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Excess entropies reveal higher organization levels in developing neuron cultures

Norbert Stoop, View ORCID ProfileRalph L. Stoop, Karlis Kanders, Ruedi Stoop
doi: https://doi.org/10.1101/2020.03.05.979310
Norbert Stoop
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139-4307, USA
2Institute of Building Materials, ETH Zürich, Stefano-Franscini-Platz 3, 8093 Zürich, Switzerland
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Ralph L. Stoop
3Institute of Neuroinformatics, University and ETH Zürich, Irchel Campus, Winterthurerstr. 190, 8057 Zürich, Switzerland
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  • ORCID record for Ralph L. Stoop
Karlis Kanders
2Institute of Building Materials, ETH Zürich, Stefano-Franscini-Platz 3, 8093 Zürich, Switzerland
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Ruedi Stoop
3Institute of Neuroinformatics, University and ETH Zürich, Irchel Campus, Winterthurerstr. 190, 8057 Zürich, Switzerland
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  • For correspondence: ruedi@ini.phys.ethz.ch
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Abstract

Multi-component systems often exhibit dynamics of a high degree of complexity, rendering it difficult to assess whether a proposed model’s description is adequate. For the multitude of systems that allow for a symbolic encoding, we provide a symbolic-dynamics based entropy measure that quantifies the degree of deviation obtained by a systems’s internal dynamics from random dynamics using identical average symbol probabilities. We apply this measure to several well-studied theoretical models and show its ability to characterize differences in internal dynamics, thus providing a means to accurately compare model and experiment. Data from neuronal cultures on a multi-electrode array chip validate the usefulness of our approach, revealing inadequacies of existing models and providing guidelines for their improvement. We propose our measure to be systematically used to develop future models and simulations.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY-NC-ND 4.0 International license.
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Posted March 06, 2020.
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Excess entropies reveal higher organization levels in developing neuron cultures
Norbert Stoop, Ralph L. Stoop, Karlis Kanders, Ruedi Stoop
bioRxiv 2020.03.05.979310; doi: https://doi.org/10.1101/2020.03.05.979310
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Excess entropies reveal higher organization levels in developing neuron cultures
Norbert Stoop, Ralph L. Stoop, Karlis Kanders, Ruedi Stoop
bioRxiv 2020.03.05.979310; doi: https://doi.org/10.1101/2020.03.05.979310

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