A generalized phase resetting method for phase-locked modes prediction
| Autor: | Dave I. Austin, Sorinel A. Oprisan |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Computer science Physiology lcsh:Medicine Action Potentials Biochemistry Phase Determination Polynomials Synaptic Transmission 0302 clinical medicine Animal Cells Medicine and Health Sciences lcsh:Science Membrane potential Neurons Multidisciplinary Artificial neural network Oscillation Brain Electrophysiology Circadian Oscillators Physical Sciences Crystallographic Techniques Cellular Types Research Article Computer and Information Sciences Neural Networks Models Neurological Phase (waves) Neurophysiology Type (model theory) Research and Analysis Methods Stability (probability) Membrane Potential Set (abstract data type) 03 medical and health sciences Control theory Interneurons Computer Simulation Quantitative Biology::Neurons and Cognition lcsh:R Mode (statistics) Biology and Life Sciences Computational Biology Cell Biology Feedback loop Brain Waves 030104 developmental biology Algebra Cellular Neuroscience lcsh:Q Relative phase Nerve Net Chronobiology 030217 neurology & neurosurgery Mathematics Neuroscience |
| Zdroj: | PLoS ONE PLoS ONE, Vol 12, Iss 3, p e0174304 (2017) |
| ISSN: | 1932-6203 |
| Popis: | We derived analytically and checked numerically a set of novel conditions for the existence and the stability of phase-locked modes in a biologically relevant master-slave neural network with a dynamic feedback loop. Since neural oscillators even in the three-neuron network investigated here receive multiple inputs per cycle, we generalized the concept of phase resetting to accommodate multiple inputs per cycle. We proved that the phase resetting produced by two or more stimuli per cycle can be recursively computed from the traditional, single stimulus, phase resetting. We applied the newly derived generalized phase resetting definition to predicting the relative phase and the stability of a phase-locked mode that was experimentally observed in this type of master-slave network with a dynamic loop network. |
| Databáze: | OpenAIRE |
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