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Related Experiment Video

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Modeling the Functional Network for Spatial Navigation in the Human Brain
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TRACKING THE TOPOLOGY OF NEURAL MANIFOLDS ACROSS POPULATIONS.

Iris H R Yoon1, Gregory Henselman-Petrusek2, Yiyi Yu3

  • 1Department of Mathematics and Computer Science, Wesleyan University, 265 Church Street Middletown, CT 06459.

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We developed a new method to compare neural population structures across brain regions. This technique, the method of analogous cycles, identifies shared patterns in neural activity for better cross-brain analysis.

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Area of Science:

  • Neuroscience
  • Computational Neuroscience
  • Systems Neuroscience

Background:

  • Neural manifolds represent information encoded by neuronal populations.
  • Simultaneous recordings from multiple brain regions are becoming more common.
  • Comparing nonlinear neural manifolds across populations is challenging.

Purpose of the Study:

  • To introduce a framework for matching topological features of neural manifolds across populations.
  • To enable robust and falsifiable comparisons of neural structures.
  • To provide a foundation for cross-population analysis.

Main Methods:

  • The method of analogous cycles (MAC) is introduced.
  • MAC uses dissimilarity matrices within and between neural populations.
  • The method is deterministic and does not rely on dimensionality reduction or optimization.

Main Results:

  • MAC correctly identifies shared circular coordinate systems across stimuli and neural manifolds.
  • The method successfully rejects non-intrinsic matching features.
  • Analysis of simulations and in vivo data validates the approach.

Conclusions:

  • The method of analogous cycles offers a robust way to compare neural manifolds.
  • This framework facilitates mathematical investigation and interpretation of neural activity.
  • MAC provides a foundation for a theory of cross-population analysis.