Testing Jump-Diffusion in Epileptic Brain Dynamics: Impact of Daily Rhythms

Area of Science:

• Neuroscience
• Complex Systems
• Dynamical Systems Theory

Background:

• Stochastic approaches offer insights into spatial-temporal aspects of epileptic brain dynamics.
• Higher-order Kramers-Moyal coefficients improve differentiation between physiological and pathophysiological brain states.
• The impact of endogenous and exogenous factors on stochastic qualifiers of brain dynamics is not well understood.

Purpose of the Study:

• To investigate the influence of endogenous and exogenous factors on stochastic qualifiers of brain dynamics.
• To determine the extent to which stochastic qualifiers are affected by external rhythms and internal states.

Main Methods:

• Analysis of multi-day, multi-channel electroencephalographic (EEG) recordings from an epilepsy subject.
• Application of a criterion to differentiate between Langevin-type and jump-diffusion processes.
• Assessment of changes in the qualified stochastic process describing brain dynamics over time.

Main Results:

• The type of stochastic process best describing brain dynamics was observed to change over time.
• Stochastic qualifiers of brain dynamics were significantly affected by endogenous and exogenous rhythms.
• Influences were observed across various time scales, from hours to days.

Conclusions:

• Stochastic qualifiers of epileptic brain dynamics are sensitive to time-varying endogenous and exogenous influences.
• These findings necessitate consideration of external forcings when modeling epileptic brain evolution or other complex dynamical systems.
• Understanding these influences is crucial for accurate characterization and modeling of brain dynamics.