Diffusion Based Modeling of Human Brain Response to External Stimuli

TL;DR

This paper presents a novel fractional diffusion equation model for human EEG responses to external stimuli, demonstrating strong agreement with real signals and advancing mathematical understanding of brain activity.

Contribution

It introduces a new fractional diffusion-based mathematical model for human brain response to external stimuli, filling a gap in existing neuropsychological modeling.

Findings

Model accurately replicates real EEG signals

Fractional diffusion equation effectively captures brain response dynamics

Potential for improved brain activity monitoring

Abstract

Human brain response is the overall ability of the brain in analyzing internal and external stimuli in the form of transferred energy to the mind/brain phase-space and thus, making the proper decisions. During the last decade scientists discovered about this phenomenon and proposed some models based on computational, biological, or neuropsychological methods. Despite some advances in studies related to this area of the brain research there was less effort which have been done on the mathematical modeling of the human brain response to external stimuli. This research is devoted to the modeling of human EEG signal, as an alert state of overall human brain activity monitoring, due to receiving external stimuli, based on fractional diffusion equation. The results of this modeling show very good agreement with the real human EEG signal and thus, this model can be used as a strong representative of the human brain activity.