  With suitably designed Monte Carlo simulations we have investigated the
properties of mobile, impenetrable, yet deformable particles that are immersed
into a porous matrix, the latter one realized via a frozen configuration of
spherical particles. By virtue of a model put forward by Batista and Miller
[Phys. Rev. Lett. {\bf 105}, 088305 (2010)] the fluid particles can change
under the impact of their surrounding (i.e., either other fluid particles or
the matrix) their shape within the class of ellipsoids of revolution; such a
change in shape is related to an energy change which is fed into suitably
defined selection rules in the deformation "moves" of the Monte Carlo
simulations. This concept represents a simple, yet powerful model of realistic,
deformable molecules with complex internal structures (such as dendrimers or
polymers). For the evaluation of the properties of the system we have used the
well-known quenched-annealed protocol (with its characteristic double average
prescription) and have analysed the simulation data in terms of static
properties (radial distribution function and aspect ratio distribution of the
ellipsoids) and dynamic features (notably the mean squared displacement). Our
data provide evidence that the degree of deformability of the fluid particles
has a distinct impact on the aforementioned properties of the system.
