Propagation and stability of waves of electrical activity in the cerebral ‎cortex‎

علی‌نژاد, حسن and حراره, آتنا and نعمتی اندواری, مسعود Propagation and stability of waves of electrical activity in the cerebral ‎cortex‎. In: 10th conference on statistical physics, soft condenced matter and complex systems, 2018. (Submitted)

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Abstract

In this paper, ‎nonlinear ‎continuum‎ equations are introduced to model the behavior of cortical electrical ‎activity by Robinson’s model‎ which‎‎‎ incorporate nonlinearities, axonal and dendritic lags, excitatory and inhibitory neuronal ‎populations. By ‎using ‎these ‎equations‎‎, we‎ derive ‎d‎‎ispersion relation for linear waves ‎and by analyzing the dispersion relation we will show that the stability of the fixed point of this complex system are related to the physiological parameters of the brain. Furthermore, by studying numerically the normal activity state in cortex, we will show that in these conditions all neurons fire at rates far below their physiological limits.

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