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Abbott LF, Marder E, Hooper SL (1991) Oscillating networks: control of burst duration by electrically coupled neurons Neural Comput 3:487-497 Adams WB, Levitan IB (1985) Voltage and ion dependences of the slow currents which mediate bursting in Aplysia neurone R15. J Physiol 360:69-93 [PubMed] Alonso A, Llinás RR (1992) Electrophysiology of the mammillary complex in vitro. II. Medial mammillary neurons. J Neurophysiol 68:1321-31 [Journal] [PubMed] Atwater I, Rinzel J (1986) The b-cell bursting pattern and intracellular calcium. Chapter 22. Ionic Channels in Cells and Model Systems., Latorre R, ed. pp.353 Balis UJ, Morris KF, Koleski J, Lindsey BG (1994) Simulations of a ventrolateral medullary neural network for respiratory rhythmogenesis inferred from spike train cross-correlation. Biol Cybern 70:311-27 [PubMed] Benson JA, Levitan IB (1983) Serotonin increases an anomalously rectifying K+ current in the Aplysia neuron R15. Proc Natl Acad Sci U S A 80:3522-5 [PubMed] Bertram R, Butte MJ, Kiemel T, Sherman A (1995) Topological and phenomenological classification of bursting oscillations. Bull Math Biol 57:413-39 [PubMed] Bertram R, Smolen P, Sherman A, Mears D, Atwater I, Martin F, Soria B (1995) A role for calcium release-activated current (CRAC) in cholinergic modulation of electrical activity in pancreatic beta-cells. Biophys J 68:2323-32 [Journal] [PubMed] Botros SM, Bruce EN (1990) Neural network implementation of a three-phase model of respiratory rhythm generation. Biol Cybern 63:143-53 [PubMed] Brown AM, Schwindt PC, Crill WE (1994) Different voltage dependence of transient and persistent Na+ currents is compatible with modal-gating hypothesis for sodium channels. J Neurophysiol 71:2562-5 [Journal] [PubMed] Butera RB, Byrne JH (1997) Transient responses of a modeled bursting neuron: Analysis with equilibrium and averaged nullclines Biol Cyber 77:307-322 Butera RJ, Clark JW, Canavier CC, Baxter DA, Byrne JH (1995) Analysis of the effects of modulatory agents on a modeled bursting neuron: dynamic interactions between voltage and calcium dependent systems. J Comput Neurosci 2:19-44 [PubMed]
Butera RJ, Rinzel J, Smith JC (1999) Models of respiratory rhythm generation in the pre-Bötzinger complex. II. Populations Of coupled pacemaker neurons. J Neurophysiol 82:398-415 [Journal] [PubMed] Butera RJ, Smith JC, Rinzel J (1988) Mechanisms for synchronized bursting of pacemaker neurons in the pre-botzinger complex: computational models and experimental observations. Soc Neurosci Abstr 24:874 Butera RJ, Smith JC, Rinzel J (1997) Rhythm generation and synchronization in a population of bursting neurons with excitatory synaptic coupling: a model for the respiratory oscillator kernel. Soc Neurosci Abstr 23:1252 Butera RJ, Smith JC, Rinzel J (1998) Novel frequency control in a population of bursting neurons with excitatory synaptic coupling. Computational Neuroscience: Trends in Research, Bower J, ed. pp.301 Calabrese RL, De Schutter E (1992) Motor-pattern-generating networks in invertebrates: modeling our way toward understanding. Trends Neurosci 15:439-45 [PubMed] Canavier CC, Clark JW, Byrne JH (1991) Simulation of the bursting activity of neuron R15 in Aplysia: role of ionic currents, calcium balance, and modulatory transmitters. J Neurophysiol 66:2107-24 [Journal] [PubMed]
Chay TR, Keizer J (1985) Theory of the effect of extracellular potassium on oscillations in the pancreatic beta-cell. Biophys J 48:815-27 [Journal] [PubMed] Cohen S, Hindmarsh A (1996) CVODE, a stiff-nonstiff ODE solver in C. Comput Physics 10:138-143 Del Negro CA, Hsiao CF, Chandler SH, Garfinkel A (1998) Evidence for a novel bursting mechanism in rodent trigeminal neurons. Biophys J 75:174-82 [Journal] [PubMed] Demir SS, Butera RJ, DeFranceschi AA, Clark JW, Byrne JH (1997) Phase sensitivity and entrainment in a modeled bursting neuron. Biophys J 72:579-94 [PubMed] Devries G, Miura RM (1998) Analysis of a class of models of bursting electrical activity in pancreatic b-cells. Siam J Appl Math 58:607-635 Drummond AH, Benson JA, Levitan IB (1980) Serotonin-induced hyperpolarization of an indentified Aplysia neuron is mediated by cyclic AMP. Proc Natl Acad Sci U S A 77:5013-7 [PubMed] Duffin J (1991) A model of respiratory rhythm generation. Neuroreport 2:623-6 [PubMed] Epstein IR, Marder E (1990) Multiple modes of a conditional neural oscillator. Biol Cybern 63:25-34 [Journal] [PubMed]
