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Statistical Crossover and Nonextensive Behavior of Neuronal Short-term Depression

Overview
Journal J Biol Phys
Specialty Biophysics
Date 2017 Oct 14
PMID 29027614
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Abstract

The theoretical basis of neuronal coding, associated with short-term degradation in synaptic transmission, is a matter of debate in the literature. In fact, electrophysiological signals are commonly characterized as inversely proportional to stimulus intensity. Among theoretical descriptions of this phenomenon, models based on 1/f-dependency are employed to investigate the biophysical properties of short-term synaptic depression. In this work, we formulate a model based on a paradigmatic q-differential equation to obtain a generalized formalism useful for investigation of nonextensivity in this specific type of synaptic plasticity. Our analysis reveals nonextensivity in data from electrophysiological recordings and also a statistical crossover in neurotransmission. In particular, statistical transitions provide additional support to the hypothesis of heterogeneous release probability of neurotransmitters. On the other hand, the simple vesicle model agrees with data only at low-frequency stimulations. Thus, the present work presents a method to demonstrate that short-term depression is not only governed by random mechanisms but also by nonextensive behavior. Our findings also conciliate morphological and electrophysiological investigations into a coherent biophysical scenario.

References
1.
Wernig A . Estimates of statistical release parameters from crayfish and frog neuromuscular junctions. J Physiol. 1975; 244(1):207-21. PMC: 1330753. DOI: 10.1113/jphysiol.1975.sp010792. View

2.
Schikorski T, Stevens C . Quantitative ultrastructural analysis of hippocampal excitatory synapses. J Neurosci. 1997; 17(15):5858-67. PMC: 6573206. View

3.
Bennett M, Kearns J . Statistics of transmitter release at nerve terminals. Prog Neurobiol. 2000; 60(6):545-606. DOI: 10.1016/s0301-0082(99)00040-4. View

4.
Brenowitz S, Trussell L . Minimizing synaptic depression by control of release probability. J Neurosci. 2001; 21(6):1857-67. PMC: 6762601. View

5.
Sakaba T, Schneggenburger R, Neher E . Estimation of quantal parameters at the calyx of Held synapse. Neurosci Res. 2002; 44(4):343-56. DOI: 10.1016/s0168-0102(02)00174-8. View