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Inverse Problems in Bioluminescence ...

Yang, Tianyu,

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Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation // Tianyu Yang.
Author:	Yang, Tianyu,
Description:	1 electronic resource (120 pages)
Notes:	Source: Dissertations Abstracts International, Volume: 85-10, Section: B.
Contained By:	Dissertations Abstracts International85-10B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31140143
ISBN:	9798382309699

Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation /
Yang, Tianyu,

Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation /Tianyu Yang. - 1 electronic resource (120 pages)

Source: Dissertations Abstracts International, Volume: 85-10, Section: B.

Ultrasound modulated bioluminescence tomography (UMBLT) is a technique for imaging the 3D distribution of biological objects such as tumors by using a bioluminescent source as a biomedical indicator. It uses bioluminescence tomography (BLT) with a series of perturbations caused by acoustic vibrations. UMBLT outperforms BLT in terms of spatial resolution. The current UMBLT algorithm in the transport regime requires measurement at every boundary point in all directions, and reconstruction is computationally expensive. In Chapter 2, we will first introduce the UMBLT model in both the diffusive and transport regimes, and then formulate the image reconstruction problem as an inverse source problem using internal data. Second, we present an improved UMBLT algorithm for isotropic sources in the transport regime. Third, we generalize an existing UMBLT algorithm in the diffusive regime to the partial data case and quantify the error caused by uncertainties in the prescribed optical coefficients.The inverse boundary value problem (IBVP) of wave equation aims to recover medium distribution via boundary measurement of wave propagation. Using an important identity that connects boundary data and internal wave states, one can recover the medium's interior structure by selecting suitable boundary sources. In Chapter 3, we will first introduce the IBVP and the key identity. Second, we present a direct wave speed reconstruction algorithm with vanished wave potential. Third, we apply linearization on IBVPs to derive algorithms with nonvanishing parameters for both wave speed and wave potential reconstruction.

English

ISBN: 9798382309699Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Bioluminescence tomography

Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation /
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100 1 $a Yang, Tianyu, $e author. $3 3820922
245 1 0 $a Inverse Problems in Bioluminescence Tomography and Wave Imaging: Theory, Algorithm and Implementation / $c Tianyu Yang.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 1 electronic resource (120 pages)
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338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 85-10, Section: B.
500 $a Advisors: Yang, Yang Y. Committee members: Qian, Jianliang J.; Qiu, Zhen Z.; Alessio, Adam A.
502 $b Ph.D. $c Michigan State University $d 2024.
520 $a Ultrasound modulated bioluminescence tomography (UMBLT) is a technique for imaging the 3D distribution of biological objects such as tumors by using a bioluminescent source as a biomedical indicator. It uses bioluminescence tomography (BLT) with a series of perturbations caused by acoustic vibrations. UMBLT outperforms BLT in terms of spatial resolution. The current UMBLT algorithm in the transport regime requires measurement at every boundary point in all directions, and reconstruction is computationally expensive. In Chapter 2, we will first introduce the UMBLT model in both the diffusive and transport regimes, and then formulate the image reconstruction problem as an inverse source problem using internal data. Second, we present an improved UMBLT algorithm for isotropic sources in the transport regime. Third, we generalize an existing UMBLT algorithm in the diffusive regime to the partial data case and quantify the error caused by uncertainties in the prescribed optical coefficients.The inverse boundary value problem (IBVP) of wave equation aims to recover medium distribution via boundary measurement of wave propagation. Using an important identity that connects boundary data and internal wave states, one can recover the medium's interior structure by selecting suitable boundary sources. In Chapter 3, we will first introduce the IBVP and the key identity. Second, we present a direct wave speed reconstruction algorithm with vanished wave potential. Third, we apply linearization on IBVPs to derive algorithms with nonvanishing parameters for both wave speed and wave potential reconstruction.
546 $a English
590 $a School code: 0128
650 4 $a Mathematics. $3 515831
650 4 $a Physics. $3 516296
650 4 $a Theoretical physics. $3 2144760
650 4 $a Optics. $3 517925
653 $a Bioluminescence tomography
653 $a Hybrid inverse problems
653 $a Boundary value problems
653 $a Inverse problems
653 $a Optical coefficients
653 $a Wave equation
690 $a 0405
690 $a 0752
690 $a 0753
690 $a 0605
710 2 $a Michigan State University. $b Computational Mathematics, Science and Engineering - Doctor of Philosophy. $e degree granting institution. $3 3817103
720 1 $a Yang, Yang Y. $e degree supervisor.
773 0 $t Dissertations Abstracts International $g 85-10B.
790 $a 0128
791 $a Ph.D.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31140143