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Non-weak inhibition and phase resetting at negative values of phase in cells with fast-slow dynamics at hyperpolarized potentials

机译:在超极化电势下具有快速慢动力学的细胞中的非弱抑制和相位重置为负相位

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摘要

Phase response is a powerful concept in the analysis of both weakly and non-weakly perturbed oscillators such as regularly spiking neurons, and is applicable if the oscillator returns to its limit cycle trajectory between successive perturbations. When the latter condition is violated, a formal application of the phase return map may yield phase values outside of its definition domain; in particular, strong synaptic inhibition may result in negative values of phase. The effect of a second perturbation arriving close to the first one is undetermined in this case. However, here we show that for a Morris-Lecar model of a spiking cell with strong time scale separation, extending the phase response function definition domain to an additional negative value branch allows to retain the accuracy of the phase response approach in the face of such strong inhibitory coupling. We use the resulting ex tended phase response function to accurately describe the response of a Morris-Lecar oscillator to consec utive non-weak synaptic inputs. This method is par ticularly useful when analyzing the dynamics of three or more non-weakly coupled cells, whereby more than one synaptic perturbation arrives per oscillation cycle into each cell. The method of perturbation prediction based on the negative-phase extension of the phase response function may be applicable to other excitable cell models characterized by slow voltage dynamics at hyperpolarized potentials. Phase resetting; Phase response curve Spike-time response curve; Phase return map; Pulse coupled
机译:相位响应是分析弱和非弱扰动振荡器(例如规则尖峰神经元)的有力概念,如果振荡器返回到连续扰动之间的极限循环轨迹,则相位响应适用。当违反后一种条件时,正式使用相位返回图可能会在其定义域之外产生相位值;特别是强烈的突触抑制可能导致相位负值。在这种情况下,尚不确定第二次扰动接近第一个扰动的影响。但是,这里我们表明,对于具有强时标分离的尖峰单元的Morris-Lecar模型,将相位响应函数定义域扩展到另一个负值分支可以面对这种情况保持相位响应方法的准确性。强抑制性偶联。我们使用得到的扩展相位响应函数来准确描述Morris-Lecar振荡器对连续非弱突触输入的响应。当分析三个或三个以上非弱耦合细胞的动力学时,此方法特别有用,从而每个振荡周期中每个细胞进入一个以上的突触扰动。基于相位响应函数的负相位扩展的摄动预测方法可能适用于其他可激发的细胞模型,这些模型的特征是在超极化电势下具有缓慢的电压动态。相位重置;相位响应曲线尖峰时间响应曲线;相位返回图;脉冲耦合

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