A comparison of noninvasive reconstruction of epicardial versus transmembrane potentials in consideration of the null space

IEEE Transactions on Bio-medical Engineering
Bernd MessnarzBernhard Tilg

Abstract

We compare two source formulations for the electrocardiographic forward problem in consideration of their implications for regularizing the ill-posed inverse problem. The established epicardial potential source model is compared with a bidomain-theory-based transmembrane potential source formulation. The epicardial source approach is extended to the whole heart surface including the endocardial surfaces. We introduce the concept of the numerical null and signal space to draw attention to the problems associated with the nonuniqueness of the inverse solution and show that reconstruction of null-space components is an important issue for physiologically meaningful inverse solutions. Both formulations were tested with simulated data generated with an anisotropic heart model and with clinically measured data of two patients. A linear and a recently proposed quasi-linear inverse algorithm were applied for reconstructions of the epicardial and transmembrane potential, respectively. A direct comparison of both formulations was performed in terms of computed activation times. We found the transmembrane potential-based formulation is a more promising source formulation as stronger regularization by incorporation of biophysical a priori ...Continue Reading

References

Nov 1, 1985·IEEE Transactions on Bio-medical Engineering·Y Yamashita, D B Geselowitz
Oct 1, 1984·IEEE Transactions on Bio-medical Engineering·J J Cuppen, A van Oosterom
Jan 1, 1983·Annals of Biomedical Engineering·D B Geselowitz, W T Miller
Jun 1, 1997·IEEE Transactions on Bio-medical Engineering·G Huiskamp, F Greensite
Jan 28, 1998·IEEE Transactions on Bio-medical Engineering·F Greensite, G Huiskamp
Apr 3, 1998·Annals of Biomedical Engineering·G F AhmadR S MacLeod
Jan 27, 1999·IEEE Transactions on Bio-medical Engineering·D H BrooksG M Maratos
Oct 25, 2000·Circulation·J E BurnesY Rudy
Jan 6, 2001·Annals of Biomedical Engineering·G FischerP Wach
Mar 6, 2002·IEEE Transactions on Bio-medical Engineering·Gerald FischerPaul Wach
Oct 11, 2002·IEEE Transactions on Bio-medical Engineering·Robert ModrePaul Wach
Feb 5, 2003·IEEE Transactions on Medical Imaging·Bernhard TilgFranz Xaver Roithinger
Mar 6, 2003·IEEE Transactions on Bio-medical Engineering·Leo K ChengAndrew J Pullan
Oct 17, 2003·IEEE Transactions on Bio-medical Engineering·Fred Greensite
Feb 10, 2004·IEEE Transactions on Bio-medical Engineering·Bernd MessnarzFriedrich Hanser

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Citations

Sep 13, 2011·Journal of Electrocardiology·Jana SvehlikovaRoman Maniewski
Jun 13, 2009·Mathematical Biosciences·Bjørn Fredrik NielsenAslak Tveito
Apr 9, 2008·IEEE Transactions on Bio-medical Engineering·Guofa ShouStuart Crozier
Mar 27, 2013·IEEE Transactions on Medical Imaging·Bjørn Fredrik NielsenPer Grøttum
Jun 19, 2009·IEEE Transactions on Bio-medical Engineering·Dafang WangChris R Johnson
Mar 11, 2009·IEEE Transactions on Bio-medical Engineering·Mingfeng JiangStuart Crozier
Sep 1, 2006·IEEE Transactions on Bio-medical Engineering·Alireza GhodratiRobert S MacLeod
Sep 1, 2006·IEEE Transactions on Bio-medical Engineering·Fred Greensite
Apr 4, 2009·IEEE Transactions on Bio-medical Engineering·Tomas Syrstad RuudJoakim Sundnes
Mar 9, 2011·IEEE Transactions on Bio-medical Engineering·Dafang WangChris R Johnson
Apr 22, 2015·Netherlands Heart Journal : Monthly Journal of the Netherlands Society of Cardiology and the Netherlands Heart Foundation·M J M CluitmansP G A Volders
Sep 8, 2011·Physics in Medicine and Biology·Liansheng WangPheng Ann Heng

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