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A 3D Model-based Simulation of the Electric Field During Cochlear Stimulation

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HAL Id: hal-01103374

https://hal.inria.fr/hal-01103374

Submitted on 14 Jan 2015

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A 3D Model-based Simulation of the Electric Field During Cochlear Stimulation

Kai Dang, Maureen Clerc, Jonathan Laudanski

To cite this version:

Kai Dang, Maureen Clerc, Jonathan Laudanski. A 3D Model-based Simulation of the Electric Field During Cochlear Stimulation. 8th International Symposium on Objective Measures in Auditory Im- plants, Oct 2014, Toronto, Canada. �hal-01103374�

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A 3D Model-based Simulation of the Electric Field During Cochlear Stimulation

Validation

Acknowledgements

Kai Dang 1,2 , Maureen Clerc 2 , Jonathan Laudanski 1

1 Oticon Medical - Neurelec, Vallauris, France; 2 Athena project - team, Inria Sophia Antipolis - Méditerranée, France

Results: Electric Field Simulation

k 2

k 4

k 3

k 1

h

w α

Key Points and Cross-Sections

Scala tympani Auditory nerve fiber

α: Tilt angle measured at the geometric center[3]

w & h: Width and height of the scala tympani[3]

k1: Start point of the auditory nerve fibers (Organ of Corti)

k2: Position of the auditory nerve fibers entering the modiolus

k3: Estimated center of the Rosenthal's canal k4: End point of the simulated nerve fibers.

The validation was made by comparing simulation results with the actual intra cochlear potentials measured from an implanted EVO electrode array in the cochlea of a human specimen.

Stimulation waveforms with typical durations and amplitudes were sent to the electrodes. The potential waveforms on all the 20 electrodes were recorded during each stimulation at 5MHz sampling rate and ±2V, 16bit amplitude quantization. After the measurements, a micro-CT scan was performed on the human specimen to get the positioning of the implanted array. In this experiment, electrode 1 and 2 were found not inserted into the scala tympani.

Results of comparison are shown in the plots. The dots on the red plot represents the potential value measured from the electrodes. The measured potentials are multiplied by a constant to fit the amplitude of simulation results.

The goal of research is to acquire an accurate description of the electric field inside an implanted cochlea through validated 3D numerical simulations. The simulation process should accommondate different cochlear geometries and stimulation patterns. Results from this simulation tool will be used to design better personalized cochlear implants with less energy consumptions in the future.

The input for a electric field simulation

1

is a vector of the current intensities on each electrode of the implanted array.

The outputs are the electric potentials at the position of the measure points and on the electrodes.

The total number of the simulated auditory nerve fibers is 200. To have a clearer view of their trajectories, 1/4 of them are visualized as red lines. Each dot on the line represents a simulated measure point of the electric potential.

Results: 3D Cochlear Model

The following images show a 3D cochlear model created with the parameters given before. Different parts in the model are marked out by colors: scala tympani and scala vestibuli (light green), electrode array (light blue), metal electrodes (dark blue) and the nerve tissue (yellow).

The electric potential distribution shown in the plots is the simulation result of a bipolar stimulation on the 12th and 13th electrodes of the electrode array. The conducitvity information of the cochlear tissues is from ref [4].

This work is partly funded by ANRT and Oticon Medical - Neurelec.

We thank Nicolas Guevara and Clair Vandersteen for preparing the human specimen and preforming the implantation in the validation experiment, and Dan Gnansia, who took over the project coordination after Jonathan had left us.

We will always remember Jonathan Laudanski, who initiated this project, and continue working on the researches he had started.

The comparisons show a good match between the simulation output and the measurements. This validation experiment is unique because it was performed on a human specimen. Its full analysis will allow to further adapt the 3D cochlear stimulation model to actual patient geometry and physiology.

0 0.5 1 1.5 2 2.5

−8

−6

−4

−2 0 2 4 6 8

Comparison of Bipolar Stimulation

Cochlear Turns

Electric Potential

simulation results measurements

0 0.5 1 1.5 2 2.5

4 6 8 10 12 14 16

Comparison of Monopolar Stimulation

Cochlear Turns

Electric Potential

measurements simulation results

0 0.5 1 1.5 2 2.5

−1

−0.5 0 0.5 1 1.5 2 2.5 3 3.5

Comparison of Tripolar Stimulation

Cochlear Turns

Electric Potential

simulation results measurements

stimulating from electrode 6

stimulating from

electrode 17 and 18 stimulating from

electrode 5, 6 and 7

References

[1] A. Gramfort et al. "OpenMEEG: opensource soufware for quasistatic bioelectromagnetics", Biomedical Engineering, 2010

[2] L. Cohen et al. "Improved and simplified methods for specifying positions of the electrode bands of a cochlear implant array", Otology & Neurotology, 1996

[3] J. Clark et al. "A scalable model for human scala tympani phantoms", Journal of Medical Devices, 2011 [4] J. Briaire et al. "Field patterns in a 3D tapered spiral model of the electrically stimulated cochlea", Hearing Research, 2000

3D electric potential distribution 2D electric potential distribution on auditory nerve fibers

Index of simulated nerve fiber

Index of measure point

20 40 60 80 100 120 140 160 180 200

10

20

30 40

50

0 0.5 1 1.5 2 2.5

−5 0

5 Potential distributions along different tracks inside cochlea

Cochlear Turns

Electric Potential

scala tympani spiral ganglion

axons in the modiolus

3D cochlear model

Parametric Cochlear Modeling

What is the parametric model?

Parametric equations

A set of equations describing the central line of the scala tympani / scala vestibuli in a cylindrical coordinate system[2]:

Parameter values:

Why parametric?

Easier and faster 3D reconstruction from biomedical images, with the potential of achieving automatic reconstruction.

Guarantees a derivable mesh surface. This criterion is required to adopt Symmetric BEM (implemented in OpenMEEG[1]) as the simulation algorithm, which has better accuracy than FEM and other BEMs.

Enables the sensitivity analysis in cochlear geometry, electrode positioning and conductivity changes, through the fine tuning of the parameters.

In the following sections, the electrode array used for simulation is the EVO electrode

EVO electrode array

array produced by Oticon Medical - Neurelec, which is a straight array with 25mm length and 20 cylindrical electrodes.

Electrode Array Description Introduction

Coordinates of key points

The cross-sections at different positions of the cochlea are determined by key points, which can be acquired through manual measurment or image processing.

The electrode array description includes the length and diameter of the array itself, and

the layout and shape of its electrodes.

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