Numerical approximation of bioluminescence tomography based on a new formulation

被引:6
作者
Cheng, Xiaoliang [1 ]
Gong, Rongfang [1 ]
Han, Weimin [2 ]
机构
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
关键词
Bioluminescence tomography; Finite-element methods; Inverse problem; IN-VIVO; OPTICAL TOMOGRAPHY; GENE-EXPRESSION; REPORTER GENE; CANCER; LIGHT;
D O I
10.1007/s10665-008-9246-y
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Bioluminescence tomography (BLT) is a promising new method in biomedical imaging. The BLT problem is an ill-posed inverse source problem, usually studied through a regularization technique. A new approach is proposed for solving the BLT problem based on an adjoint equation. Numerical examples show that the new formulation allows us to obtain accurate solutions.
引用
收藏
页码:121 / 133
页数:13
相关论文
共 39 条
[1]   Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system: a computer simulation feasibility study [J].
Alexandrakis, G ;
Rannou, FR ;
Chatziioannou, AF .
PHYSICS IN MEDICINE AND BIOLOGY, 2005, 50 (17) :4225-4241
[2]  
[Anonymous], 1971, OPTIMAL CONTROL SYST
[3]  
[Anonymous], 2001, Mathematical methods in image reconstruction
[4]   Optical tomography in medical imaging [J].
Arridge, SR .
INVERSE PROBLEMS, 1999, 15 (02) :R41-R93
[5]  
Atkinson K., 2005, Theoretical Numerical Analysis
[6]   Non-invasive imaging of dendritic cell migration in vivo [J].
Baumjohann, Dirk ;
Lutz, Manfred B. .
IMMUNOBIOLOGY, 2006, 211 (6-8) :587-597
[7]   Optical imaging of Renilla luciferase reporter gene expression in living mice [J].
Bhaumik, S ;
Gambhir, SS .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2002, 99 (01) :377-382
[8]   Imaging gene expression and endogenous molecular processes: Molecular imaging [J].
Blasberg, R .
JOURNAL OF CEREBRAL BLOOD FLOW AND METABOLISM, 2002, 22 (10) :1157-1164
[9]   Hyperspectral and multispectral bioluminescence optical tomography for small animal imaging [J].
Chaudhari, AJ ;
Darvas, F ;
Bading, JR ;
Moats, RA ;
Conti, PS ;
Smith, DJ ;
Cherry, SR ;
Leahy, RM .
PHYSICS IN MEDICINE AND BIOLOGY, 2005, 50 (23) :5421-5441
[10]   A new general mathematical framework for bioluminescence tomography [J].
Cheng, Xiaoliang ;
Gong, Rongfang ;
Han, Weimin .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2008, 197 (6-8) :524-535