用非局域空间耦合和延时反馈控制可激发介质中行波脉冲的起始
Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
摘要：
研究了脉冲传播的发生在一个反应扩散（RD）模型与控制增强传输能力，提供沿非局部空间耦合或通过时间延迟反馈。我们发现，旅行脉冲发生主要是作为解决方案的RD方程，而增强传输改变兴奋性。对于某些范围的参数设置，定义为弱易感性和中度控制，分别，混合模型可以映射到原始RD模型。这导致由增强传输控制的RD参数的有效改变。外温和的控制参数设置，获得新的模式，例如逐步传播由于延迟引起的振荡。增强传输构成了与斑图形成的经典RD机制互补的信令系统。我们的混合模型结合了大脑中的两个主要信号系统，即体积传递和突触传递。我们的研究结果提供了对大脑中病理脉冲的传播和控制的见解。
英文摘要：
The onset of pulse propagation is studied in a reaction-diffusion (RD) model with control by augmented transmission capability that is provided either along nonlocal spatial coupling or by time-delayed feedback. We show that traveling pulses occur primarily as solutions to the RD equations while augmented transmission changes excitability. For certain ranges of the parameter settings, defined as weak susceptibility and moderate control, respectively, the hybrid model can be mapped to the original RD model. This results in an effective change of RD parameters controlled by augmented transmission. Outside moderate control parameter settings new patterns are obtained, for example step-wise propagation due to delay-induced oscillations. Augmented transmission constitutes a signaling system complementary to the classical RD mechanism of pattern formation. Our hybrid model combines the two major signaling systems in the brain, namely volume transmission and synaptic transmission. Our results provide insights into the spread and control of pathological pulses in the brain.
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