Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

Guillaume Bal; Francis J. Chung; John C. Schotland

doi:10.1137/15M1026262

Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

Guillaume Bal, Francis J. Chung, John C. Schotland

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Citations (SciVal)

Abstract

We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equation (RTE). A controllability result for the RTE plays an essential role in the analysis.

Original language	English
Pages (from-to)	1332-1347
Number of pages	16
Journal	SIAM Journal on Mathematical Analysis
Volume	48
Issue number	2
DOIs	https://doi.org/10.1137/15M1026262
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016 Society for Industrial and Applied Mathematics.

Keywords

Control theory
Hybrid inverse problem
Inverse problem
Radiative transport equation
Ultrasound modulated bioluminescence tomography

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/15M1026262

Cite this

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title = "Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation",

abstract = "We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equation (RTE). A controllability result for the RTE plays an essential role in the analysis.",

keywords = "Control theory, Hybrid inverse problem, Inverse problem, Radiative transport equation, Ultrasound modulated bioluminescence tomography",

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AU - Chung, Francis J.

AU - Schotland, John C.

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AB - We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equation (RTE). A controllability result for the RTE plays an essential role in the analysis.

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KW - Hybrid inverse problem

KW - Inverse problem

KW - Radiative transport equation

KW - Ultrasound modulated bioluminescence tomography

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Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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