  The thermodynamic properties of high temperature and high density QCD-matter
are studied using the Chiral SU(3)-flavor parity-doublet Polyakov-loop
quark-hadron mean-field model, CMF. The CMF model provides a proper description
of lattice QCD data, heavy-ions physics, and static neutron stars. The behavior
of lines of constant pressure with increase of baryon density is discussed. The
rapid change of pressure behavior at $\mu_B/T\approx3$ suggests a strong
contribution of baryons to thermodynamic properties at this region. The
position of this region is very close to the radius of convergence for a Taylor
expansion of the QCD pressure. The role of mesons and unstable hadrons in the
hydrodynamic expansion of strongly interacting matter is also discussed.
