Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory
MathematicS In Action, Volume 12 (2023) no. 1, pp. 117-134.

For many years, voltage sensitive dye imaging (VSDI) has enabled the fruitful analysis of neuronal transmission by monitoring the spreading of neuronal signals. Although useful, the display of diffusion of neuronal depolarization provides insufficient information in the quest for a greater understanding of neuronal computation in brain function. Here, we propose the optimal mass transportation theory as a model to describe the dynamics of neuronal activity. More precisely, we use the solution of an L 2 -Monge–Kantorovich problem to model VSDI data, to extract the velocity and overall orientation of depolarization spreading in anatomically defined brain areas. The main advantage of this approach over earlier models (e.g. optical flow) is that the solution does not rely on intrinsic approximations or on additional arbitrary parameters, as shown from simple signal propagation examples. As proof of concept application of our model, we found that in the mouse hippocampal CA1 network, increasing Schaffers collaterals stimulation intensity leads to an increased VSDI-recorded depolarization associated with dramatic decreases in velocity and divergence of signal spreading. In addition, the pharmacological activation of cannabinoid type 1 receptors (CB1) leads to slight but significant decreases in neuronal depolarization and velocity of signal spreading in a region-specific manner within the CA1, indicating the reliability of the approach to identify subtle changes in circuit activity. Overall, our study introduces a novel approach for the analysis of optical imaging data, potentially highlighting new region-specific features of neuronal networks dynamics.

Published online:
DOI: 10.5802/msia.34
Classification: 00X99
Keywords: Hippocampus, VSDI, Optimal mass transportation problem, data analysis, CA1 network
Michelangelo Colavita 1; Afaf Bouharguane 2; Andrea Valenti 2; Geoffrey Terral 3; Mark W. Sherwood 4; Clement E. Lemercier 3; Fabien Gibergues 2; Marion Doubeck 2; Filippo Drago 5; Giovanni Marsicano 3; Angelo Iollo 2; Federico Massa 3

1 INSERM U1215, NeuroCentre Magendie, Team “Endocannabinoids and Neuroadaptation”, Bordeaux, France and Université de Bordeaux, Bordeaux, France and University of Catania, Biometec Department of Biomedical and Biotechnological Sciences, Catania, Italy
2 Université de Bordeaux, Bordeaux, France and Institut de Mathématiques de Bordeaux UMR 5251 and INRIA Bordeaux-Sud Ouest, Talence, France
3 INSERM U1215, NeuroCentre Magendie, Team “Endocannabinoids and Neuroadaptation”, Bordeaux, France and Université de Bordeaux, Bordeaux, France
4 Université de Bordeaux, Bordeaux, France
5 University of Catania, Biometec Department of Biomedical and Biotechnological Sciences, Catania, Italy
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {Quantitative assessment of hippocampal network dynamics by combining {Voltage} {Sensitive} {Dye} {Imaging} and {Optimal} {Transportation} {Theory}},
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Michelangelo Colavita; Afaf Bouharguane; Andrea Valenti; Geoffrey Terral; Mark W. Sherwood; Clement E. Lemercier; Fabien Gibergues; Marion Doubeck; Filippo Drago; Giovanni Marsicano; Angelo Iollo; Federico Massa. Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory. MathematicS In Action, Volume 12 (2023) no. 1, pp. 117-134. doi : 10.5802/msia.34. https://msia.centre-mersenne.org/articles/10.5802/msia.34/

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