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In the present study we test the hypothesis on a radially asymmetric spread of evoked cortical traveling wave corresponding to the stimulation of the median nerve. We employ the theory of neural fields to derive a mathematical model of traveling waves where a parameter related to recurrent inhibitory connections in the neural field and, hence, the traveling wave speed are directionally dependent. We combine this model with the anatomical model of the subject cerebral cortex (obtained by MRI) for the reconstruction of the traveling wave corresponding to the experimental MEG and find the approximation error in the space of MEG sensors. We compare this result with the MEG simulation based on the assumption that the traveling wave spread is radially symmetric and demonstrate the advantage of the former modeling approach by assessing the results of the two approximations. We also illustrate the results of the two approximations by graphical presentation of the dynamics of electric potentials on the anatomical model of the subject neocortex.

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A Model of Travelling Waves in the Neural Medium with Directional Variability of Inhibitory Effects

  • 会议论文

  • 发表日期：

    2025年

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  • Ivan Malkov,
  • Evgenii Burlakov,
  • Vitaly Verkhlyutov,
  • Vadim Ushakov

摘要

In the present study we test the hypothesis on a radially asymmetric spread of evoked cortical traveling wave corresponding to the stimulation of the median nerve. We employ the theory of neural fields to derive a mathematical model of traveling waves where a parameter related to recurrent inhibitory connections in the neural field and, hence, the traveling wave speed are directionally dependent. We combine this model with the anatomical model of the subject cerebral cortex (obtained by MRI) for the reconstruction of the traveling wave corresponding to the experimental MEG and find the approximation error in the space of MEG sensors. We compare this result with the MEG simulation based on the assumption that the traveling wave spread is radially symmetric and demonstrate the advantage of the former modeling approach by assessing the results of the two approximations. We also illustrate the results of the two approximations by graphical presentation of the dynamics of electric potentials on the anatomical model of the subject neocortex.