We present a simple theory of the dynamics of force generation by RecA duri
ng homologous strand exchange and a continuous, deterministic mathematical
model of the proposed process. Calculations show that force generation is p
ossible in this model for certain reasonable values of the parameters. We p
redict the shape of the force-velocity curve for the Holliday junction, whi
ch exhibits a distinctive kink at large retarding force, and suggest experi
ments which should distinguish between the proposed model and other models
in the literature.