There is a new open access publisher called ScienceOpen. The idea behind ScienceOpen is to publish in all areas of science and utilize post-publication peer review. Submitted articles will go through a technical and ethical review and accepted publications are then published online with a DOI after payment of an $800 publication fee.
Open peer review takes place after publication. Authors may invite suitable reviewers for their own manuscript, and editors or other ScienceOpen members may also invite peers to review the work. Unsolicited comments make up a separate portion of the public review system. The identity of all reviewers and commenters is visible at all times.
For more information about this process: https://www.scienceopen.com/external/how_does_it_work