Regulation of microtubule array in its self-organized dense active crowds |
Schematic representation of an interacting kinetic growth model for microtubules with finite width W. The size of an individual microtubule j is described by a constant width W, and segment lengths lj,k, where the subscripts denote the kth segment on jth microtubule in the system. Every microtubule is covered with semicircle at both ends. The dash-dotted line indicates the central axis of microtubule, and the red arrow indicates the plus-end direction. In the cartoon, CMT2 will collide with CMT1 by further polymerization. αj is the colliding angle of the jth microtubule with its neighbor. The result depends on the choice of an critical zippering angle α0. For steep angle with αj > α0, the growth of microtubule is blocked and may trigger induced catastrophe; for shallow angle αj < α0, such as CMT3, it will zipper and grow along its colliding neighbor’s body axis. CMT4 represents a newly nucleated one in the free space. |