Saturated fats and other fats are not the culprits

http://annals.org/article.aspx?articleid=1846638&atab=7

And a recent paper about this subject (in french)

http://www.atlantico.fr/decryptage/pourquoi-graisses-saturees-ne-representent-pas-forcement-danger-pour-notre-sante-qu-on-longtemps-redoute-guy-andre-pelouze-1015660.html