Optimal phase control of biological oscillators using augmented phase reduction
Optimal phase control of biological oscillators using augmented phase reduction
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DOI：
10.1007/s00422-018-0764-z
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发表时间：
2019-04-01
影响因子：
1.9
通讯作者：
Moehlis, Jeff
中科院分区：
文献类型：
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作者：
Monga, Bharat;Moehlis, Jeff
我们开发了一种新的最优控制算法来改变振荡器的相位使用最小的能量输入，这也最小化振荡器的横向距离不受控制的周期轨道。我们的算法使用了一个二维的减少技术的基础上的等时线和等稳线。我们开发了一种新的方法来消除心脏交替连接我们的控制算法与潜在的生理问题。我们还描述了如何设计的算法可以用于尖峰定时控制，这可能有助于运动症状的基本和帕金森震颤，并有助于治疗时差。为了证明该算法的优点，我们将其与以前提出的基于标准相位减少的Hopf分叉范式的最优控制算法进行比较，并对心脏起搏细胞，丘脑神经元和视交叉上核的昼夜基因调控周期进行模型。我们表明，我们的控制算法是有效的，即使当一个大的相位变化是必需的，或者当非平凡的Floquet乘数接近团结，在这种情况下，以前提出的控制算法失败。
We develop a novel optimal control algorithm to change the phase of an oscillator using a minimum energy input, which also minimizes the oscillator's transversal distance to the uncontrolled periodic orbit. Our algorithm uses a two-dimensional reduction technique based on both isochrons and isostables. We develop a novel method to eliminate cardiac alternans by connecting our control algorithm with the underlying physiological problem. We also describe how the devised algorithm can be used for spike timing control which can potentially help with motor symptoms of essential and parkinsonian tremor, and aid in treating jet lag. To demonstrate the advantages of this algorithm, we compare it with a previously proposed optimal control algorithm based on standard phase reduction for the Hopf bifurcation normal form, and models for cardiac pacemaker cells, thalamic neurons, and circadian gene regulation cycle in the suprachiasmatic nucleus. We show that our control algorithm is effective even when a large phase change is required or when the nontrivial Floquet multiplier is close to unity; in such cases, the previously proposed control algorithm fails.