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Fig. 4 | The Journal of Mathematical Neuroscience

Fig. 4

From: A Rate-Reduced Neuron Model for Complex Spiking Behavior

Fig. 4

Responses of (SNM) to periodic input, illustrating neuronal filter properties. ( A ) For \(\kappa=\tfrac{1}{10}\) the neuron acts as a low-pass filter. Input with an amplitude of \(\varphi=\tfrac{1}{5}\) elicits a spiking response for \(\omega=1\), whereas the neuron is quiescent for \(\omega=2\). ( B ) For \(\kappa=2\), the neuron acts as a high-pass filter. Input with amplitude \(\varphi=\tfrac{1}{10}\) elicits a spiking response for \(\omega=2\), whereas a lower input frequency of \(\omega=1\) does not. In both examples, \((\theta,\varepsilon,\gamma )= (\tfrac{1}{7},\tfrac{1}{200},2 )\)

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