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Sunday, July 19 • 7:00pm - 8:00pm
P174: Modal-Polar Representation of Evoked Response Potentials

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Rawan El-Zghir, Natasha Gabay, Peter Robinson

Event related potentials (ERPs) have grabbed the attention of neuroscientists as significant voltage fluctuations of the brain after a visual, auditory, or sensory stimulation to the nervous system. ERPs are key elements for investigating cognitive features and signal processing of the brain. To predict ERPs corresponding to distinct arousal states, we use a corticothalamic neural field theory which contains physiologically based parameters corresponding to different physical quantities. Within this framework, ERPs depend on transcendental equations which are not analytically tractable. We approximate the temporal transfer function in terms of poles or resonances to derive formulas for the ERP which greatly simplify their analytic forms. The dominant resonances of the system correspond to slow frequency, alpha, and beta frequencies. Our calculations are based on contour integration via the Cauchy-residue theorem that allows us to find explicit expressions for the ERP in terms of real and imaginary parts of the residues and poles. For each arousal state, we isolate the different resonances of the system and find that the wake eyes-closed state is distinguished by a more prominent alpha resonance compared to the eyes open wake state, as expected. We found that 5 poles are sufficient to study the main dynamics of the system in the awake eyes-close case (with around 4 % accuracy at the alpha peak) and for the awake eyes-open case (with around 3 % accuracy at the alpha peak). Similarly, we found that 6 poles are sufficient to reproduce ERPs corresponding to REM, S1, and S2 sleep stages, whereas only 4 poles are sufficient to study the dynamics of deepest sleep stage (slow wave sleep). This framework provides a physiologically-based tool which predicts ERPs corresponding to a given transfer function.

avatar for Rawan El-Zghir

Rawan El-Zghir

The University of Sydney

Sunday July 19, 2020 7:00pm - 8:00pm CEST
Slot 14