I work for Analog Devices, who makes MEMS microphones. I have written an application note to describe how to use a MEMS microphone in a circuit that was originally designed to use electret mics. Along with the MEMS mic, it requires a few additional passive components to remove the bias from the signal and provide a dc supply to the mic's Vdd pin. http://www.analog.com/static/imported-files/application_notes/AN-1181.pdfhttps://www.invensense.com/wp-content/uploads/2015/02/Using-a-MEMS-Microphone-in-a-2-Wire-Microphone-Circuit.pdf. I hope this is helpful.
Analog Devices sold its microphone business to InvenSense in October 2013. This app note is now hosted on InvenSense's site.