A moving boundary model of acrosomal elongation

A sperm penetrates an egg by extending a long, actin-filled tube known as the acrosomal process. This simple example of biomotility is one of the most dramatic. In Thyone, a 90 μm process can extend in less than 10 s. Experiments have shown that actin monomers stored in the base of the sperm are transported to the growing tip of the acrosomal process where they add to the ends of the existing filaments. The force that drives the elongation of the acrosomal process has not yet been identified although the most frequently discussed candidate is the actin polymerization reaction. Developing what we believe are realistic moving boundary models of diffusion limited actin fiber polymerization, we show that actin filament growth occurs too slowly to drive acrosomal elongation. We thus believe that other forces, such as osmotically driven water flow, must play an important role in causing the elongation. We conjecture that actin polymerization merely follows to give the appropriate shape to the growing structure and to stabilize the structure once water flow ceases.