The basic nuclear matter properties are calculated within the standard
Hartree-Fock scheme using a Michigan version of the in-medium NN inte
raction (the so-called M3Y interaction). Due to the attractive charact
er of the M3Y interaction, the saturation requirement for the nuclear
matter is not fulfilled and the nuclear matter generated with this int
eraction is unstable against collapse. This necessitates the introduct
ion of an appropriate density dependence into the original M3Y interac
tion. Our density dependent versions of the M3Y interaction consistent
ly reproduce the equilibrium density and binding energy of the normal
nuclear matter as well as the microscopic results (obtained by Jeukenn
e, Lejeune and Mahaux) for the nucleon optical potential. They can be
used in the folding model to calculate the nucleon-nucleus and nucleus
-nucleus potentials. A possible study of the cold nuclear equation of
state through heavy-ion scattering, which is based on the use of the n
ew interaction to calculate the heavy-ion optical potential, is also d
iscussed.