  Quasilinear turbulent transport models are a successful tool for prediction
of core tokamak plasma profiles in many regimes. Their success hinges on the
reproduction of local nonlinear gyrokinetic fluxes. We focus on significant
progress in the quasilinear gyrokinetic transport model QuaLiKiz [C. Bourdelle
et al. 2016 Plasma Phys. Control. Fusion 58 014036], which employs an
approximated solution of the mode structures to significantly speed up
computation time compared to full linear gyrokinetic solvers. Optimization of
the dispersion relation solution algorithm within integrated modelling
applications leads to flux calculations $\times10^{6-7}$ faster than local
nonlinear simulations. This allows tractable simulation of flux-driven dynamic
profile evolution including all transport channels: ion and electron heat, main
particles, impurities, and momentum. Furthermore, QuaLiKiz now includes the
impact of rotation and temperature anisotropy induced poloidal asymmetry on
heavy impurity transport, important for W-transport applications. Application
within the JETTO integrated modelling code results in 1s of JET plasma
simulation within 10 hours using 10 CPUs. Simultaneous predictions of core
density, temperature, and toroidal rotation profiles for both JET hybrid and
baseline experiments are presented, covering both ion and electron turbulence
scales. The simulations are successfully compared to measured profiles, with
agreement mostly in the 5-25% range according to standard figures of merit.
