Starobin Joseph M, Varadarajan Vivek
University of North Carolina at Greensboro, North Carolina, 27402, USA.
Nonlinear Biomed Phys. 2011 Sep 25;5(1):8. doi: 10.1186/1753-4631-5-8.
We introduce a novel approach of stabilizing the dynamics of excitation waves by spatially extended sub-threshold periodic forcing. Entrainment of unstable primary waves has been studied numerically for different amplitudes and frequencies of additional sub-threshold stimuli. We determined entrainment regimes under which excitation blocks were transformed into consistent 1:1 responses. These responses were spatially homogeneous and synchronized in the entire excitable medium. Compared to primary pulses, pulses entrained by secondary stimulations were stable at considerably shorter periods which decreased at higher amplitudes and greater number of secondary stimuli. Our results suggest a practical methodology for stabilization of excitation in reaction-diffusion media such as nerve tissue with regions of reduced excitability.
我们引入了一种通过空间扩展的亚阈值周期强迫来稳定激发波动力学的新方法。针对不同幅度和频率的额外亚阈值刺激，对不稳定初级波的同步进行了数值研究。我们确定了激发块转变为一致的1:1响应的同步状态。这些响应在整个可兴奋介质中是空间均匀且同步的。与初级脉冲相比，由次级刺激同步的脉冲在相当短的周期内是稳定的，且随着幅度增加和次级刺激数量增多，周期会缩短。我们的结果为在诸如具有兴奋性降低区域的神经组织等反应扩散介质中稳定激发提供了一种实用方法。
