Applications of the Poincare mapping technique to analysis of neuronal dynamics Export

@article{channell_07_applications, abstract = {A single neuron can demonstrate different spiking and bursting patterns which can be elicited naturally depending on modulation status or artificially due to disturbances caused by distinct recording techniques. For example, when pharmacologically isolated with bicuculline a leech oscillatory heart interneuron can show an endogenous bursting activity while recorded extracellularly, or the periodic tonic spiking activity while recorded intracellularly. Transitions between these oscillatory patterns are in general non-local and could not be understood using only the local analysis of the neuron's rest states, but the global theory tools such as the Poincare return mapping analysis. The mappings constructed then predict the temporal characteristics of the spiking and bursting patterns and allow one to study transitions between them. The technique is directly applicable to neuronal models of various types, as well as is aimed to be employed in neurophysiological experiments.}, author = {Channell and Cymbalyuk, Gennady and Shilnikov, Andrey}, booktitle = {Computational Neuroscience: Trends in Research 2007, Computational Neuroscience 2006}, citeulike-article-id = {1457450}, citeulike-linkout-0 = {http://www.sciencedirect.com/science/article/B6V10-4M9HVRS-G/2/1e6d4cddbc2d72907296a6bf0fc4d5cf}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6V10-4M9HVRS-G/2/1e6d4cddbc2d72907296a6bf0fc4d5cf}, journal = {Neurocomputing}, keywords = {burst, chaos, coding, dynamics, hh}, month = {June}, number = {10-12}, pages = {2107--2111}, posted-at = {2007-07-15 11:40:53}, priority = {2}, title = {Applications of the Poincare mapping technique to analysis of neuronal dynamics}, url = {http://www.sciencedirect.com/science/article/B6V10-4M9HVRS-G/2/1e6d4cddbc2d72907296a6bf0fc4d5cf}, volume = {70}, year = {2007} }

TY - JOUR ID - channell_07_applications L3 - citeulike-article-id:1457450 N2 - A single neuron can demonstrate different spiking and bursting patterns which can be elicited naturally depending on modulation status or artificially due to disturbances caused by distinct recording techniques. For example, when pharmacologically isolated with bicuculline a leech oscillatory heart interneuron can show an endogenous bursting activity while recorded extracellularly, or the periodic tonic spiking activity while recorded intracellularly. Transitions between these oscillatory patterns are in general non-local and could not be understood using only the local analysis of the neuron's rest states, but the global theory tools such as the Poincare return mapping analysis. The mappings constructed then predict the temporal characteristics of the spiking and bursting patterns and allow one to study transitions between them. The technique is directly applicable to neuronal models of various types, as well as is aimed to be employed in neurophysiological experiments. IS - 10-12 JF - Neurocomputing EP - 2111 TI - Applications of the Poincare mapping technique to analysis of neuronal dynamics VL - 70 T2 - Computational Neuroscience: Trends in Research 2007, Computational Neuroscience 2006 SP - 2107 KW - burst KW - chaos KW - coding KW - dynamics KW - hh AU - Channell AU - Cymbalyuk, Gennady AU - Shilnikov, Andrey PY - 2007/June// UR - http://www.sciencedirect.com/science/article/B6V10-4M9HVRS-G/2/1e6d4cddbc2d72907296a6bf0fc4d5cf ER -