  Hydrodynamical simulations played an important role in understanding the
dynamics and shaping of planetary nebulae in the past century. However,
hydrodynamical simulations were just a first order approach. The new millennium
arrived with the generalized understanding that the effects of magnetic fields
were necessary to study the dynamics of planetary nebulae. Thus, B-fields
introduced a whole new number of physical possibilities for the modeling. In
this paper, we review observational works done in the last 5 years and several
works on magnetohydrodynamics about proto-planetary nebulae, since all the
effort has been focused on that stage, and discuss different scenarios for the
origin of magnetized winds, and the relation binary-bipolararity.
