Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes-Reference-Cited by-同舟云学术

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

Published:2013-11-20 Issue:1 Volume:72 Page:137-176
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Ammari Habib,Garnier Josselin,Giovangigli Laure

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/2014-72-01/S0033-569X-2013-01334-X/S0033-569X-2013-01334-X.pdf

Reference40 articles.

1. M. Abramowitz and I. A. Stegun, \textsl{Handbook of Mathematical Functions}, National Bureau of Standards, Applied Mathematics Series, Vol. 55, 1964.

2. Reconstruction of small interface changes of an inclusion from modal measurements II: the elastic case;Ammari, Habib;J. Math. Pures Appl. (9),2010

3. Contemporary Mathematics,2011

4. A new optimal control approach for the reconstruction of extended inclusions;Ammari, Habib;SIAM J. Control Optim.,2013

5. Multistatic imaging of extended targets;Ammari, Habib;SIAM J. Imaging Sci.,2012

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics;SIAM/ASA Journal on Uncertainty Quantification;2020-01

2. A hybrid reconstruction approach for absorption coefficient by fluorescence photoacoustic tomography;Inverse Problems;2018-12-27

3. Inverse transport problems in quantitative PAT for molecular imaging;Inverse Problems;2015-11-30