A comprehensive study of the use of temporal moments in time-resolved diffuse optical tomography: part I. Theoretical material.

Abstract:

:The problem of fluorescence diffuse optical tomography consists in localizing fluorescent markers from near-infrared light measurements. Among the different available acquisition modalities, the time-resolved modality is expected to provide measurements of richer information content. To extract this information, the moments of the time-resolved measurements are often considered. In this paper, a theoretical analysis of the moments of the forward problem in fluorescence diffuse optical tomography is proposed for the infinite medium geometry. The moments are expressed as a function of the source, detector and markers positions as well as the optical properties of the medium and markers. Here, for the first time, an analytical expression holding for any moments order is mathematically derived. In addition, analytical expressions of the mean, variance and covariance of the moments in the presence of noise are given. These expressions are used to demonstrate the increasing sensitivity of moments to noise. Finally, the newly derived expressions are illustrated by means of sensitivity maps. The physical interpretation of the analytical formulae in conjunction with their map representations could provide new insights into the analysis of the information content provided by moments.

journal_name

Phys Med Biol

authors

Ducros N,Hervé L,Da Silva A,Dinten JM,Peyrin F

doi

10.1088/0031-9155/54/23/004

subject

Has Abstract

pub_date

2009-12-07 00:00:00

pages

7089-105

issue

23

eissn

0031-9155

issn

1361-6560

pii

S0031-9155(09)18757-2

journal_volume

54

pub_type

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