Figure 6. The analytical model of microtubule self-organization.

(A) Analytical model setup: cell shape is parameterized by the arclength, ${\displaystyle \zeta }$, along the cell boundary (magenta). At the minus-end, ${\displaystyle \zeta }$, a straight microtubule (green) grows at an angle ${\displaystyle \theta }$ (or ${\displaystyle \phi }$) with respect to the cell boundary (or horizontal); its maximum length is the cross-section, ${\displaystyle a}$, of the cell. (B) Left: snapshot of the simulations with non-interacting microtubules for cells of eccentricity 0.85. Right: the agreement between the microtubule angle distributions given by Equation 9 (red) and the stochastic simulations (blue).