Abstract
The acrosomal process of the sea cucumber Thyone briareus can extend 90 μm in 10 s, but an epithelial goldfish keratocyte can only glide a few microns in the same time. Both speeds reflect the rate of extension of an actin network. The difference is in the delivery of actin monomers to the polymerization region. Diffusion supplies monomers fast enough to support the observed speed of goldfish keratocytes, but previous models have indicated that the acrosomal process of Thyone extends too rapidly for diffusion to keep up. Here we reexamine the assumptions made in earlier models and present a new model, the Actin Reconcentration Model, that includes more biological detail. Salt and water fluxes during the acrosomal reaction and the nonideality of the cytoplasm are particularly significant for actin delivery. We find that the variability of the acrosomal growth curve can be explained by the salt and water fluxes, and that nonideality magnifies the effect of actin concentration changes. We calculate the speed of process growth using biologically relevant parameters from the literature and find that the predictions of the model fall among the experimental data.