Dynamical modelling of dwarf spheroidals The large stellar kinematic data sets for dwarf spheroidal galaxies (dSphs) which are now becoming available offer the prospect of constraining their dark matter density profiles and exploring in detail the role of external tides in the evolution of dSphs. I will present two MCMC-based approaches to the modelling of dSphs which aim to extract as much information as possible from the observed data. The first approach constructs distribution functions for the stellar component of the Fornax dSph and uses MCMC to explore the associated parameter space and place constraints on its halo density profile. The second approach combines MCMC with full N-body simulations of the evolution of a dSph in an external tidal field in order to explore the degeneracies between the signatures of unseen mass and external tides in the observed internal kinematics of a dSph. Preliminary results for the Carina dSph will be presented.