Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models
Small animal fluorescence-enhanced optical tomography has possibility for restructuring drug discovery and preclinical investigation of drug candidates. However, accurate modeling of photon propagation in small animals is critical to quantitatively obtain accurate tomographic images. The diffusi...
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doaj-9a7b3ac17ecc430ea720f10bcc509dd92020-11-24T22:32:06ZengUniversity Constantin Brancusi of Targu-JiuSurveys in Mathematics and its Applications1843-72651842-62982011-08-016 (2011)6788Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion modelsRanadhyr Roy0The University of Texas-Pan American, USASmall animal fluorescence-enhanced optical tomography has possibility for restructuring drug discovery and preclinical investigation of drug candidates. However, accurate modeling of photon propagation in small animals is critical to quantitatively obtain accurate tomographic images. The diffusion approximation is commonly used for biomedical optical diagnostic techniques in turbid large media where absorption is low compared to scattering system. Unfortunately, this approximation has significant limitations to accurately predict radiative transport in turbid small media and also in a media where absorption is high compared to scattering systems. A radiative transport equation (RTE) is best suited for photon propagation in human tissues. However, such models are quite expensive computationally. To alleviate the problems of the high computational cost of RTE and inadequacies of the diffusion equation in a small volume, we use telegrapher equation (TE) in the frequency domain for fluorescence-enhanced optical tomography problems. The telegrapher equation can accurately and efficiently predict ballistic as well as diffusion-limited transport regimes which could simultaneously exist in small animals. The accuracy of telegrapher-based model is tested by comparing with the diffusion-based model using stimulated data in a small volume. This work demonstrates the use of the telegrapher-based model in small animal optical tomography problems. http://www.utgjiu.ro/math/sma/v06/p05.pdfFluorescence-enhanced optical tomographySmall animals optical tomographyDiffusion equationRadiative transport equationTelegrapher equationHigh absorption |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ranadhyr Roy |
spellingShingle |
Ranadhyr Roy Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models Surveys in Mathematics and its Applications Fluorescence-enhanced optical tomography Small animals optical tomography Diffusion equation Radiative transport equation Telegrapher equation High absorption |
author_facet |
Ranadhyr Roy |
author_sort |
Ranadhyr Roy |
title |
Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models |
title_short |
Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models |
title_full |
Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models |
title_fullStr |
Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models |
title_full_unstemmed |
Fluorescence-enhanced optical tomography in small volume: Telegrapher and Diffusion models |
title_sort |
fluorescence-enhanced optical tomography in small volume: telegrapher and diffusion models |
publisher |
University Constantin Brancusi of Targu-Jiu |
series |
Surveys in Mathematics and its Applications |
issn |
1843-7265 1842-6298 |
publishDate |
2011-08-01 |
description |
Small animal fluorescence-enhanced optical
tomography has possibility for restructuring drug discovery and preclinical
investigation of drug candidates. However, accurate modeling of photon
propagation in small animals is critical to quantitatively obtain accurate
tomographic images. The diffusion approximation is commonly used for
biomedical optical diagnostic techniques in turbid large media where
absorption is low compared to scattering system. Unfortunately, this
approximation has significant limitations to accurately predict radiative
transport in turbid small media and also in a media where absorption is high
compared to scattering systems. A radiative transport equation (RTE) is best
suited for photon propagation in human tissues. However, such models are quite
expensive computationally. To alleviate the problems of the high computational
cost of RTE and inadequacies of the diffusion equation in a small volume, we
use telegrapher equation (TE) in the frequency domain for
fluorescence-enhanced optical tomography problems. The telegrapher equation
can accurately and efficiently predict ballistic as well as diffusion-limited
transport regimes which could simultaneously exist in small animals. The
accuracy of telegrapher-based model is tested by comparing with the
diffusion-based model using stimulated data in a small volume. This work
demonstrates the use of the telegrapher-based model in small animal optical
tomography problems. |
topic |
Fluorescence-enhanced optical tomography Small animals optical tomography Diffusion equation Radiative transport equation Telegrapher equation High absorption |
url |
http://www.utgjiu.ro/math/sma/v06/p05.pdf |
work_keys_str_mv |
AT ranadhyrroy fluorescenceenhancedopticaltomographyinsmallvolumetelegrapheranddiffusionmodels |
_version_ |
1725735091840221184 |