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Fig. 9 | The Journal of Mathematical Neuroscience

Fig. 9

From: Fundamental Limits of Forced Asynchronous Spiking with Integrate and Fire Dynamics

Fig. 9

Representation of the solution space with respect to the quasistatic equilibrium line. (a) When Neuron 1 satisfies Case 1 i.e. \(\gamma_{1} > {V_{T}}/{V_{G}}\), which implies \(\gamma_{2} < {V_{T}}/{V_{G}}\), i.e. Neuron 2 satisfies Case 2. (b), (c) The parameters of the neurons are such that \(1 \leq\gamma_{1} \leq {V_{T}}/{V_{G}}\) and \({V_{G}}/{V_{T}} \leq\gamma_{1} \leq1\) respectively which implies both neurons are Case 2. Note that for these two scenarios, the selective spiking is not possible for both the neurons. (d) The parameters satisfy \(\gamma_{2} > {V_{T}}/{V_{G}}\), i.e. Neuron 2 is Case 1 which implies Neuron 1 is Case 2, \(\gamma_{1} < {V_{T}}/{V_{G}}\). For (a) and (d), selective spiking is possible for both neurons.

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