Figure 6.
- ID
- ZDB-FIG-230319-80
- Publication
- Chen et al., 2023 - Granger causality analysis for calcium transients in neuronal networks, challenges and improvements
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(A) Schematics for generating null models by randomly shuffling the data. The blue dots and curves correspond to the original data, the effect neuron fXand the cause neuron fY; the green ones are generated by random cyclic shuffling of the original fY(t), with gray rectangles indicating matching time points before and after the cyclic shuffle. (B) The probability density of the F-statistics of the bivariate Granger causality for an example experiment (dataset f3t2 from De Vico Fallani et al., 2014 with N = 10 neurons). Blue circles are computed using the smoothed Calcium signals, and the green crosses are computed using the null model generated with cyclic shuffles. The black curve is the F-distribution used in the naive discrimination of GC statistics, and the gray curve is the best fitted F-distribution, fitting an effective number of samples. The gray and the black dashed vertical lines indicate the significance threshold for Granger causality, using the original threshold and the fitted threshold, respectively. (C) Same as (B), for multivariate Granger causality analysis. (D) Comparison between the significant GC network for the experiment f3t2 using the naive vs. fitted F-statistics threshold. |