A theory of centriole duplication based on self-organized spatial pattern formation
In each cell cycle, centrioles are duplicated to produce a single copy of each pre-existing centriole. At the onset of centriole duplication, the master regulator Polo-like kinase 4 (Plk4) undergoes a dynamic change in its spatial pattern on the periphery of the pre-existing centriole, forming a single duplication site. However, the significance and mechanisms of this pattern transition remain largely unknown. Using super-resolution imaging, we found that centriolar Plk4 exhibits periodic discrete patterns resembling pearl necklaces, frequently with single prominent foci. We constructed mathematical models that simulated the pattern formation of Plk4 to gain insight into the discrete ring patterns. The simulations incorporating the self-organization properties of Plk4 successfully generated the experimentally observed patterns. We therefore propose that the self-patterning of Plk4 is crucial for the regulation of centriole duplication. These results, defining the mechanisms of self-organized regulation, provide a fundamental principle for understanding centriole duplication.