A general framework for microrheological modeling is provided and elab
orated for the case of configuration tensor models. It is an extension
and partial revision of our earlier work on a specific matrix represe
ntation for a thermodynamic treatment in microrheological modeling. Th
e extension consists in a more detailed discussion of the fundamentals
and some particular aspects of that representation, such as the impli
cations of frame indifference and isotropy and a more complete discuss
ion of its thermodynamic context. The revision has to do with the exte
nsion to nonlinear cases. Finally, the application to particular types
of rheological models is discussed in some detail.