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

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

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...

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Bibliographic Details
Published in:Quarterly of applied mathematics Vol. 72; no. 1; pp. 137 - 176
Main Authors: AMMARI, HABIB, GARNIER, JOSSELIN, GIOVANGIGLI, LAURE
Format: Journal Article
Language:English
Published: Brown University 01-03-2014
American Mathematical Society
Subjects:
Boundary conditions
Cell membranes
Electric fields
Electric potential
Fluence
Fluorescence
Fourier coefficients
Imaging
Mathematics
Measurement resolution
Probability
Wavelengths
Resolving power
layer potential techniques
cell membrane
electric field
fluorescence diffuse optical tomography
cell tomography
stability and resolution analysis
imaging in complex media
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Summary: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.
ISSN:0033-569X
1552-4485
DOI:10.1090/S0033-569X-2013-01334-X