The iris diaphragm model of centriole and basal body formation

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Abstract
This paper suggests that the formation and structure of the microtubular skeleton of centrioles and basal bodies can be derived from the following simple geometric principle. A closed ring of nine microtubular initiation sites defines (1) a template for the packing of 18 additional microtubular initiation sites, and (2) the shape of nine rigid arms. Upon swivelling of each arm around a point located four initiation sites away on the initial ring, the array unfolds in a manner similar to the opening of an iris diaphragm. As a consequence, the curved shape of the microtubular triplet blades arises together with the clockwise rotational sense of the slanted blades of the centriole or basal body. The final diameter of the centriole (basal body) self-adjusts. Furthermore, the pitch of the triplet blades, the taper of centrioles and basal bodies, and the change of slant of the blades towards the distal end can be derived. In addition, the model points to a method of replication of pro-centrioles (pro-basal bodies). The hypothesis was tested by the fitting of electron microscopical cross sections of centrioles of 3T3 cells to the geometric shapes predicted by the model.