Feldman JL, Smith JC (1989) Cellular mechanisms underlying modulation of breathing pattern in mammals. Ann N Y Acad Sci 563:114-30 [PubMed] Fleidervish IA, Friedman A, Gutnick MJ (1996) Slow inactivation of Na+ current and slow cumulative spike adaptation in mouse and guinea-pig neocortical neurones in slices. J Physiol 493 ( Pt 1):83-97 [PubMed] Fleidervish IA, Gutnick MJ (1996) Kinetics of slow inactivation of persistent sodium current in layer V neurons of mouse neocortical slices. J Neurophysiol 76:2125-30 [Journal] [PubMed] Franceschetti S, Guatteo E, Panzica F, Sancini G, Wanke E, Avanzini G (1995) Ionic mechanisms underlying burst firing in pyramidal neurons: intracellular study in rat sensorimotor cortex. Brain Res 696:127-39 [PubMed] French CR, Sah P, Buckett KJ, Gage PW (1990) A voltage-dependent persistent sodium current in mammalian hippocampal neurons. J Gen Physiol 95:1139-57 [PubMed] Funk GD, Smith JC, Feldman JL (1993) Generation and transmission of respiratory oscillations in medullary slices: role of excitatory amino acids. J Neurophysiol 70:1497-515 [Journal] [PubMed] Gola M (1974) [Bursting pacemaker neurons in molluscs. Slow cyclic variation of ionic conductances (author's transl)]. Pflugers Arch 352:17-36 [PubMed] Gottschalk A, Ogilvie MD, Richter DW, Pack AI (1994) Computational aspects of the respiratory central pattern generator. Neural Comput 6:56-68 Hoehn K, Watson TW, MacVicar BA (1993) A novel tetrodotoxin-insensitive, slow sodium current in striatal and hippocampal neurons. Neuron 10:543-52 [PubMed] Hopkins WF, Satin LS, Cook DL (1991) Inactivation kinetics and pharmacology distinguish two calcium currents in mouse pancreatic B-cells. J Membr Biol 119:229-39 [PubMed] Jack JJB, Noble D, Tsien RW (1983) Linear cable theory Electrical Current Flow in Excitable Cells, Jack JJB:Noble D:Tsien RW, ed. pp.25 Johnson SM, Smith JC, Funk GD, Feldman JL (1994) Pacemaker behavior of respiratory neurons in medullary slices from neonatal rat. J Neurophysiol 72:2598-608 [Journal] [PubMed] Keizer J, Smolen P (1991) Bursting electrical activity in pancreatic beta cells caused by Ca(2+)- and voltage-inactivated Ca2+ channels. Proc Natl Acad Sci U S A 88:3897-901 [PubMed] Koshiya N, Smith JC (1998) Real-time visualization of respiratory pacemaker neuron activity with calcium-sensitive dyes in the pre-Botziner complex in vitro. Soc Neurosci Abstr 24:531 Koshiya N, Smith JC (1999) Neuronal pacemaker for breathing visualized in vitro. Nature 400:360-3 [Journal] [PubMed] Kramer RH, Zucker RS (1985) Calcium-dependent inward current in Aplysia bursting pace-maker neurones. J Physiol 362:107-30 [PubMed] Krinskii VI, Kokoz IuM (1973) [Analysis of the equations of excitable membranes. I. Reduction of the Hodgkins-Huxley equations to a 2d order system]. Biofizika 18:506-11 [PubMed] Li YX, Bertram R, Rinzel J (1996) Modeling N-methyl-D-aspartate-induced bursting in dopamine neurons. Neuroscience 71:397-410 [PubMed]
Li Z, Hatton GI (1996) Oscillatory bursting of phasically firing rat supraoptic neurones in low-Ca2+ medium: Na+ influx, cytosolic Ca2+ and gap junctions. J Physiol 496 ( Pt 2):379-94 [PubMed] Llinás RR (1988) The intrinsic electrophysiological properties of mammalian neurons: insights into central nervous system function. Science 242:1654-64 [PubMed] Lüthi A, McCormick DA (1998) H-current: properties of a neuronal and network pacemaker. Neuron 21:9-12 [PubMed] Mathieu PA, Roberge FA (1971) Characteristics of pacemaker oscillations in Aplysia neurons. Can J Physiol Pharmacol 49:787-95 [PubMed] McCormick DA, Huguenard JR (1992) A model of the electrophysiological properties