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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 -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.
Colavita, Michelangelo 1 ; Bouharguane, Afaf 2 ; Valenti, Andrea 2 ; Terral, Geoffrey 3 ; Sherwood, Mark W. 4 ; Lemercier, Clement E. 3 ; Gibergues, Fabien 2 ; Doubeck, Marion 2 ; Drago, Filippo 5 ; Marsicano, Giovanni 3 ; Iollo, Angelo 2 ; Massa, Federico 3
CC-BY 4.0
@article{MSIA_2023__12_1_117_0,
author = {Colavita, Michelangelo and Bouharguane, Afaf and Valenti, Andrea and Terral, Geoffrey and Sherwood, Mark W. and Lemercier, Clement E. and Gibergues, Fabien and Doubeck, Marion and Drago, Filippo and Marsicano, Giovanni and Iollo, Angelo and Massa, Federico},
title = {Quantitative assessment of hippocampal network dynamics by combining {Voltage} {Sensitive} {Dye} {Imaging} and {Optimal} {Transportation} {Theory}},
journal = {MathematicS In Action},
pages = {117--134},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {12},
number = {1},
year = {2023},
doi = {10.5802/msia.34},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/msia.34/}
}
TY - JOUR AU - Colavita, Michelangelo AU - Bouharguane, Afaf AU - Valenti, Andrea AU - Terral, Geoffrey AU - Sherwood, Mark W. AU - Lemercier, Clement E. AU - Gibergues, Fabien AU - Doubeck, Marion AU - Drago, Filippo AU - Marsicano, Giovanni AU - Iollo, Angelo AU - Massa, Federico TI - Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory JO - MathematicS In Action PY - 2023 SP - 117 EP - 134 VL - 12 IS - 1 PB - Société de Mathématiques Appliquées et Industrielles UR - http://geodesic.mathdoc.fr/articles/10.5802/msia.34/ DO - 10.5802/msia.34 LA - en ID - MSIA_2023__12_1_117_0 ER -
%0 Journal Article %A Colavita, Michelangelo %A Bouharguane, Afaf %A Valenti, Andrea %A Terral, Geoffrey %A Sherwood, Mark W. %A Lemercier, Clement E. %A Gibergues, Fabien %A Doubeck, Marion %A Drago, Filippo %A Marsicano, Giovanni %A Iollo, Angelo %A Massa, Federico %T Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory %J MathematicS In Action %D 2023 %P 117-134 %V 12 %N 1 %I Société de Mathématiques Appliquées et Industrielles %U http://geodesic.mathdoc.fr/articles/10.5802/msia.34/ %R 10.5802/msia.34 %G en %F MSIA_2023__12_1_117_0
Colavita, Michelangelo; Bouharguane, Afaf; Valenti, Andrea; Terral, Geoffrey; Sherwood, Mark W.; Lemercier, Clement E.; Gibergues, Fabien; Doubeck, Marion; Drago, Filippo; Marsicano, Giovanni; Iollo, Angelo; Massa, Federico. Quantitative assessment of hippocampal network dynamics by combining Voltage Sensitive Dye Imaging and Optimal Transportation Theory. MathematicS In Action, Maths Bio, Tome 12 (2023) no. 1, pp. 117-134. doi: 10.5802/msia.34
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