A Low Dimensional Description of Globally Coupled Heterogeneous Neural Networks of Excitatory and Inhibitory Neurons Export

@article{Stefanescu2008a, abstract = {Neural networks consisting of globally coupled excitatory and inhibitory nonidentical neurons may exhibit a complex dynamic behavior including synchronization, multiclustered solutions in phase space, and oscillator death. We investigate the conditions under which these behaviors occur in a multidimensional parametric space defined by the connectivity strengths and dispersion of the neuronal membrane excitability. Using mode decomposition techniques, we further derive analytically a low dimensional description of the neural population dynamics and show that the various dynamic behaviors of the entire network can be well reproduced by this reduced system. Examples of networks of FitzHugh-Nagumo and Hindmarsh-Rose neurons are discussed in detail.}, author = {Stefanescu, Roxana A. and Jirsa, Viktor K.}, citeulike-article-id = {3579241}, citeulike-linkout-0 = {http://dx.doi.org/10.1371/journal.pcbi.1000219}, day = {14}, doi = {10.1371/journal.pcbi.1000219}, journal = {PLoS Comput Biol}, keywords = {inhibition, methods, networks, oscillations}, month = {November}, number = {11}, pages = {e1000219+}, posted-at = {2009-11-10 12:05:38}, priority = {2}, publisher = {Public Library of Science}, title = {A Low Dimensional Description of Globally Coupled Heterogeneous Neural Networks of Excitatory and Inhibitory Neurons}, url = {http://dx.doi.org/10.1371/journal.pcbi.1000219}, volume = {4}, year = {2008} }

TY - JOUR ID - Stefanescu2008a L3 - citeulike-article-id:3579241 N2 - Neural networks consisting of globally coupled excitatory and inhibitory nonidentical neurons may exhibit a complex dynamic behavior including synchronization, multiclustered solutions in phase space, and oscillator death. We investigate the conditions under which these behaviors occur in a multidimensional parametric space defined by the connectivity strengths and dispersion of the neuronal membrane excitability. Using mode decomposition techniques, we further derive analytically a low dimensional description of the neural population dynamics and show that the various dynamic behaviors of the entire network can be well reproduced by this reduced system. Examples of networks of FitzHugh-Nagumo and Hindmarsh-Rose neurons are discussed in detail. IS - 11 JF - PLoS Comput Biol TI - A Low Dimensional Description of Globally Coupled Heterogeneous Neural Networks of Excitatory and Inhibitory Neurons PB - Public Library of Science VL - 4 SP - e1000219 KW - inhibition KW - methods KW - networks KW - oscillations AU - Stefanescu, Roxana AU - Jirsa, Viktor PY - 2008/11/14/ UR - http://dx.doi.org/10.1371/journal.pcbi.1000219 ER -