of thalamocortical relay neurons. J Neurophysiol 68:1384-400 [Journal] [PubMed] Nadim F, Calabrese RL (1997) A slow outward current activated by FMRFamide in heart interneurons of the medicinal leech. J Neurosci 17:4461-72 [PubMed] Ogilvie MD, Gottschalk A, Anders K, Richter DW, Pack AI (1992) A network model of respiratory rhythmogenesis. Am J Physiol 263:R962-75 [Journal] [PubMed] Oka Y (1996) Characterization of TTX-resistant persistent Na+ current underlying pacemaker potentials of fish gonadotropin-releasing hormone (GnRH) neurons. J Neurophysiol 75:2397-404 [Journal] [PubMed] Onimaru H, Ballanyi K, Richter DW (1996) Calcium-dependent responses in neurons of the isolated respiratory network of newborn rats. J Physiol 491 ( Pt 3):677-95 [PubMed] Partridge LD, Swandulla D (1988) Calcium-activated non-specific cation channels. Trends Neurosci 11:69-72 [PubMed] Pernarowski M, Miura RM, Kevorkian J (1992) Perturbation techniques for models of bursting electrical activity in pancreatic b-cells. Siam J Appl Math 52:1627-1650 Ramirez JM, Quellmalz UJ, Richter DW (1996) Postnatal changes in the mammalian respiratory network as revealed by the transverse brainstem slice of mice. J Physiol 491 ( Pt 3):799-812 [PubMed] Ramirez JM, Richter DW (1996) The neuronal mechanisms of respiratory rhythm generation. Curr Opin Neurobiol 6:817-25 [PubMed] Rekling JC, Feldman JL (1998) PreBötzinger complex and pacemaker neurons: hypothesized site and kernel for respiratory rhythm generation. Annu Rev Physiol 60:385-405 [Journal] [PubMed] Richter DW (1996) Neural regulation of respiration: Rhythmogenesis and afferent control. Comprehensive Human Physiology., Gregor R:Windhorst U, ed. pp.2079 Richter DW, Ballanyi K, Schwarzacher S (1992) Mechanisms of respiratory rhythm generation. Curr Opin Neurobiol 2:788-93 [PubMed] Rinzel J (1985) Excitation dynamics: insights from simplified membrane models. Fed Proc 44:2944-6 [PubMed] Rinzel J (1987) A formal classification of bursting mechanisms in excitable systems. Mathematical Topics in Population Biology, Morphogenesis, and Neurosciences., Teramoto E:Yamaguti M, ed. pp.267 Rinzel J, Lee YS (1987) Dissection of a model for neuronal parabolic bursting. J Math Biol 25:653-75 [PubMed] Rybak IA, Paton JF, Schwaber JS (1997) Modeling neural mechanisms for genesis of respiratory rhythm and pattern. II. Network models of the central respiratory pattern generator. J Neurophysiol 77:2007-26 [Journal] [PubMed] Shao XM, Feldman JL (1997) Respiratory rhythm generation and synaptic inhibition of expiratory neurons in pre-Bötzinger complex: differential roles of glycinergic and GABAergic neural transmission. J Neurophysiol 77:1853-60 [Journal] [PubMed] Sharp AA, O'Neil MB, Abbott LF, Marder E (1993) Dynamic clamp: computer-generated conductances in real neurons. J Neurophysiol 69:992-5 [Journal] [PubMed] Sherman A, Keizer J, Rinzel J (1990) Domain model for Ca2(+)-inactivation of Ca2+ channels at low channel density. Biophys J 58:985-95 [Journal] [PubMed] Sherman A, Rinzel J (1992) Rhythmogenic effects of weak electrotonic coupling in neuronal models. Proc Natl Acad Sci U S A 89:2471-4 [PubMed] Smith JC (1997) Integration of cellular and network mechanisms in mammalian oscillatory motor circuits: Insights from the respiratory oscillator. Neurons, Networks, and Motor Behavior., Stein P:Grillner S:Selverston AI:Stuart DG, ed. pp.97 Smith JC, Ballanyi K, Richter DW (1992) Whole-cell patch-clamp recordings from respiratory neurons in neonatal rat brainstem in vitro. Neurosci Lett 134:153-6 [PubMed] Smith JC, Ellenberger HH, Ballanyi K, Richter DW, Feldman JL (1991) Pre-Bötzinger complex: a brainstem region that may generate respiratory rhythm in mammals. Science 254:726-9 [PubMed] Smith JC, Funk GD, Johnson SM, Feldman JL (1995) Cellular and synaptic mechanisms generating respiratory rhythm: insights from in vitro and computational studies. Ventral Brainstem Mechanisms and Control of Respiration and Blood Pressure., Trouth O:Millis R:Kiwull-Schone H:Schlafke M, ed. pp.463 Smolen P, Keizer