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As the inputs arrive, the cells organize themselves into circuits and functional regions.
An oscillator using instead the equivalent PRC will present a shift in phase (varDelta (theta)) at the times when the excitatory inputs arrive.
The proposed dynamic logic family allows for a partial evaluation in a computational block before its input signals are valid, and quickly performs a final evaluation as soon as the inputs arrive.
To make this comparison, we can simulate an oscillator with feedforward inhibition, and oscillators with the different equivalent PRCs, all of these receiving inputs at the times when the excitatory inputs arrive for the oscillator with feedforward inhibition.
For example, a basic Signal node which instantaneously computes the GCD (i.e., its result is available at the same instant when the inputs arrive), cannot be replaced by other nodes running at a higher rate (cf. the introductory GCD2 example).
end{aligned} We then have Ebigl varDelta _{mathrm{inh}}(b+D)|phi,k_{e},k_{i},mbox{RT} bigr) = frac{1}{C_{k_{e}}^{k_{e}+k_{i}}} sum_{i=1}^{C_{k_{e}}^{k_{e}+k_{i}}} varDelta _{mathrm{inh}}bigl(theta_{K}^{i} + gammabigr), (27) where RT stands for "Regular Times," meaning that the inputs arrive at regular time intervals.
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In this approach, weighted sum of inputs arriving at each neuron is passed through an activation function (generally nonlinear) to generate an output signal.
One difficulty that quickly becomes apparent with it, is that in the time interval between (t_{n}) and (t_{n} + d) there will usually be other inputs arriving at the oscillator, so that the phase when the inhibitory input arrives will generally not be ((phi+ varDelta _{mathrm{exc}} phi) + omega d)).
To calculate (E varDelta _{mathrm{inh}}(b + D |phi)), we can start by calculating this expected value when we know exactly how many excitatory and inhibitory inputs arrived during the delay period.
The modeled cells were stimulated with numerous excitatory and inhibitory synaptic inputs arriving at random times to randomly selected dendritic targets.
Boosting and prolonging the influx of positive charges during stimulation might be an important mechanism influencing the time window required to form long term association between different inputs arriving in this region.
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