Origin of Bursting through Homoclinic Spike Adding in a Neuron Model Export

@article{citeulike:1302046, abstract = {The origin of spike adding in bursting activity is studied in a reduced model of the leech heart interneuron. We show that, as the activation kinetics of the slow potassium current are shifted towards depolarized membrane potential values, the bursting phase accommodates incrementally more spikes into the train. This phenomenon is attested to be caused by the homoclinic bifurcations of a saddle periodic orbit setting the threshold between the tonic spiking and quiescent phases of the bursting. The fundamentals of the mechanism are revealed through the analysis of a family of the onto Poincar\é return mappings.}, author = {Channell, Paul and Cymbalyuk, Gennady and Shilnikov, Andrey}, citeulike-article-id = {1302046}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRLTAO000098000013134101000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v98/e134101}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/PhysRevLett.98.134101}, doi = {10.1103/PhysRevLett.98.134101}, journal = {Physical Review Letters}, keywords = {bursting, chaos, coupled, neurons}, number = {13}, posted-at = {2007-05-17 13:34:36}, priority = {2}, publisher = {APS}, title = {Origin of Bursting through Homoclinic Spike Adding in a Neuron Model}, url = {http://dx.doi.org/10.1103/PhysRevLett.98.134101}, volume = {98}, year = {2007} }

TY - JOUR ID - citeulike:1302046 L3 - citeulike-article-id:1302046 N2 - The origin of spike adding in bursting activity is studied in a reduced model of the leech heart interneuron. We show that, as the activation kinetics of the slow potassium current are shifted towards depolarized membrane potential values, the bursting phase accommodates incrementally more spikes into the train. This phenomenon is attested to be caused by the homoclinic bifurcations of a saddle periodic orbit setting the threshold between the tonic spiking and quiescent phases of the bursting. The fundamentals of the mechanism are revealed through the analysis of a family of the onto Poincaré return mappings. IS - 13 JF - Physical Review Letters TI - Origin of Bursting through Homoclinic Spike Adding in a Neuron Model PB - APS VL - 98 KW - bursting KW - chaos KW - coupled KW - neurons AU - Channell, Paul AU - Cymbalyuk, Gennady AU - Shilnikov, Andrey PY - 2007/// UR - http://dx.doi.org/10.1103/PhysRevLett.98.134101 ER -