Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autor(en): Reips L, Burger M, Engbers R
Zeitschrift: Journal of Inverse and Ill-posed Problems
Verlag: WALTER DE GRUYTER GMBH
Jahr der Veröffentlichung: 2018
Band: 26
Heftnummer: 2
Seitenbereich: 185-200
ISSN: 0928-0219
eISSN: 1569-3945


Abstract

The aim of this paper is to discuss potential advances in PET kinetic models and direct reconstruction of kinetic parameters. As a prominent example we focus on a typical task in perfusion imaging and derive a system of transport-reaction-diffusion equations, which is able to include macroscopic flow properties in addition to the usual exchange between arteries, veins, and tissues. For this system we propose an inverse problem of estimating all relevant parameters from PET data. We interpret the parameter identification as a nonlinear inverse problem, for which we formulate and analyze variational regularization approaches. For the numerical solution we employ gradient-based methods and appropriate splitting methods, which are used to investigate some test cases.


FAU-Autoren / FAU-Herausgeber

Burger, Martin Prof. Dr.
Lehrstuhl für Angewandte Mathematik


Autor(en) der externen Einrichtung(en)
Federal University of Santa Catarina / Universidade Federal de Santa Catarina (UFSC)
Westfälische Wilhelms-Universität (WWU) Münster


Zitierweisen

APA:
Reips, L., Burger, M., & Engbers, R. (2018). Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model. Journal of Inverse and Ill-posed Problems, 26(2), 185-200. https://dx.doi.org/10.1515/jiip-2015-0016

MLA:
Reips, Louise, Martin Burger, and Ralf Engbers. "Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model." Journal of Inverse and Ill-posed Problems 26.2 (2018): 185-200.

BibTeX: 

Zuletzt aktualisiert 2019-17-01 um 12:53