We propose a method for the design of electronic bursting neurons, based on a simple conductance neuron model. A burster is a particular class of neuron that displays fast spiking regimes alternating with resting periods. Our method is based on the use of an electronic circuit that implements the well-known Morris–Lecar neuron model. We use this circuit as a tool of analysis to explore some reg...

This work explores four nonlinear classical models of neural oscillators, the HodgkinHuxley model, the Fitzhugh-Nagumo model, the Morris-Lecar model, and the Hindmarsh-Rose model. Nonlinear contraction theory is used to develop observers and perform synchronization analysis on these systems. Neural oscillation and signaling models are based on the biological function of the neuron, with behavio...

We have a developed an analog VLSI system that models the coordination of neurobiological segmental oscillators. We have implemented and tested a system that consists of a chain of eleven pattern generating circuits that are synaptically coupled to their nearest neighbors. Each pattern generating circuit is implemented with two silicon Morris-Lecar neurons that are connected in a reciprocally i...

How do people remember individual values from a set of numbers? Previous research has demonstrated seemingly conflicting findings. In some tasks, participants implicitly aggregate number sets (Morris & Masnick, in press), but in other tasks, participants recognized individual values, even for sets of eight, at levels greater than chance (Cravalho, Morris, Was, & Masnick, 2013). In the current p...

Fractional calculus is a new approach for modeling biological and physical phenomena with memory effects. uses differential integral operators including non-integer orders to study the non-linear behavior of systems some degrees fractionality or fractality. Since long properties neuronal responses can be better explained using fractional derivative, in this we generalize integer-order Morris-Le...

In a previous letter to the editor, Sachs and Lecar (1991) described a model for gating of mechanosensitive ion channels. This treatment draws on our "gating-spring" model for gating, which involves an elastic element that conveys force to the channel (Corey and Hudspeth, 1983; Howard and Hudspeth, 1988) and extends it to deal with the elasticity of the channel protein itself. The gating-spring...