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| In this paper, the constrained optimization of excitatory synaptic input patterns to fastest generate given number of spikes is considered in leaky integrate-and-fire neuron model. Different input strategies are investigated by using phase plane arguments for discrete input kicks with a given total magnitude. Furthermore, analytical results are conducted to estimate the firing time of given number of spikes resulting from a given input train. Optimal input timings and strengths are identified to fastest generate given number of spikes. When total input size is sufficiently large, big kick is the fastest strategy. In addition, we establish an optimal value for the dependent variable, $v$, where each input should be delivered in a non-threshold-based strategy to fastest achieve given output of subsequent spikes. |
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