Legends: | Link to a Model | Reference cited by multiple papers |
References and models cited by this paper | References and models that cite this paper | |||||||||||||||||||||||
Behn CG, Brown EN, Scammell TE, Kopell NJ (2007) Mathematical model of network dynamics governing mouse sleep-wake behavior. J Neurophysiol 97:3828-40 [Journal] [PubMed] Börgers C, Kopell N (2005) Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comput 17:557-608 [Journal] [PubMed] Chandrasekaran L, Matveev V, Bose A (2009) Multistability of clustered states in a globally inhibitory network Physica D: Nonlinear Phenomena 238(3):253-263 [Journal]
Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]
Franci A, Drion G, Sepulchre R (2018) Robust and tunable bursting requires slow positive feedback. J Neurophysiol 119:1222-1234 [Journal] [PubMed]
Gabbiani F, Cox SJ (2010) Mathematics for Neuroscientists :1-486 [Journal]
Hill AA, Lu J, Masino MA, Olsen OH, Calabrese RL (2001) A model of a segmental oscillator in the leech heartbeat neuronal network. J Comput Neurosci 10:281-302 [PubMed]
Ivanchenko MV, Thomas Nowotny , Selverston AI, Rabinovich MI (2008) Pacemaker and network mechanisms of rhythm generation: cooperation and competition. J Theor Biol 253:452-61 [Journal] [PubMed]
Jalil S, Grigull J, Skinner FK (2004) Novel bursting patterns emerging from model inhibitory networks with synaptic depression. J Comput Neurosci 17:31-45 [Journal] [PubMed] Kötter R, Wickens J (1998) Striatal mechanisms in Parkinson's disease: new insights from computer modeling. Artif Intell Med 13:37-55 [PubMed] Kozlov A, Kotaleski JH, Aurell E, Grillner S, Lansner A (2001) Modeling of substance P and 5-HT induced synaptic plasticity in the lamprey spinal CPG: consequences for network pattern generation. J Comput Neurosci 11:183-200 [PubMed] LoFaro T, Kopell N (1999) Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. J Math Biol 38:479-533 [PubMed] Matveev V, Bose A, Nadim F (2007) Capturing the bursting dynamics of a two-cell inhibitory network using a one-dimensional map. J Comput Neurosci 23:169-87 [Journal] [PubMed]
Nadim F, Manor Y, Nusbaum MP, Marder E (1998) Frequency regulation of a slow rhythm by a fast periodic input. J Neurosci 18:5053-67 [Journal] [PubMed]
Rotstein HG, Pervouchine DD, Acker CD, Gillies MJ, White JA, Buhl EH, Whittington MA, Kopell N (2005) Slow and fast inhibition and an H-current interact to create a theta rhythm in a model of CA1 interneuron network. J Neurophysiol 94:1509-18 [Journal] [PubMed] Rubin JE, Shevtsova NA, Ermentrout GB, Smith JC, Rybak IA (2009) Multiple rhythmic states in a model of the respiratory central pattern generator. J Neurophysiol 101:2146-65 [Journal] [PubMed]
Saraga F, Skinner FK (2002) Dynamics and diversity in interneurons: a model exploration with slowly inactivating potassium currents. Neuroscience 113:193-203 [PubMed] Saraga F, Wu CP, Zhang L, Skinner FK (2003) Active dendrites and spike propagation in multi-compartment models of oriens-lacunosum/moleculare hippocampal interneurons. J Physiol 552:673-89 [Journal] [PubMed]
Sekerli M, Butera RJ (2005) Oscillations in a Simple Neuromechanical System: Underlying Mechanisms J Comp Neurosci 19:181-197 [Journal] Shpiro A, Curtu R, Rinzel J, Rubin N (2007) Dynamical characteristics common to neuronal competition models. J Neurophysiol 97:462-73 [Journal] [PubMed] Susswein AJ, Hurwitz I, Thorne R, Byrne JH, Baxter DA (2002) Mechanisms underlying fictive feeding in aplysia: coupling between a large neuron with plateau potentials activity and a spiking neuron. J Neurophysiol 87:2307-23 [Journal] [PubMed] Tabak J, Moore LE (1998) Simulation and parameter estimation study of a simple neuronal model of rhythm generation: role of NMDA and non-NMDA receptors. J Comput Neurosci 5:209-35 [PubMed] White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N (1998) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J Comput Neurosci 5:5-16 [PubMed] Wittman S, Abdala AP, Rubin JE (2019) Reduced computational modelling of Kölliker-Fuse contributions to breathing patterns in Rett syndrome. J Physiol 597:2651-2672 [Journal] [PubMed]
|