标题： 电荷平衡的最小功率控制用于脉冲神经振荡器 显示英文标题

标题： Charge-Balanced Minimum-Power Controls for Spiking Neuron Oscillators

摘要： 在本文中，我们研究了脉冲神经振荡器相位模型的最优控制。我们专注于设计最小功率电流刺激，以在期望时间引发神经元的脉冲。此外，我们考虑到电荷平衡约束，因为在实际中，由于外部刺激导致的电荷积累可能引起不良副作用。使用最大值原理，推导出了一般相位模型的电荷平衡最小功率控制，其中检查了控制幅度无界和有界的情况。后者具有实际重要性，因为相位模型在弱激励下更准确。然后将开发的最优控制策略应用于数学理想和实验观察到的相位模型，以证明其适用性，包括广泛研究的Hodgkin-Huxley方程的相位模型。 显示英文摘要

摘要： In this paper, we study the optimal control of phase models for spiking neuron oscillators. We focus on the design of minimum-power current stimuli that elicit spikes in neurons at desired times. We furthermore take the charge-balanced constraint into account because in practice undesirable side effects may occur due to the accumulation of electric charge resulting from external stimuli. Charge-balanced minimum-power controls are derived for a general phase model using the maximum principle, where the cases with unbounded and bounded control amplitude are examined. The latter is of practical importance since phase models are more accurate for weak forcing. The developed optimal control strategies are then applied to both mathematically ideal and experimentally observed phase models to demonstrate their applicability, including the phase model for the widely studied Hodgkin-Huxley equations.