Computational methods for optical molecular imaging

A new computational technique, the matched interface and boundary (MIB) method, is presented to model the photon propagation in biological tissue for the optical molecular imaging. Optical properties have significant differences in different organs of small animals, resulting in discontinuous coeffi...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Communications in numerical methods in engineering Jg. 25; H. 12; S. 1137 - 1161
Hauptverfasser: Chen, Duan, Wei, Guo-Wei, Cong, Wen-Xiang, Wang, Ge
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 01.12.2009
Wiley
Schlagworte:
Applied sciences
Artificial intelligence
Biological and medical sciences
computational techniques
Computer science; control theory; systems
Exact sciences and technology
Investigative techniques, diagnostic techniques (general aspects)
matched interface and boundary
Medical sciences
Miscellaneous. Technology
molecular imaging
optical diffusion equation
Pathology. Cytology. Biochemistry. Spectrometry. Miscellaneous investigative techniques
Pattern recognition. Digital image processing. Computational geometry
tomography
Discontinuity
Singularity
Difference scheme
Complex shape
Biological tissues
Topology
Experimental study
molecular imaging
Modeling
optical diffusion equation
Geometrical model
Finite element method
matched interface and boundary
Animal
Optical properties
Tomography
Medical imagery
computational techniques
Diffusion equation
Robustness
Localization
Finite difference method
ISSN:1069-8299, 1099-0887
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A new computational technique, the matched interface and boundary (MIB) method, is presented to model the photon propagation in biological tissue for the optical molecular imaging. Optical properties have significant differences in different organs of small animals, resulting in discontinuous coefficients in the diffusion equation model. Complex organ shape of small animal induces singularities of the geometric model as well. The MIB method is designed as a dimension splitting approach to decompose a multidimensional interface problem into one‐dimensional ones. The methodology simplifies the topological relation near an interface and is able to handle discontinuous coefficients and complex interfaces with geometric singularities. In the present MIB method, both the interface jump condition and the photon flux jump conditions are rigorously enforced at the interface location by using only the lowest‐order jump conditions. This solution near the interface is smoothly extended across the interface so that central finite difference schemes can be employed without the loss of accuracy. A wide range of numerical experiments are carried out to validate the proposed MIB method. The second‐order convergence is maintained in all benchmark problems. The fourth‐order convergence is also demonstrated for some three‐dimensional problems. The robustness of the proposed method over the variable strength of the linear term of the diffusion equation is also examined. The performance of the present approach is compared with that of the standard finite element method. The numerical study indicates that the proposed method is a potentially efficient and robust approach for the optical molecular imaging. Copyright © 2008 John Wiley & Sons, Ltd.
Bibliographie:ark:/67375/WNG-ZKJM7J4G-B
NIH - No. CA127189; No. EB001685; No. EB006036
istex:667835BD817412C58067774280EC715B5ECC300F
NSF - No. DMS-0616704
ArticleID:CNM1164
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.1164