u r where y = (n - 2)Eu - 1 + ß + 2ß(u; + u + u-u)

The boundary conditions here are orr = 0 at r = 1, the wound edge, and u(œ) = 0.

The actin density distributions Gr (r ) and Ge (r ) in the radial and azimuthal directions are now given by (9.62) with o\ = arr and o2 = aee obtained from (9.63) and the retraction at the wound edge by u(1). Of course (9.64) has to be solved numerically as was done by Sherratt (1991) (see also Sherratt et al. 1992, Sherratt 1993).

The model equation has a solution provided the parameter values are again restricted to a well-defined parameter domain and in particular for j near one edge of this domain. The model solutions exhibit both an intense aggregation of filamentous actin at the wound edge, and pronounced alignment of these aggregated filaments with the wound edge, as shown in Figure 9.22 and Figure 9.23. Moreover, for appropriate parameter values, the model solutions also predict a similar degree of retraction of the epidermis over the underlying mesenchyme to that found experimentally, namely, about 30 to 40 ixm (Figures 9.16 and 9.21). To show more visually the correspondence between the predicted actin filament density and the experimental results of Martin and

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