  We calculate transport coefficients of the quark-gluon plasma (QGP) within
the dynamical quasiparticle model (DQPM) by explicitly computing the parton
interaction rates as a function of temperature $T$ and baryon chemical
potential $\mu_B$ on the basis of the DQPM couplings and partonic propagators.
The latter are extracted from lattice QCD by matching the equation of state,
entropy density and energy density at $\mu_B$= 0. For baryon chemical
potentials $0 \leq \mu_B \leq 500 MeV$ we employ a scaling Ansatz for the
effective coupling which was shown before to lead to thermodynamic consistent
results in this range. We compute the ratio of the shear and bulk viscosities
to the entropy density, i.e. $\eta/s$ and $\zeta/s$, the electric conductivity
$\sigma_0/T$ as well as the baryon diffusion coefficient $\kappa_B$ and compare
to related approaches from the literature. We find that the ratios $\eta/s$ and
$\zeta/s$ as well as $\sigma_0/T$ are in accord with the results from lattice
QCD at $\mu_B$=0 and only weakly depend on the ratio $T/T_c(\mu_B)$ where
$T_c(\mu_B)$ denotes the critical temperature at finite baryon chemical
potential.
