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FEM-based volume estimation using electrode catheter measurements Cover

FEM-based volume estimation using electrode catheter measurements

Open Access
|Jun 2026

Figures & Tables

Figure 1:

Close-up of a section of the catheter, with a conceptual drawing of a single 4 electrode measurement. All electrode combinations with both measurement electrodes inside of the injection electrodes are considered.

Figure 2:

Normalized sensitivity of the measurements. Sorted by three different parameters: LVV (left), blood conductivity (center), catheter offset (right).

Figure 3:

High-level overview of the FEM-based estimation algorithm using intracardiac admittance measurements.

Figure 4:

Experimental setup; CAD drawing of phantom model phantom (top); Real phantom submerged in NaCl solution (bottom).

Figure 5:

Residual norm as a function of volume for the physiological simulation with a true volume of 70 mL: comparison of all 210 measurements, the reduced set of 19 measurements, and the reduced set with added noise.

Figure 6:

Residual map for the simulation using the reduced set of 19 measurements; the true parameter combination is marked in red, and four Gauss–Newton iteration trajectories from different initial guesses are overlaid.

Figure 7:

Estimated volume over actual volume of the phantom experiment for the full set of 210 measurements and the reduced set of 19 measurements.

Figure 8:

Estimated volume for the joint volume and offset estimation in the phantom. Full measurement set of 210 measurements and the reduced set of 19 measurements.
Language: English
Page range: 44 - 51
Submitted on: Apr 27, 2026
Published on: Jun 17, 2026
Published by: University of Oslo
In partnership with: Paradigm Publishing Services

© 2026 Daniel Voss, Jöran Rixen, Steffen Leonhardt, Marian Walter, published by University of Oslo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.