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da Silva, AJ, Floquet, S, Santos, DOC and Lima, RF (2020)

On the validation of the Newcomb-Benford Law and the Weibull distribution in neuromuscular transmission

Physica A 553, 1 September 2020, 124606.

ISSN/ISBN: Not available at this time. DOI: 10.1016/j.physa.2020.124606

Abstract: 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 dis- charge 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 spontaneous activity is a base scale-invariant phenomenon. In addition, we suggest that spontaneous electrical activity is well described by Weibull statistics.

@article{, author = {Silva, Adriano and Floquet, Sergio and Santos, O.~C. and Lima, R.~F.}, year = {2020}, journal = {Physics A}, volume = {553}, title = {On the validation of the Newcomb-Benford Law and the Weibull distribution in neuromuscular transmission}, doi = {10.1016/j.physa.2020.124606}, URL = {}, }

Reference Type: Journal Article

Subject Area(s): Biology