Mukherji Sutapa, Patel Dhruvi K
Mathematical and Physical Sciences Division, School of Arts and Sciences, Ahmedabad University, Navrangpura, Ahmedabad, 380009, India.
Eur Phys J E Soft Matter. 2024 Jul 13;47(7):47. doi: 10.1140/epje/s10189-024-00440-9.
In intracellular transports, motor proteins transport macromolecules as cargos to desired locations by moving on biopolymers such as microtubules. Recent experiments suggest that, while moving in crowded environments, cargos that can associate motor proteins during their translocation have larger run-length and association time compared to free motors. Here, we model the dynamics of a cargo that can associate at the most m free motors present on the microtubule track as obstacles to its motion. The proposed models display competing effects of association and crowding, leading to a peak in the run-length with the free-motor density. For and 3, we show that this feature is governed by the largest eigenvalue of the transition matrix describing the cargo dynamics. In all the above cases, free motors are assumed to be present on the microtubule as stalled obstacles. We finally compare simulation results for the run-length for general scenarios where the free motors undergo processive motion in addition to binding and unbinding to or from the microtubule.
在细胞内运输过程中，驱动蛋白通过在微管等生物聚合物上移动，将大分子作为货物运输到所需位置。最近的实验表明，在拥挤环境中移动时，与游离驱动蛋白相比，在转运过程中能够与驱动蛋白结合的货物具有更长的运行长度和结合时间。在此，我们对一种货物的动力学进行建模，该货物最多可与微管轨道上作为其运动障碍物的m个游离驱动蛋白结合。所提出的模型展示了结合和拥挤的竞争效应，导致运行长度随游离驱动蛋白密度出现峰值。对于m = 1和m = 3的情况，我们表明这一特征由描述货物动力学的转移矩阵的最大特征值决定。在上述所有情况中，游离驱动蛋白被假定为作为停滞的障碍物存在于微管上。最后，我们比较了一般情况下运行长度的模拟结果，在这些情况下，游离驱动蛋白除了与微管结合和解离外，还进行持续性运动。
