论文标题
关于Newcomb-Benford Law和Weibull分布在神经肌肉传播中的验证
On the validation of Newcomb-Benford law and Weibull distribution in neuromuscular transmission
论文作者
论文摘要
神经肌肉连接代表了一种相关的底物，用于揭示突触传播的重要生物物理机制。在这种情况下，钙离子在突触机械中很重要，从而为肌肉纤维提供了神经冲动的传播。在这项工作中，我们仔细研究了以7种不同钙浓度记录的自发性电活动间隔是否符合Newcomb-Benford Law。我们的分析表明，神经肌肉连接的电排放遵守第一和第二位数字的Newcomb-Benford Law的预期值，而第一二位数并不能完美地遵循该法律。接下来，我们研究了先前的理论研究，建立了法律与对数正态分子和威布尔分布之间的关系。我们表明，与对数正态分布相比，Weibull分布更适合拟合间隔。总之，目前的发现强烈表明自发活动是一种基本尺度不变现象。
The neuromuscular junction represents a relevant substrate for revealing important biophysical mechanisms of synaptic transmission. In this context, calcium ions are important in the synapse machinery, providing the nervous impulse transmission to the muscle fiber. In this work, we carefully investigated whether intervals of spontaneous electrical activity, recorded in seven different calcium concentrations, conform Newcomb-Benford law. Our analysis revealed that electrical discharge of neuromuscular junction obeys the expected values for Newcomb-Benford law for first and second digits, while first-two digits do not perfectly follows the law. We next examined previous theoretical studies, establishing a relation between the law and lognormal and Weibull distributions. We showed that Weibull distribution is more appropriate to fit the intervals as compared to lognormal distribution. Altogether, the present findings strongly suggest that spontaneous activity is a base-scale invariant phenomenon.
