# Hippocampal Spike-Timing Correlations Lead to Hexagonal Grid Fields

## TL;DR

This paper presents a theory linking hippocampal spike-timing correlations to the formation of hexagonal grid fields through spike-timing-dependent plasticity and pattern formation dynamics.

## Contribution

It introduces a novel model explaining how temporal spike correlations transform into spatial grid patterns via synaptic plasticity and pattern formation mechanisms.

## Key findings

- Hexagonal grid patterns emerge under specific parameter regimes.
- Spike-timing-dependent plasticity can produce spatial firing fields.
- The model aligns with observed grid cell patterns in medial entorhinal cortex.

## Abstract

Space is represented in the mammalian brain by the activity of hippocampal place cells as well as in their spike-timing correlations. Here we propose a theory how this temporal code is transformed to spatial firing rate patterns via spike-timing-dependent synaptic plasticity. The resulting dynamics of synaptic weights resembles well-known pattern formation models in which a lateral inhibition mechanism gives rise to a Turing instability. We identify parameter regimes in which hexagonal firing patterns develop as they have been found in medial entorhinal cortex.