Noise induced excitability is studied in type I and II Morris–Lecar neurons subject to constant sub threshold input, where fluctuations arise from sodium and potassium ion channels. Ion channels open and close randomly, creating current fluctuations that can induce spontaneous firing of action potentials. Both noise sources are assumed to be weak so that spontaneous action potentials occur on a...

We discuss synchronization in networks of neuronal oscillators which are linearly coupled via gap junctions. We show that the neuronal models of Hodgkin-Huxley, Morris-Lecar, FitzHugh-Nagumo and Hindmarsh-Rose all satisfy a semi-passivity property, i.e. that is the state trajectories of such a model remain oscillatory but bounded provided that the supplied (electrical) energy is bounded. As a r...

We have developed and tested an analog/digital VLSI system that models the coordination of biological segmental oscillators underlying axial locomotion in animals such as leeches and lampreys. In its current form the system consists of a chain of twelve pattern generating circuits that are capable of arbitrary contralateral inhibitory synaptic coupling. Each pattern generating circuit is implem...

A Morris–Lecar neuron model is considered with electric and magnetic field effects where the a time-varying sinusoid simulated using an exponential flux memristor. We have shown that exposure to fields significant on neurons has exhibited complex oscillations. The exhibit frequency-locked state for periodic different ratios of states respect frequency also presented. To show impact network neur...

A model of the rabbit sinoatrial action potential is introduced, based on a model by Morris & Lecar. One cell is described by two nonlinear first-order ordinary differential equations, with ten constant parameters. The model is much simpler than most other models in use, but can reproduce perfectly experimentally recorded action potentials. The dynamics of two coupled cells, with and without th...

We study the transient regime of type-II biophysical neuron models and determine the scaling behavior of relaxation times tau near but below the repetitive firing critical current, tau approximately or equal to C(I(c)-I)(-Delta). For both the Hodgkin-Huxley and Morris-Lecar models we find that the critical exponent is independent of the numerical integration time step and that both systems belo...

Based on a modified Morris–Lecar neural model, the synchronization modes transitions between two coupled neurons or star-coupled network connected by weak electrical and chemical coupling are, respectively, investigated. For neurons, increasing calcium conductivity, it is found that period-2 of action potential transformed to desynchronization first, then period-3 synchronization. By potassium ...

Abstract Focusing on systems of sinusoidally coupled active rotators, we study the emergence and stability periodic collective oscillations for identical excitable units with repulsive all-to-all interaction. Special attention is put splay states two-cluster states. Recently, it has been shown that one-parameter families such systems, containing parameter values at which Watanabe–Strogatz integ...

4 Objective 5 To investigated the validity over time of Fingertip-to-floor test (FTF) and Straight leg raising 6 test (SLR) using Roland Morris disability Questionnaire (RMDQ) and correlation coefficient 7 (r) and to assess the predictive value of factors related to the change in RMDQ over 12 8 months using multivariate regression analysis. 9