We present a numerical model of the action of a pulsar on its associated su
pernova remnant. The expansion of the blast wave in the progenitor star has
first been considered until radiation pressure within the ejected material
becomes negligible due to expansion. By assuming that expansion is ballist
ic and that the ejecta is opaque to the pulsar 's magnetodipole radiation,
the model produces a radiation-filled cavity which grows around the pulsar
and contributes to power the dynamics of the forming supernova remnant. The
interface between the cavity and the ejecta has been modelled as a thin sh
ell which, depending on the initial spin frequency of the pulsar, can sweep
through the ejecta and reach the blast wave. Results for the evolution of
the shell indicate that it may strike the frontmost part of the shocked gas
some 60 years after the explosion. Such pulsar-supernova remnant interacti
ons are proposed to form the base of a new subclassification of pulsar-fill
ed supernova remnants.