Mathematical modeling of fluorescence diffuse optical imaging of cell membrane potential changes
Habib Ammari, Josselin Garnier, Laure Giovangigli

TL;DR
This paper develops a mathematical model for fluorescence diffuse optical tomography to image cell membrane potential changes, analyzing its resolving power amidst measurement noise, enabling high-resolution cell membrane tracking.
Contribution
It introduces a new mathematical framework for imaging membrane potential changes with resolution comparable to optical microscopes, accounting for measurement noise.
Findings
Derived the resolving power of the imaging method.
Validated the model's potential for high-resolution cell membrane tracking.
Analyzed the impact of measurement noise on imaging accuracy.
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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