肌球蛋白驱动囊泡进入树突棘的粗粒度随机模型
Coarse-grained Stochastic Model of Myosin-Driven Vesicles into Dendritic Spines
摘要：
我们研究了膜囊泡马达运输到树突棘的动力学，树突棘是神经元中的球状细胞内隔室，在神经元之间传递信号中起着关键作用。我们考虑在[Park and Fai，The Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors. Bull.Math.Biol.82，141（2020）]。随机版本，这可能被认为是一个代理为基础的模型，主要依赖于个人肌球蛋白马达的行动，产生囊泡运动。为了帮助我们的分析，我们粗粒此代理为基础的模型，使用主方程结合偏微分方程描述的概率局部电机位置。我们确认通过收敛性研究，粗粒化捕获的速度（在实验中观察到的）和等待时间分布的双稳态的基本特征之间切换的稳态速度。有趣的是，这些结果使我们能够重新制定的易位问题的平均首次通过时间的运行和翻滚粒子移动在有限域的两端吸收边界。最后，我们提出的数值和分析计算的囊泡易位。
英文摘要：
We study the dynamics of membrane vesicle motor transport into dendritic spines, which are bulbous intracellular compartments in neurons that play a key role in transmitting signals between neurons. We consider the stochastic analog of the vesicle transport model in [Park and Fai, The Dynamics of Vesicles Driven Into Closed Constrictions by Molecular Motors. Bull. Math. Biol. 82, 141 (2020)]. The stochastic version, which may be considered as an agent-based model, relies mostly on the action of individual myosin motors to produce vesicle motion. To aid in our analysis, we coarse-grain this agent-based model using a master equation combined with a partial differential equation describing the probability of local motor positions. We confirm through convergence studies that the coarse-graining captures the essential features of bistability in velocity (observed in experiments) and waiting-time distributions to switch between steady-state velocities. Interestingly, these results allow us to reformulate the translocation problem in terms of the mean first passage time for a run-and-tumble particle moving on a finite domain with absorbing boundaries at the two ends. We conclude by presenting numerical and analytical calculations of vesicle translocation.
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