References and models cited by this paper | References and models that cite this paper | |||||||||
Acker CD, Haas JS, Kopell N, White JA (2001) Predicting Synchrony in the Oscillatory Stellate Cells of the Entorhinal Cortex Society for Neuroscience Program No. 572.14 Desmaisons D, Vincent JD, Lledo PM (1999) Control of action potential timing by intrinsic subthreshold oscillations in olfactory bulb output neurons. J Neurosci 19:10727-37 [PubMed] Ermentrout B (1992) Siam J Appl Math 52:1665 Ermentrout GB (2002) Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM) Ermentrout GB, Kopell N (1991) Multiple pulse interactions and averaging in systems of coupled neural oscillators. J Math Biol 29:195-217 Goel P, Ermentrout B (2002) Synchrony, stability, and firing patterns in pulse coupled oscillators Physica D 163:191-216 Hoppensteadt FC, Izhikevich EM (1997) Weakly Connected Neural Networks :90 Izhikevich EM (2000) Neural excitability, spiking and bursting Int J Bifurcat Chaos Appl Sci Eng 10:1171-1266 Kuramoto Y (2003) Chemical Oscillations, Waves, and Turbulence Lagier S, Carleton A, Lledo PM (2004) Interplay between local GABAergic interneurons and relay neurons generates gamma oscillations in the rat olfactory bulb. J Neurosci 24:4382-92 [Journal] [PubMed] Murray JD (1993) Mathematical Biology Netoff TI, Banks MI, Dorval AD, Acker CD, Haas JS, Kopell N, White JA (2005) Synchronization in hybrid neuronal networks of the hippocampal formation. J Neurophysiol 93:1197-208 [Journal] [PubMed] Oprisan SA, Canavier CC (2002) The influence of limit cycle topology on the phase resetting curve. Neural Comput 14:1027-57 [Journal] [PubMed] Oprisan SA, Prinz AA, Canavier CC (2004) Phase resetting and phase locking in hybrid circuits of one model and one biological neuron. Biophys J 87:2283-98 [Journal] [PubMed] Oprisan SA, Thirumalai V, Canavier CC (2003) Dynamics from a time series: can we extract the phase resetting curve from a time series? Biophys J 84:2919-28 [Journal] [PubMed] Press WH, Teukolsky SA, Vellerling WT, Flannery BP (1992) Numerical Recipes In C: The Art Of Scientific Computing Reyes AD, Fetz EE (1993) Effects of transient depolarizing potentials on the firing rate of cat neocortical neurons. J Neurophysiol 69:1673-83 [Journal] [PubMed] Rinzel J, Ermentrout B (1998) Analysis of neural excitability and oscillations. Methods In Neuronal Modeling 2nd Edition, Segev I, Koch C, ed. pp.251 Rosenblum MG, Pikovsky AS (2001) Detecting direction of coupling in interacting oscillators. Phys Rev E Stat Nonlin Soft Matter Phys 64:045202 [Journal] [PubMed] Winfree A (2001) The Geometry of Biological Time (2nd ed) | Couto J, Linaro D, De Schutter E, Giugliano M (2015) On the firing rate dependency of the phase response curve of rat Purkinje neurons in vitro. PLoS Comput Biol 11:e1004112 [Journal] [PubMed]
David F, Linster C, Cleland TA (2008) Lateral dendritic shunt inhibition can regularize mitral cell spike patterning. J Comput Neurosci 25:25-38 [Journal] [PubMed]
Kopell N, Borgers C, Pervouchine D, Malerba P, Tort ABL (2010) Gamma and theta rhythms in biophysical models of hippocampal circuits Hippocampal Microcircuits: A Computational Modeller`s Resource Book. Ch. 15., Cutsuridis V, Graham BF, Cobb S, Vida I, ed. [Journal]
Li G, Cleland TA (2017) A coupled-oscillator model of olfactory bulb gamma oscillations. PLoS Comput Biol 13:e1005760 [Journal] [PubMed]
Marella S, Ermentrout B (2010) Amplification of asynchronous inhibition-mediated synchronization by feedback in recurrent networks. PLoS Comput Biol 6:e1000679 [Journal] [PubMed] |