Tricoli, U;
Macdonald, CM;
Durduran, T;
Markel, V;
Da Silva, A;
(2018)
Diffuse correlation tomography in the transport regime: A theoretical study of the sensitivity to Brownian motion.
Physical Review E
, 97
, Article 022408. 10.1103/PhysRevE.97.022408.
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Abstract
Diffuse correlation tomography (DCT) uses the electric-field temporal autocorrelation function to measure the mean-square displacement of light-scattering particles in a turbid medium over a given exposure time. The movement of blood particles is here estimated through a Brownian-motion-like model in contrast to ordered motion as in blood flow. The sensitivity kernel relating the measurable field correlation function to the mean-square displacement of the particles can be derived by applying a perturbative analysis to the correlation transport equation (CTE). We derive an analytical expression for the CTE sensitivity kernel in terms of the Green’s function of the radiative transport equation, which describes the propagation of the intensity. We then evaluate the kernel numerically. The simulations demonstrate that, in the transport regime, the sensitivity kernel provides sharper spatial information about the medium as compared with the correlation diffusion approximation. Also, the use of the CTE allows one to explore some additional degrees of freedom in the data such as the collimation direction of sources and detectors. Our results can be used to improve the spatial resolution of DCT, in particular, with applications to blood flow imaging in regions where the Brownian motion is dominant.
| Type: | Article |
|---|---|
| Title: | Diffuse correlation tomography in the transport regime: A theoretical study of the sensitivity to Brownian motion |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.97.022408 |
| Publisher version: | http://doi.org/10.1103/PhysRevE.97.022408 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10049739 |
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