Bönsel Florian, Krauss Patrick, Metzner Claus, Yamakou Marius E
Chair for Dynamics, Control and Numerics, Department of Data Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany.
Biophysics Group, Friedrich-Alexander-Universität Erlangen-Nürnberg, Henkestr. 91, 91052 Erlangen, Germany.
Cogn Neurodyn. 2022 Aug;16(4):941-960. doi: 10.1007/s11571-021-09770-2. Epub 2021 Dec 23.
The phenomenon of self-induced stochastic resonance (SISR) requires a nontrivial scaling limit between the deterministic and the stochastic timescales of an excitable system, leading to the emergence of coherent oscillations which are absent without noise. In this paper, we numerically investigate SISR and its control in single neurons and three-neuron motifs made up of the Morris-Lecar model. In single neurons, we compare the effects of electrical and chemical autapses on the degree of coherence of the oscillations due to SISR. In the motifs, we compare the effects of altering the synaptic time-delayed couplings and the topologies on the degree of SISR. Finally, we provide two enhancement strategies for a particularly poor degree of SISR in motifs with chemical synapses: (1) we show that a poor SISR can be significantly enhanced by attaching an electrical or an excitatory chemical autapse on one of the neurons, and (2) we show that by multiplexing the motif with a poor SISR to another motif (with a high SISR in isolation), the degree of SISR in the former motif can be significantly enhanced. We show that the efficiency of these enhancement strategies depends on the topology of the motifs and the nature of synaptic time-delayed couplings mediating the multiplexing connections.
自诱导随机共振（SISR）现象要求在可兴奋系统的确定性时间尺度和随机时间尺度之间存在非平凡的标度极限，从而导致出现无噪声时不存在的相干振荡。在本文中，我们对由Morris-Lecar模型构成的单个神经元和三神经元基序中的SISR及其控制进行了数值研究。在单个神经元中，我们比较了电自突触和化学自突触对由SISR引起的振荡相干程度的影响。在基序中，我们比较了改变突触时延耦合和拓扑结构对SISR程度的影响。最后，我们针对具有化学突触的基序中特别差的SISR程度提供了两种增强策略：（1）我们表明，通过在其中一个神经元上附加电自突触或兴奋性化学自突触，可以显著增强较差的SISR；（2）我们表明，通过将具有较差SISR的基序与另一个基序（单独具有高SISR）进行复用，前一个基序中的SISR程度可以显著增强。我们表明，这些增强策略的效率取决于基序的拓扑结构以及介导复用连接的突触时延耦合的性质。
