%T Quantification of microbubble concentration through x-ray phase contrast imaging %O © 2013 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Applied Physics Letters / Volume 103 / Issue 11 / INTERDISCIPLINARY AND GENERAL PHYSICS and may be found at http://apl.aip.org/resource/1/applab/v103/i11/p114105_s1 %D 2013 %L discovery1405990 %I AIP %N 11 %J Applied Physics Letters %C US %V 103 %A TP Millard %A M Endrizzi %A L Rigon %A F Arfelli %A RH Menk %A J Owen %A E Stride %A A Olivo %K x-ray imaging, phase contrast imaging, dark field imaging, microbubbles %X The use of microbubbles as a contrast agent for x-ray phase contrast imaging could both transform x-ray imaging into a “functional†modality and enable much needed monitoring of targeted drug delivery. To realize these benefits, it is essential to be able to quantify bubble concentration in a given tissue volume. We developed and validated a model that enables this to be achieved not only for phase-retrieved images obtained by processing multiple frames but also on “single-shot†images, a likely necessity in in-vivo implementations. Our experimental validation was based on analyzer-based imaging, but extension to other phase-based modalities is straightforward.