  We study the propagation of heavy quarks (HQs) in the quark-gluon plasma
(QGP) by means of a relativistic Boltzmann transport (RBT) approach. The
non-perturbative interaction between heavy quarks and light quarks is described
by means of a quasi-particle approach able to describe simultaneously the
experimental data for the nuclear suppression factor $R_{\rm AA}$ and the
elliptic flow $v_2(p_T)$ of D mesons from RHIC to LHC energies. In the same
framework we predict the B meson nuclear modification factor at LHC. Finally,
we discuss the relevance of initial state fluctuations that allows to extend
the analysis to high order anisotropic flows $v_n(p_T)$ as well as to
investigate the role of QCD interaction in developing correlations between the
light and the heavy flavour anisotropic flows.
