我们认为,非马尔可夫动力学可能是生物学上有益的马尔可夫动力学通常用于建模相比,通过增加平均距离的货物旅行时,微管被其他细丝。反过来,亚扩散允许货物以更高的概率到达相邻的细丝,这促进了沿着微管的沿着主动运动。
Intracellular transport of organelles is fundamental to cell function and health. The mounting evidence suggests that this transport is in fact anomalous. However, the reasons for the anomaly is still under debate. We examined experimental trajectories of organelles inside a living cell and propose a mathematical model that describes the previously reported transition from sub-diffusive to super-diffusive motion. In order to explain super-diffusive behaviour at long times, we introduce non-Markovian detachment kinetics of the cargo: the rate of detachment is inversely proportional to the time since the last attachment. Recently, we observed the non-Markovian detachment rate experimentally in eukaryotic cells. Here we further discuss different scenarios of how this effective non-Markovian detachment rate could arise. The non-Markovian model is successful in simultaneously describing the time averaged variance (the time averaged mean squared displacement corrected for directed motion), the mean first passage time of trajectories and the multiple peaks observed in the distributions of cargo velocities. We argue that non-Markovian kinetics could be biologically beneficial compared to the Markovian kinetics commonly used for modelling, by increasing the average distance the cargoes travel when a microtubule is blocked by other filaments. In turn, sub-diffusion allows cargoes to reach neighbouring filaments with higher probability, which promotes active motion along the microtubules.
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