二维神经模型中的频率偏好：谐振电流和放大电流之间相互作用的线性分析
Frequency preference in two-dimensional neural models: a linear analysis of the interaction between resonant and amplifying currents
摘要：
许多神经元类型在其电压幅度（共振）或相移中表现出对阈下振荡电流的优选频率响应，但生物物理参数对这些特性的影响尚不清楚。我们提出了一个通用的框架来分析不同的离子电流和它们的相互作用的作用，在线性化的生物物理模型中的阻抗振幅和相位的属性的塑造，并证明这种方法在一个二维的线性模型与两个有效的电导gL和g1。我们计算阻抗和相位的关键属性（谐振频率和振幅、零相位频率、选择性等）。在gL-g1参数空间。使用这些属性图，我们确定了两个基本的机制产生的共振：增加的共振振幅为g1的增加，而整体阻抗降低，并在最大阻抗的增加，没有任何变化的输入电阻，作为离子电流时间常数的增加。我们使用属性图来分析共振和相位的线性化的两个生物物理模型，包括共振（Ih或慢钾）和放大电流（持续钠）。在没有放大电流的情况下，两个模型的行为类似的谐振电流的电导增加，而与放大电流的存在，两个模型具有定性相反的响应。这项工作提供了一个一般的方法解码的生物物理参数对线性膜共振和相位的影响，通过跟踪轨迹，参数化的相关生物物理参数，在预先构建的属性图。
英文摘要：
Many neuron types exhibit preferred frequency responses in their voltage amplitude (resonance) or phase shift to subthreshold oscillatory currents, but the effect of biophysical parameters on these properties is not well understood. We propose a general framework to analyze the role of different ionic currents and their interactions in shaping the properties of impedance amplitude and phase in linearized biophysical models and demonstrate this approach in a two-dimensional linear model with two effective conductances gL and g1. We compute the key attributes of impedance and phase (resonance frequency and amplitude, zero-phase frequency, selectivity, etc.) in the gL-g1 parameter space. Using these attribute diagrams we identify two basic mechanisms for the generation of resonance: an increase in the resonance amplitude as g1 increases while the overall impedance is decreased, and an increase in the maximal impedance, without any change in the input resistance, as the ionic current time constant increases. We use the attribute diagrams to analyze resonance and phase of the linearizations of two biophysical models that include resonant (Ih or slow potassium) and amplifying currents (persistent sodium). In the absence of amplifying currents, the two models behave similarly as the conductances of the resonant currents is increased whereas, with the amplifying current present, the two models have qualitatively opposite responses. This work provides a general method for decoding the effect of biophysical parameters on linear membrane resonance and phase by tracking trajectories, parametrized by the relevant biophysical parameter, in pre-constructed attribute diagrams.
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