  Connecting the different length scales of characterization is an important,
but often very tedious task for soft matter systems. Here we carry out such a
procedure for the theoretical description of anisotropic uniaxial magnetic
gels. The so-far undetermined material parameters in a symmetry-based
macroscopic hydrodynamic-like description are determined starting from a
simplified mesoscopic particle-resolved model. This mesoscopic approach
considers chain-like aggregates of magnetic particles embedded in an elastic
matrix. Our procedure provides an illustrative background to the formal
symmetry-based macroscopic description. There are presently other activities to
connect such mesoscopic models as ours with more microscopic polymer-resolved
approaches; together with these activities, our study complements a first
attempt of scale-bridging from the microscopic to the macroscopic level in the
characterization of magnetic gels.
