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

Habib Ammari; Josselin Garnier; Laure Giovangigli

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

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

Habib Ammari
, Josselin Garnier
, Laure Giovangigli

PSL research University & IPSL
UPMC Université de Paris VI

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Pages (de - à)	137-176
Nombre de pages	40
journal	Quarterly of Applied Mathematics
Volume	72
Numéro de publication	1
Les DOIs	https://doi.org/10.1090/S0033-569X-2013-01334-X
état	Publié - 1 mars 2014

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

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title = "Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes",

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.",

keywords = "Cell membrane, Cell tomography, Electric field, Fluorescence diffuse optical tomography, Layer potential technique, Resolving power, Stability and resolution analysis",

author = "Habib Ammari and Josselin Garnier and Laure Giovangigli",

year = "2014",

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AU - Ammari, Habib

AU - Garnier, Josselin

AU - Giovangigli, Laure

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N2 - 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.

AB - 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.

KW - Cell membrane

KW - Cell tomography

KW - Electric field

KW - Fluorescence diffuse optical tomography

KW - Layer potential technique

KW - Resolving power

KW - Stability and resolution analysis

UR - https://www.scopus.com/pages/publications/84894816279

U2 - 10.1090/S0033-569X-2013-01334-X

DO - 10.1090/S0033-569X-2013-01334-X

M3 - Article

AN - SCOPUS:84894816279

SN - 0033-569X

VL - 72

SP - 137

EP - 176

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

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ER -

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

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