  In this paper, we study the Cauchy problem to the density-dependent liquid
crystal system in $\mathbb R^3$. We establish the local existence and
uniqueness of strong solutions to this system. In order to overcome the
difficulties caused by the high order coupling terms, a biharmonic
regularization of the system, as an auxiliary system, is introduced, and we
make full use of the intrinsic cancellation properties between the high order
coupling terms.
