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The two pRC features in the model were statistically highly significant (t-test yielding p-values of 1.81 10−5 and 0.0011 for Monogram and Erlangen predictions, respectively), but the resulting improvement in predictive performance, compared to the model without pRC, was marginal.
These earlier studies, with the notable exception of the last, have not asked the question of what intrinsic cellular and functional mechanisms might control the change between the two PRC classes in a given cell or in mathematical terms what might cause a transition from one bifurcation class to another.
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c: Cross-correlograms of the oscillators' output spike trains with one and two PRCs.
In Fig. 3c we can see that Δ and the third equivalent PRC can match the firing rate of the oscillator with two PRCs.
d: Cross-correlograms of the output spike train of the oscillator with two PRCs and a periodic spike train with the same mean frequency.
Normalization was done by dividing the bin spike counts between the total number of spikes in the output of the oscillator with two PRCs.
It seems reasonable that the output spikes of the oscillators with one and two PRCs would come at similar times, since they have similar rates and phase PDFs.
Figure 2 presents the results of substituting the two PRCs (varDelta _{mathrm{exc}}) and (varDelta _{mathrm{inh}}) by the equivalent PRC Δ. Simulations were performed for three cases, each corresponding to a column in Fig. 2.
The method presented above to obtain Δ is based on creating an oscillator with a single PRC that has the same phase PDF as the one with two PRCs.
To obtain an equivalent PRC we could take a more direct approach, again trying to ensure that the phases of the oscillators with one and two PRCs are often the same.
The height of each bin in the cross-correlograms can be interpreted as the fraction of the spikes in the oscillator with two PRCs that coincide with a spike of the oscillator with one PRC.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com