Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes

Ammari, Habib; Garnier, Josselin; Giovangigli, Laure

doi:10.1090/S0033-569X-2013-01334-X

Authors: Habib Ammari, Josselin Garnier and Laure Giovangigli
Journal: Quart. Appl. Math. 72 (2014), 137-176
MSC (2010): Primary 35R30, 35B30
DOI: https://doi.org/10.1090/S0033-569X-2013-01334-X
Published electronically: November 20, 2013
MathSciNet review: 3185136
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Abstract: The aim of this paper is to provide a mathematical model for spatial distribution of membrane electrical potential changes by fluorescence diffuse optical tomography. We derive the resolving power of the imaging method in the presence of measurement noise. The proposed mathematical model can be used for cell membrane tracking with the resolution of the optical microscope.

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