Frequency Modulation Dynamics in Neural Networks
| Autor: | F. C. Hoppensteadt |
|---|---|
| Rok vydání: | 1987 |
| Předmět: |
Neurons
Neural Conduction Neurotransmitter Agents Quantitative Biology::Neurons and Cognition Artificial neural network Computer science Respiration General Neuroscience Diaphragm Models Neurological Action Potentials Rotation matrix Function (mathematics) Topology Synaptic Transmission General Biochemistry Genetics and Molecular Biology Synchronization Maxima and minima History and Philosophy of Science Synapses Mechanoreceptors Frequency modulation Mathematics Energy (signal processing) |
| Zdroj: | Annals of the New York Academy of Sciences. 504:52-61 |
| ISSN: | 1749-6632 0077-8923 |
| DOI: | 10.1111/j.1749-6632.1987.tb48725.x |
| Popis: | The VCON model described here shares certain qualitative features of stimulus-response characteristics with the data in FIGURE 1 and TABLE 1. At the same time, it provides an uncomplicated methodology for modelling neural networks that emphasizes their frequency aspects. In particular, models based on VCONs are amenable to the rotation vector method, which can be used to uncover stable synchronization of firing within a network. This is described in the appendix, where it is shown that the stable firing patterns within the network correspond to minima of an associated (local) energy function. We have seen here how a model of a simple CPG for breathing can be constructed and analyzed. Similar models for rhythm splitting of small mammal activity cycles, sound location networks, and motility in the gastrointestinal tract have been constructed, and large networks of VCONs have been shown to have stable spatial patterns of synchronization. |
| Databáze: | OpenAIRE |
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