# High-order couplings in geometric complex networks of neurons

## TL;DR

This paper investigates how adding higher-order interactions in a geometric network of Morris-Lecar neurons enhances traveling synchronization waves, potentially modeling neuroglial network behavior without causing full synchronization.

## Contribution

It introduces higher-order dynamical interactions into neural networks and analyzes their effects on wave propagation and synchronization.

## Key findings

- Higher-order interactions enhance traveling wave propagation.
- These interactions prevent pathological full synchronization.
- The scheme models neuroglial network dynamics.

## Abstract

We explore the consequences of introducing higher-order interactions in a geometric complex network of Morris-Lecar neurons. We focus on the regime where travelling synchronization waves are observed out of a first-neighbours based coupling, to evaluate the changes induced when higher-order dynamical interactions are included. We observe that the travelling wave phenomenon gets enhanced by these interactions, allowing the information to travel further in the system without generating pathological full synchronization states. This scheme could be a step towards a simple modelization of neuroglial networks.