神经元放电机制影响脑回路混沌,使其呈现稀疏爆发式动态。
Sparse chaos in cortical circuits
- 通过计算李雅普诺夫谱等揭示单个神经元放电如何改变集体混沌结构
- 放电机制变化导致不稳定流形、熵值与吸引子维数显著下降
- 发现脑回路处于稀疏混沌态,利于信息传递与可控制性
神经冲动是大脑信息传递的基本单位,由神经元膜电位动力学的不稳定性产生。神经回路表现出集体混沌,这在学习、记忆、感觉处理和运动控制中至关重要,但其性质和强度受哪些因素调控尚不清楚。本文运用计算遍历理论,证明单个神经元放电机制的基本特征深刻影响神经回路的集体混沌。数值精确计算显示,李雅普诺夫谱、科莫戈罗夫-辛-熵以及吸引子维数的上下界表明:个体神经元放电的变化虽仅轻微影响信息编码速率,却质变地重塑相空间结构。具体而言,不稳定流形数量、科莫戈罗夫-辛-熵和吸引子维数大幅降低。当突破临界点——表现为扩散近似失效、最大李雅普诺夫指数峰值及主导共变李雅普诺夫向量局域化转变——网络进入稀疏混沌态:长时间近稳定状态被短暂强烈混沌爆发打断。对大规模更真实结构网络的分析支持这一结论。在皮层回路中,生物物理特性似乎被调节至该稀疏混沌区域。结果揭示了单神经元生物物理特性与皮层回路集体动力学间的紧密关联,表明神经冲动生成机制可能进化以增强回路可控性和信息流动。
原文摘要 · Abstract (English)
Nerve impulses, the currency of information flow in the brain, are generated by an instability of the neuronal membrane potential dynamics. Neuronal circuits exhibit collective chaos that appears essential for learning, memory, sensory processing, and motor control. However, the factors controlling the nature and intensity of collective chaos in neuronal circuits are not well understood. Here we use computational ergodic theory to demonstrate that basic features of nerve impulse generation profoundly affect collective chaos in neuronal circuits. Numerically exact calculations of Lyapunov spectra, Kolmogorov-Sinai-entropy, and upper and lower bounds on attractor dimension show that changes in nerve impulse generation in individual neurons moderately impact information encoding rates but qualitatively transform phase space structure. Specifically, we find a drastic reduction in the number of unstable manifolds, Kolmogorov-Sinai entropy, and attractor dimension. Beyond a critical point, marked by the simultaneous breakdown of the diffusion approximation, a peak in the largest Lyapunov exponent, and a localization transition of the leading covariant Lyapunov vector, networks exhibit sparse chaos: prolonged periods of near stable dynamics interrupted by short bursts of intense chaos. Analysis of large, more realistically structured networks supports the generality of these findings. In cortical circuits, biophysical properties appear tuned to this regime of sparse chaos. Our results reveal a close link between fundamental aspects of single-neuron biophysics and the collective dynamics of cortical circuits, suggesting that nerve impulse generation mechanisms are adapted to enhance circuit controllability and information flow.
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