This paper presents a modified Morris-Lecar model by incorporating the sodium inward current. The dynamical behaviour of in response to key parameters is investigated. exhibits various excitability properties as values are varied. We have examined effects changes maximum ion conductances and external current on dynamics membrane potential. A detailed numerical bifurcation analysis conducted. st...

Most of the beautiful biological functions in neural systems are expected to happen considering the system with memory effect. Fractional differential equations are very useful to investigate long-range interacting systems or systems with memory effect. In this paper, a fractional order nonlinear three dimensional modified Morris-Lecar neural system (M-L system) has been studied. The fractional...

We study bifurcations arising in a system of two synaptically interconnected neurons where the individual neurons are represented by the Morris-Lecar model. The synaptic interconnection strength and externally applied input dc current are treated as bifurcation parameters and the critical values that result in neural excitability are identified. It is seen that the synaptic coupling strength, (...

Intrinsic noise arising from the stochastic opening and closing of voltage-gated ion channels has been shown experimentally and mathematically to have important effects on a neuron's function. Study of classical neuron models with stochastic ion channels is becoming increasingly important, especially in understanding a cell's ability to produce subthreshold oscillations and to respond to weak p...

In this paper a novel VLSI implementation is proposed to emulate ion channels gating dynamics of neurons. The technique is demonstrated by implementing K ion channels of a Morris-Lecar (ML) neuron model. The circuit emulates the opening and closing of 256 individual ion channels and is implemented in 0.18μm CMOS technology. Simulation results indicate that the circuit consumes 2.7μA from a 0.8V...

Recent theoretical and experimental work indicates that neurons tune themselves to maintain target levels of excitation by modulating ion channel expression and synaptic strengths. As a result, functionally equivalent circuits can produce similar activity despite disparate underlying network and cellular properties. To experimentally test the extent to which synaptic and intrinsic conductances ...