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Bertram R, Butte MJ, Kiemel T, Sherman A (1995) Topological and phenomenological classification of bursting oscillations. Bull Math Biol 57:413-39 [PubMed]

References and models cited by this paper

References and models that cite this paper

Bertram R, Rhoads J, Cimbora WP (2008) A phantom bursting mechanism for episodic bursting. Bull Math Biol 70:1979-93 [Journal] [PubMed]
   A phantom bursting mechanism for episodic bursting (Bertram et al 2008) [Model]
Breen BJ, Gerken WC, Butera RJ (2003) Hybrid integrate-and-fire model of a bursting neuron. Neural Comput 15:2843-62 [Journal] [PubMed]
Butera RJ, Rinzel J, Smith JC (1999) Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons. J Neurophysiol 82:382-97 [Journal] [PubMed]
   Respiratory pacemaker neurons (Butera et al 1999) [Model]
Channell P, Fuwape I, Neiman AB, Shilnikov AL (2009) Variability of bursting patterns in a neuron model in the presence of noise. J Comput Neurosci 27:527-42 [Journal] [PubMed]
   Reduced leech heart interneuron (Channell et al. 2009) [Model]
Diekman CO, Thomas PJ, Wilson CG (2017) Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. J Neurophysiol 118:2194-2215 [Journal] [PubMed]
   Respiratory control model with brainstem CPG and sensory feedback (Diekman, Thomas, and Wilson 2017) [Model]
Doi S, Kumagai S (2005) Generation of very slow neuronal rhythms and chaos near the Hopf bifurcation in single neuron models. J Comput Neurosci 19:325-56 [Journal] [PubMed]
Doiron B, Laing C, Longtin A, Maler L (2002) Ghostbursting: a novel neuronal burst mechanism. J Comput Neurosci 12:5-25 [PubMed]
Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]
   Mathematical Foundations of Neuroscience (Ermentrout and Terman 2010) [Model]
Golomb D, Donner K, Shacham L, Shlosberg D, Amitai Y, Hansel D (2007) Mechanisms of firing patterns in fast-spiking cortical interneurons. PLoS Comput Biol 3:e156 [Journal] [PubMed]
   Fast-spiking cortical interneuron (Golomb et al. 2007) [Model]
Golomb D, Shedmi A, Curtu R, Ermentrout GB (2006) Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: a modeling study. J Neurophysiol 95:1049-67 [Journal] [PubMed]
   Persistent synchronized bursting activity in cortical tissues (Golomb et al 2005) [Model]
Golomb D, Yue C, Yaari Y (2006) Contribution of persistent Na+ current and M-type K+ current to somatic bursting in CA1 pyramidal cells: combined experimental and modeling study. J Neurophysiol 96:1912-26 [Journal] [PubMed]
   CA1 pyramidal cell: I_NaP and I_M contributions to somatic bursting (Golomb et al 2006) [Model]
Hayut I, Fanselow EE, Connors BW, Golomb D (2011) LTS and FS inhibitory interneurons, short-term synaptic plasticity, and cortical circuit dynamics. PLoS Comput Biol 7:e1002248 [Journal] [PubMed]
   Rate model of a cortical RS-FS-LTS network (Hayut et al. 2011) [Model]
Li YX, Bertram R, Rinzel J (1996) Modeling N-methyl-D-aspartate-induced bursting in dopamine neurons. Neuroscience 71:397-410 [PubMed]
   Bursting in dopamine neurons (Li YX et al 1996) [Model]
Mandelblat Y, Etzion Y, Grossman Y, Golomb D (2001) Period doubling of calcium spike firing in a model of a Purkinje cell dendrite. J Comput Neurosci 11:43-62 [PubMed]
Phillips AJ, Robinson PA (2007) A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. J Biol Rhythms 22:167-79 [Journal] [PubMed]
   Quantitative model of sleep-wake dynamics (Phillips & Robinson 2007) [Model]
Rubin JE, Hayes JA, Mendenhall JL, Del Negro CA (2009) Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations. Proc Natl Acad Sci U S A 106:2939-44 [Journal] [PubMed]
   Ca2+-activated I_CAN and synaptic depression promotes network-dependent oscil. (Rubin et al. 2009) [Model]
Shorten PR, Wall DJ (2000) A Hodgkin-Huxley model exhibiting bursting oscillations. Bull Math Biol 62:695-715 [Journal] [PubMed]
Tabak J, Toporikova N, Freeman ME, Bertram R (2007) Low dose of dopamine may stimulate prolactin secretion by increasing fast potassium currents. J Comput Neurosci 22:211-22 [Journal] [PubMed]
   Low dose of dopamine may stimulate prolactin secretion by increasing K currents (Tabak et al. 2006) [Model]
Teka W, Tabak J, Bertram R (2012) The relationship between two fast/slow analysis techniques for bursting oscillations. Chaos 22:043117 [Journal] [PubMed]
   The relationship between two fast/slow analysis techniques for bursting oscill. (Teka et al. 2012) [Model]
Vo T, Tabak J, Bertram R, Wechselberger M (2014) A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells. J Comput Neurosci 36:259-78 [Journal] [PubMed]
   Understanding how fast activating K+ channels promote bursting in pituitary cells (Vo et al 2014) [Model]
Yu N, Canavier CC (2015) A Mathematical Model of a Midbrain Dopamine Neuron Identifies Two Slow Variables Likely Responsible for Bursts Evoked by SK Channel Antagonists and Terminated by Depolarization Block. J Math Neurosci 5:5 [Journal] [PubMed]
   Phase plane reveals two slow variables in midbrain dopamine neuron bursts (Yu and Canavier, 2015) [Model]
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