Tjeerd Olde Scheper

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A mathematical model for the intracellular circadian rhythm generator has been studied, based on a negative feedback of protein products on the transcription rate of their genes. The study is an attempt at examining minimal but biologically realistic requirements for a negative molecular feedback loop involving considerably faster reactions, to produce(More)
The basic premise of this research is that deterministic chaos is a powerful mechanism for the storage and retrieval of information in the dynamics of artificial neural networks. Substantial evidence has been found in biological studies for the presence of chaos in the dynamics of natural neuronal systems [1-3]. Many have suggested that this chaos plays a(More)
Chaos provides many interesting properties that can be used to achieve computational tasks. Such properties are sensitivity to initial conditions, space filling, control and synchronization. Chaotic neural models have been devised to exploit such properties. In this paper, a chaotic spiking neuron model is investigated experimentally. This investigation is(More)
A fundamental question in the field of circadian rhythms concerns the biochemical and molecular nature of the oscillator. There is strong evidence that circadian oscillators are cell autonomous and rely on periodic gene expression. In Drosophila, Neurospora, Aplysia, and vertebrates, circadian oscillators are thought to be based on molecular autoregulatory(More)
This tutorial reports on the use of nonlinear dynamics in several different models of neural systems. We discuss a number of distinct approaches to neural information processing based on nonlinear dynamics. The models we consider combine controlled chaotic models with phenomenological models of spiking mechanisms as well as using weakly chaotic systems. The(More)