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Strikingly, when applied to the brain-wide basal ganglia-thalamocortical network, DCM accurately reproduced the empirically observed time series, and the strongest connections were key connections of optogenetically stimulated pathways.
At the same time there has been an increasing realization that non-linear time series models provide much better representations of many empirically observed time series than linear models.
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This is achieved by imposing a constraint on overall travel time in the system, which represents the empirically observed fixed travel time budget (TTB) of individuals, and introducing a cost for infrastructural investments (travel time investment, TTI), which reduces the travel time of public transport.
In our simulations, the starting point of the T1 accumulator is initialized to the empirically observed activation level at the time the motion stimulus begins to affect activation (the "dip"), approximately 200 msec after motion onset.
We also assume that the reduction is kept constant across time, differently from the empirically observed decline that successively decreased to become negligible in about 3 months.
These models were inspired by empirically observed correlations between microsatellite allele size (the number of times the motif is repeated) and gene expression (see Elmore et al. 2012 for an experimental investigation of the functions that relate allele size and gene expression in Aspergillus flavus).
Empirically observed that more data reduces optimization error.
The shape of the predicted risk gradient was consistent with the empirically observed risk gradient, reflected by black and blue dots, respectively.
The resulting p-value of a cluster corresponds to the proportion of performed Monte Carlo iterations that exceed the summed t-values of the empirically observed cluster61,62.
To confirm that candidate scenarios were able to reproduce the observed genetic data, we compared the prior distributions of simulated summary statistics with the empirically observed values.
We observe that simulated transition probabilities between basins are statistically consistent with empirically observed transitions in resting state fMRI data.
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