Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, Missouri 63130, USA.
Phys Rev Lett. 2013 Jul 12;111(2):024102. doi: 10.1103/PhysRevLett.111.024102. Epub 2013 Jul 9.
For many biological and engineered systems, a central function or design goal is to abbreviate the time required to synchronize a rhythmic process to an external forcing signal. We present a theory for deriving the input that effectively minimizes the average transient time required to entrain a phase model, which enables a practical technique for constructing fast entrainment waveforms for general nonlinear oscillators. This result is verified in numerical simulations using the Hodgkin-Huxley neuron model, and in experiments on an oscillatory electrochemical system.
对于许多生物和工程系统来说,一个核心功能或设计目标是缩短将一个节奏过程同步到外部强迫信号所需的时间。我们提出了一种理论,用于推导有效地最小化使相位模型同步所需的平均瞬态时间的输入,这为一般非线性振荡器构建快速同步波形提供了一种实用技术。该结果通过使用 Hodgkin-Huxley 神经元模型的数值模拟和对振荡电化学系统的实验进行了验证。