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On the validation of the Newcomb−Benford Law and the Weibull distribution in neuromuscular transmission
Physica A: Statistical Mechanics and its Applications ( IF 3.3 ) Pub Date : 2020-04-28 , DOI: 10.1016/j.physa.2020.124606
A.J. da Silva , S. Floquet , D.O.C. Santos , R.F. Lima

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 nerve 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 to the Newcomb-Benford Law. Our analysis revealed that electrical discharge of neuromuscular junction yields the expected values for Newcomb-Benford Law for first and second digits, for different calcium concentrations. On the other hand, first-two digits archived conformity especially for concentrations much above the physiological level. We next examined previous theoretical studies, establishing a relation between the law and lognormal and Weibull distributions. We showed that the Weibull distribution is more appropriate to fit the intervals as compared to the lognormal distribution. Altogether, the present findings strongly suggest that the electrical discharge dynamics is characterized by base-invariance and scale-invariance, being the time intervals also well described by Weibull statistics.



中文翻译:

关于Newcomb的验证-Benford Law和神经肌肉传导中的Weibull分布

神经肌肉接头代表用于揭示突触传递的重要生物物理机制的相关基质。在这种情况下,钙离子在突触机制中很重要,可以将神经冲动传递到肌肉纤维。在这项工作中,我们仔细研究了以七个不同的钙浓度记录的自发电活动间隔是否符合纽康-本福德定律。我们的分析表明,对于不同的钙浓度,神经肌肉接头的放电产生的第一和第二位数的纽康-本福德定律的期望值。另一方面,前两位数字记录了符合性,尤其是对于远高于生理水平的浓度。接下来,我们检查了先前的理论研究,建立定律与对数正态分布和威布尔分布之间的关系。我们显示,与对数正态分布相比,威布尔分布更适合拟合区间。总而言之,本研究结果强烈表明,放电动力学的特征在于基本不变性和尺度不变性,时间间隔也被韦伯统计很好地描述了。

更新日期:2020-04-28
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