An approach to determining the epicenter of a traveling wave with an inhomogeneous distribution of braking effects

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Abstract

The purpose of this study is to develop a method for determining the epicenter of a traveling wave of electrical activity in the human cortex, taking into account the heterogeneous distribution of inhibitory effects. For this purpose, a mathematical model of an Amari-type neural field is used, which allows taking into account the directional variability of the travelling wave velocity. Within the framework of the hypothesis of radially asymmetric wave propagation, an algorithm has been developed that includes numerical simulation of the wave process, approximation of experimental data, and minimization of the error functional. The main result of the work is to clarify the position of the epicenter of the wave based on a comparison of calculated and experimental MEG data.

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About the authors

I. N. Malkov

University of Tyumen

Author for correspondence.
Email: i.n.malkov@yandex.ru

Postgraduate Student

Russian Federation, Tyumen

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Supplementary files

Supplementary Files
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2. Figure 1. Conceptual diagram of the s parameter distribution method

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3. Figure 2. Set of candidate vertices

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4. Figure 3. Set of filtered candidate vertices

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5. Figure 4. Gradient of the error distribution: cross is the estimated epicenter, circle is the epicenter found using model (1)

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6. Figure 5. Comparison of experimental EEG data (a) with simulation results (b) with a duration of 100 ms

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7. Figure 6. Optimally reconstructed s parameters (bar heights and captions) from the experimental data for each sector

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8. Figure 7. Optimally reconstructed c velocities (bar heights and captions) from the experimental data for each sector

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