Fig. 6 | Nature Communications

Fig. 6

From: Optimal solid state neurons

Fig. 6

Analogue interpolation of the gate activation curves and gate kinetics. a Sigmoidal currents \({I}_{1}+\cdots +{I}_{N}\) are summed to interpolate the activation curve of an ionic gate. The adjustment parameters are the voltage thresholds \({V}_{t1},\ldots ,{V}_{tN}\) and source currents \({I}_{\mathrm{max},1},\ldots ,{I}_{\mathrm{max},N}\). b Activation curve of the A channel of a thalamic relay neuron (circle symbols)45 interpolated by nine sigmoids whose sum gives the output current \({I}_{\mathrm{out}}\) (full red line). The output current normalized by \({I}_{\mathrm{max}}={I}_{\mathrm{max},1}+\cdots +{I}_{\mathrm{max},9}\) gives the biological activation curve, \({m}_{\infty }(V)\). c Circuit interpolating the activation/inactivation kinetics by summing \(N\) bell-shaped curves centred at \({V}_{t1},\ldots ,{V}_{tN}\) with amplitudes \({I}_{\mathrm{max},1},\ldots ,{I}_{{\mathrm{max}},N}\). d Activation kinetics of the HCN current, \(\tau (V)\),45 (circle symbols) interpolated by summing nine bell-shaped curves in the output current \({I}_{\tau {\mathrm{out}}}\) (full red line). \({I}_{\tau {\mathrm{max}}}={I}_{\tau {\mathrm{max}},1}+\cdots +{I}_{\tau {\mathrm{max}},9}\).

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