Journal ArticleDOI
Suppression of Multimodality in Inter-Spike Interval Distribution: Role of External Damped Oscillatory Input
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TLDR
A theoretical model based on the generalized neuronal model with distributed delay (GNMDD) is proposed to generate multimodal/bimodal inter-spike interval (ISI) distribution and the effect of external damped oscillatory current in the GNMDD model is investigated.Abstract:
A theoretical model based on the generalized neuronal model with distributed delay (GNMDD) is proposed to generate multimodal/bimodal inter-spike interval (ISI) distribution. The distributed delay is assumed to be general in the sense that it is a linear combination of gamma distributed weak and strong memory kernels. It is found that the expected membrane potential in the subthreshold regime exhibits damped oscillatory behavior. This causes the ISI pattern to become bimodal/multimodal. Furthermore, the effect of external damped oscillatory current in the GNMDD model is investigated. Based on extensive simulation study of a set of coupled stochastic differential equations in the presence of a threshold, a vast amount of spiking data are generated. Using the non-parametric modeling approach, the optimal bin width of the histogram is obtained by using the Freedman–Diaconis rule. It is to be noted that, with the increasing amplitude of the damped oscillatory current, the multimodal ISI distribution changes to unimodal ISI distribution when the magnitude of external current reaches a critical value. It is found that the entropy also shows a sudden transition around the critical point. This phenomenon is akin to a phase transition.read more
Citations
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Integers Polynomials And Rings A Course In Algebra
TL;DR: Integers polynomials and rings a course in algebra is available in our digital library and an online access to it is set as public so that you can download it instantly as discussed by the authors.
Journal ArticleDOI
LIF Neuron with Hypo-exponential Distributed Delay: Emergence of Unimodal, Bimodal, Multimodal ISI Distribution with Long Tail
TL;DR: The Leaky integrate-and-fire neuron model in DDF with hypoexponential delay kernel is investigated and finds that the LIFH model is capable to reproduce unimodal, bimodal and multimodal inter-spike- interval distributions which are qualitatively similar with the experimentally observed ISI distributions.
Journal ArticleDOI
Memristive Izhikevich Spiking Neuron Model and Its Application in Oscillatory Associative Memory
Xiao Fang,Shukai Duan,Liang Wang +2 more
TL;DR: Experimental results illustrate that the constructed MIZH spiking neuron model performs high firing frequency and good frequency adaptation, and the model can easily simulate various spiking and bursting patterns of distinct neurons in the brain.
Journal ArticleDOI
Bimodality of the interspike interval distributions for subordinated diffusion models of integrate-and-fire neurons
Sander Paekivi,Romi Mankin +1 more
TL;DR: In this article, a subordinated Langevin process, with a random operational time in the form of an inverse strictly increasing Levy-type subordinator, is considered as a generalization of the conventional perfect and leaky integrate-and-fire neuron models.
Book ChapterDOI
Strategies for enzymological studies and measurements of biological molecules with the cytolysin A nanopore
Carsten Wloka,Nicole Stéphanie Galenkamp,Nieck Jordy van der Heide,Florian Leonardus Rudolfus Lucas,Giovanni Maglia +4 more
TL;DR: This work presents strategies for studying individual enzymes and measuring molecules, also in highly complex biological samples such as blood, using nanopores from membrane proteins reconstituted in artificial lipid bilayers.
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