We study a minimal integrate-and-fire based model of a “ghostbursting” neuron under periodic stimulation. These neurons are involved in sensory processing in weakly electric fish. There exist regions in parameter space in which the model neuron is mode-locked to the stimulation. We analyse this locked behavior and examine the bifurcations that define the boundaries of these regions. Due to the ...

Cell-gene therapy is a dynamic constituent of novel medical biotechnology. Neurodegenerative disordersin which damage to or demise of specific brain cell types plays central role, are clear examples of diseasecandidate for cell replacement therapy. Dopaminergic (DAergic) neurons biosynthesize dopamine, a vitalneurotransmitter in the central nervous system. Due to the involveme...

We have developed a VLSI silicon neuron and a corresponding mathematical model that is a two state-variable system. We describe the circuit implementation and compare the behaviors observed in the silicon neuron and the mathematical model. We also perform bifurcation analysis of the mathematical model by varying the externally applied current and show that the behaviors exhibited by the silicon...

background and objective: deprenyl is a drug for the treatment of parkinson’s disease, where the dopaminergic neurons are the target of this drug. several reports also documented that deprenyl has an effect on the sensory and motor neurons. there are some reports about the mode of action of deprenyl on motoneurons as a neuroprotective agent, while others believe that deprenyl acts as a neurores...

shows the switching configuration corresponding to Fig. 3(b). Tables I and I1 summarize the simulation results, where the average number of iteration steps required for the convergence and the convergence frequency, and the average number of demands in the local minimum solutions are compared in seven models. Note that for each model, 100 simulation runs were performed from different initial va...

In-depth understanding of the generic mechanisms of transitions between distinct patterns of the activity in realistic models of individual neurons presents a fundamental challenge for the theory of applied dynamical systems. The knowledge about likely mechanisms would give valuable insights and predictions for determining basic principles of the functioning of neurons both isolated and network...

A two-compartment neuronal model is investigated. The model neuron is composed of two interconnected parts – a dendrite and a trigger zone, with a white noise input in the dendritic compartment. The first and the second moments of the stochastic processes describing the membrane depolarization in both compartments are derived and investigated. When a firing threshold is not imposed, the level o...

We study the effects of sinusoidally modulating the current injected into a model sensory neuron from the weakly electric fish Apteronotus leptorhynchus. This neuron's behavior is known to switch from quiescence to periodic firing to bursting as the injected current is increased. The bifurcation separating periodic from bursting behavior is a saddle-node bifurcation of periodic orbits, and it h...

In this project, we implemented the circuit which replicates the behavior of a single neuron, by Izhikevich's neuron model. For the ordinary differential equations described in the model, the translinear circuit with the subthreshold-region MOS devices were used. Different neuron models are briefly introduced in chapter 1, followed by the translinear principle in chapter 2. Chapter 3 we discuss...