  The set of coherent states for a noncommutative quantum Bianchi I anisotropic
cosmology were built to circumvent the absence of a simultaneous set of
configuration observables. By extending known methods of path integrals with
coherent states to their noncommutative analogues allowed us to obtain the
formal expression of the propagator of the theory in terms of the covariant
Husimi Q-symbol of the quantum constraint. The analysis of the equations of
motion resulting from a steepest descent procedure showed the existence of
solutions displaying a minimum value of the volume scaling function which are,
in turn, compatible with a physically inspired definition for a bounce. More
importantly, a lower bound for the volume at the bounce which incorporates
quantum mechanical and noncommutativite contributions was established. The
asymptotic analysis of the solutions in the vicinity of the bounce was
performed by implementing techniques used in boundary-layer problems. The
numerical simulations that confirm our results are also presented.
