Several methods based on effective interactions or Lagrangians are availabl
e today. Although different in many respects (use of zero range or finite r
ange interactions, relativistic or non relativistic framework, different tr
eatments of pairing correlations), their applications to nuclei far from st
ability have shown converging results which still have to be incorporated i
n macroscopic approaches. Many efforts are also actually devoted to the imp
rovements of the effective interactions, especially of the pairing force. F
inally, developments are performed to include in a microscopic framework co
rrelations beyond a mean-field (in particular, the correlations generated b
y rotation and vibration in the deformed nuclear potential). I shall review
some key aspects of these developments and show how they affect the determ
ination of nuclear masses in particular at the limits of stability.