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Estimating cardiac active tension from wall motion—An inverse problem of cardiac biomechanics

Kovacheva, Ekaterina; Thämer, Laura; Fritz, Thomas; Seemann, Gunnar; Ochs, M.; Dössel, Olaf; Loewe, Axel

Abstract:
The contraction of the human heart is a complex process as a consequence of the interaction of internal and external forces. In current clinical routine, the resulting deformation can be imaged during an entire heart beat. However, the active tension development cannot be measured in vivo but may provide valuable diagnostic information. In this work, we present a novel numerical method for solving an inverse problem of cardiac biomechanics—estimating the dynamic active tension field, provided the motion of the myocardial wall is known. This ill‐posed non‐linear problem is solved using second order Tikhonov regularization in space and time. We conducted a sensitivity analysis by varying the fiber orientation in the range of measurement accuracy. To achieve RMSE <20% of the maximal tension, the fiber orientation needs to be provided with an accuracy of 10°. Also, variation was added to the deformation data in the range of segmentation accuracy. Here, imposing temporal regularization led to an eightfold decrease in the error down to 12%. Furthermore, non‐contracting regions representing myocardial infarct scars were introduced in the left ventricle and could be identified accurately in the inverse solution (sensitivity >0.95). ... mehr

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Verlagsausgabe §
DOI: 10.5445/IR/1000131234
Veröffentlicht am 08.04.2021
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Biomedizinische Technik (IBT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2021
Sprache Englisch
Identifikator ISSN: 2040-7939, 0748-8025, 1069-8299, 1099-0887, 1555-2047, 2040-7947
KITopen-ID: 1000131234
Erschienen in International Journal for Numerical Methods in Biomedical Engineering
Verlag Wiley
Seiten Art.-Nr.: e3448
Vorab online veröffentlicht am 19.02.2021
Nachgewiesen in Scopus
Web of Science
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