  We describe the elasticity of compressed microgel suspensions starting from a
core--shell model for the single particle. The mechanical properties of the
inner core and of the outer corona are described via the mean field Flory
theory, and via the Alexander--de Gennes model for polymer brushes,
respectively. The model successfully reproduces experimental measures of the
elastic shear modulus up to a constant factor that we rationalize in the
jamming perspective.