J (1992) Slow voltage inactivation of Ca2+ currents and bursting mechanisms for the mouse pancreatic beta-cell. J Membr Biol 127:9-19 [PubMed] Stafstrom CE, Schwindt PC, Crill WE (1982) Negative slope conductance due to a persistent subthreshold sodium current in cat neocortical neurons in vitro. Brain Res 236:221-6 [PubMed] Swandulla D, Lux HD (1985) Activation of a nonspecific cation conductance by intracellular Ca2+ elevation in bursting pacemaker neurons of Helix pomatia. J Neurophysiol 54:1430-43 [Journal] [PubMed] Terman D (1991) Chaotic spikes arising from a model of bursting in excitable membranes. Siam J Appl Math 51:1418-1450 Wilson WA (1982) Patterned bursting discharge of invertebrate neurons. Cellular Pacemakers., Carpenter DO, ed. pp.219 | Athanasiades A, Clark JW, Ghorbel F, Bidani A (2000) An ionic current model for medullary respiratory neurons. J Comput Neurosci 9:237-57 [PubMed] Ausborn J, Snyder AC, Shevtsova NA, Rybak IA, Rubin JE (2018) State-dependent rhythmogenesis and frequency control in a half-center locomotor CPG. J Neurophysiol 119:96-117 [Journal] [PubMed]
Breen BJ, Gerken WC, Butera RJ (2003) Hybrid integrate-and-fire model of a bursting neuron. Neural Comput 15:2843-62 [Journal] [PubMed] 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]
Ermentrout GB, Terman DH (2010) Mathematical Foundations of Neuroscience Interdisciplinary Applied Mathematics, Antman SS:Marsden JE:Sirovich L:Wiggins, ed. pp.1 [Journal]
Fietkiewicz C, Loparo KA, Wilson CG (2011) Drive latencies in hypoglossal motoneurons indicate developmental change in the brainstem respiratory network. J Neural Eng 8:065011 [Journal] [PubMed]
Fietkiewicz C, Shafer GO, Platt EA, Wilson CG (2016) Variability in respiratory rhythm generation: In vitro and in silico models Communications in Nonlinear Science and Numerical Simulation 32:158-168 [Journal]
Franci A, Drion G, Sepulchre R (2018) Robust and tunable bursting requires slow positive feedback. J Neurophysiol 119:1222-1234 [Journal] [PubMed]
Harris KD, Dashevskiy T, Mendoza J, Garcia AJ, Ramirez JM, Shea-Brown E (2017) Different roles for inhibition in the rhythm-generating respiratory network. J Neurophysiol 118:2070-2088 [Journal] [PubMed]
Kuo JJ, Lee RH, Zhang L, Heckman CJ (2006) Essential role of the persistent sodium current in spike initiation during slowly rising inputs in mouse spinal neurones. J Physiol 574:819-34 [Journal] [PubMed] Park C, Rubin JE (2013) Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons. J Comput Neurosci 34:345-66 [Journal] [PubMed]
Purvis LK, Butera RJ (2005) Ionic current model of a hypoglossal motoneuron. J Neurophysiol 93:723-33 [Journal] [PubMed]
Purvis LK, Smith JC, Koizumi H, Butera RJ (2007) Intrinsic bursters increase the robustness of rhythm generation in an excitatory network. J Neurophysiol 97:1515-26 [Journal] [PubMed]
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]
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]
Tabak J, O'Donovan MJ, Rinzel J (2006) Differential control of active and silent phases in relaxation models of neuronal rhythms. J Comput Neurosci 21:307-28 [Journal] [PubMed] Teka W, Tabak J, Bertram R (2012) The relationship between two fast/slow analysis techniques for bursting oscillations. Chaos 22:043117 [Journal] [PubMed]
Teka W, Tabak J, Vo T, Wechselberger M, Bertram R (2011) The dynamics underlying pseudo-plateau bursting in a pituitary cell model. J Math Neurosci [Journal] [PubMed]
van Drongelen W, Koch H, Elsen FP, Lee HC, Mrejeru A, Doren E, Marcuccilli CJ, Hereld M, Stevens RL, Ramirez JM (2006) Role of persistent sodium current in bursting activity of mouse neocortical networks in vitro. J Neurophysiol 96:2564-77 [Journal] [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]
Zylbertal A, Yarom Y, Wagner S (2017) Synchronous Infra-Slow Bursting in the Mouse Accessory Olfactory Bulb Emerge from Interplay between Intrinsic Neuronal Dynamics and Network Connectivity. J Neurosci 37:2656-2672 [Journal] [PubMed]
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