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首页> 外文期刊>Journal of Computational Neuroscience >Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron
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Dendritic Synchrony and Transient Dynamics in a Coupled Oscillator Model of the Dopaminergic Neuron

机译：多巴胺能神经元耦合振荡器模型中的树突同步和瞬态动力学。

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Transient increases in spontaneous firing rate of mesencephalic dopaminergic neurons have been suggested to act as a reward prediction error signal. A mechanism previously proposed involves subthreshold calcium-dependent oscillations in all parts of the neuron. In that mechanism, the natural frequency of oscillation varies with diameter of cell processes, so there is a wide variation of natural frequencies on the cell, but strong voltage coupling enforces a single frequency of oscillation under resting conditions. In previous work, mathematical analysis of a simpler system of oscillators showed that the chain of oscillators could produce transient dynamics in which the frequency of the coupled system increased temporarily, as seen in a biophysical model of the dopaminergic neuron. The transient dynamics was shown to be consequence of a slow drift along an invariant subset of phase space, with rate of drift given by a Lyapunov function. In this paper, we show that the same mathematical structure exists for the full biophysical model, giving physiological meaning to the slow drift and the Lyapunov function, which is shown to describe differences in intracellular calcium concentration in different parts of the cell. The duration of transients was long, being comparable to the time constant of calcium disposition. These results indicate that brief changes in input to the dopaminergic neuron can produce long lasting firing rate transients whose form is determined by intrinsic cell properties.
机译：中脑多巴胺能神经元自发放电速率的短暂增加已被认为可作为奖励预测误差信号。先前提出的机制涉及神经元所有部分中的亚阈值钙依赖性振荡。在这种机制中，振荡的固有频率随电池过程的直径而变化，因此，电池上的固有频率变化很大，但是强电压耦合会在静止条件下强制单个振荡频率。在先前的工作中，对一个更简单的振荡器系统的数学分析表明，振荡器链会产生瞬态动力学，其中耦合系统的频率会暂时增加，如在多巴胺能神经元的生物物理模型中所见。瞬态动力学被证明是沿相空间不变子集缓慢漂移的结果，漂移速率由李雅普诺夫函数给出。在本文中，我们表明完整的生物物理模型存在相同的数学结构，从而为缓慢漂移和Lyapunov函数赋予了生理意义，这表明它描述了细胞不同部位细胞内钙浓度的差异。瞬变的持续时间很长，与钙沉积的时间常数相当。这些结果表明，多巴胺能神经元输入的短暂变化会产生长效的发射速率瞬变，其形式由内在的细胞特性决定。

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