Complex Dynamics of Propagating Waves in a Two-Dimensional Neural Field.

Area of Science:

• Computational Neuroscience
• Theoretical Neuroscience

Background:

• Neural population activity often displays complex propagating waves.
• Understanding the formation mechanisms of these waves is crucial for neuroscience.

Purpose of the Study:

• To investigate the formation mechanisms of propagating waves in neural activity.
• To explore the role of recurrent excitatory and inhibitory inputs in a two-dimensional neural field model.

Main Methods:

• Systematic variation of recurrent excitatory and inhibitory inputs in a 2D neural field model.
• Analysis of dynamical activity states, including rotating and traveling waves.
• Application of time series analysis techniques like detrended fluctuation analysis.

Main Results:

• The model exhibits diverse dynamical states (localized, global waves) with increased excitation/inhibition.
• A bistable state was observed near transitions, with noise inducing spontaneous wave transitions.
• Multiple propagating waves showed rich collective dynamics with variable speeds and trajectories.

Conclusions:

• Excitation and inhibition strengths significantly influence neural wave dynamics.
• The findings provide insights into the generation of spatiotemporal wave phenomena in neural systems.
• The study highlights the role of bistability and noise in neural wave behavior.