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Preparation and Morphological Analysis of Chick Cranial Neural Crest Cell Cultures
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Grid Cells, Border Cells and Discrete Complex Analysis.

Yuri Dabaghian1

  • 1Department of Neurology, The University of Texas McGovern Medical School, 6431 Fannin St, Houston, TX 77030.

Biorxiv : the Preprint Server for Biology
|May 22, 2023
PubMed
Summary

We introduce border cells, neurons that fire at the edges of environments. This mechanism uses discrete complex analysis to explain how these cells signal navigational boundaries.

Area of Science:

  • Computational neuroscience
  • Mathematical physics

Background:

  • Grid cells are key to spatial navigation, exhibiting oscillatory firing patterns.
  • Existing models do not fully explain neurons that specifically signal environmental boundaries.

Conclusions:

  • Discrete complex analysis provides a robust framework for understanding border cells.
  • This approach unifies grid cell and border cell functions within a single mathematical framework.
  • The proposed model offers new insights into neural representations of space.

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