Simulation of the mechanism of determining the position of the cleavage furrow in cytokinesis of sea urchin eggs.

In cytokinesis of sea urchin eggs, the numerical density of astral microtubules extending close to the cell surface has been thought to determine the position of the cleavage furrow. In the present study, a new model was constructed to simulate the relationship between the microtubule density and the furrow formation. In the model, gradients of the microtubule density drive fluid membrane proteins whose accumulation triggers the formation of contractile-ring microfilaments. The model could explain the behavior of the cleavage furrow under various experimental conditions. These simulations revealed two aspects of furrow formation. One is that in some cases, the cleavage furrow appears in a surface region where the microtubule density has neither a minimum nor a maximum. In all furrow regions, however, the second derivative of the microtubule-density function has large positive values. Membrane proteins greatly slow down to accumulate in such a region. The other is that the cleavage furrow is mobile, not fixed in one position, because of the fluidity of membrane proteins. These results strongly suggested that the mitotic apparatus determines the position of the cleavage furrow by redistributing membrane proteins through gradients of the microtubule density at the cell surface.