We propose a modulated free energy which combines of the method previously developed by the speaker together with the modulated energy introduced by S. Serfaty. This modulated free energy may be under-stood as introducing appropriate weights in the relative entropy to cancel themore singular terms involving the divergence of the flow. This modulated free energy allows to treat singular interactions of gradient-flow type andallows potentials with large smooth part, small attractive singular part andlarge repulsive singular part. As an example, a full rigorous derivation (with quantitative estimates) of some chemotaxis models, such as Patlak-Keller-Segel system in the subcritical regimes, is obtained. This is joint work with D. Bresch and Z. Wang.