Abdulla MU, Phillips RS, Rubin JE. (2022). Dynamics of ramping bursts in a respiratory neuron model Journal of computational neuroscience. 50 [PubMed]
Bacak BJ, Segaran J, Molkov YI. (2016). Modeling the effects of extracellular potassium on bursting properties in pre-Bötzinger complex neurons. Journal of computational neuroscience. 40 [PubMed]
Bertram R, Rubin JE. (2017). Multi-timescale systems and fast-slow analysis. Mathematical biosciences. 287 [PubMed]
Butera RJ, Rinzel J, Smith JC. (1999). Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons. Journal of neurophysiology. 82 [PubMed]
Butera RJ, Rinzel J, Smith JC. (1999). Models of respiratory rhythm generation in the pre-Bötzinger complex. II. Populations Of coupled pacemaker neurons. Journal of neurophysiology. 82 [PubMed]
Del Negro CA, Koshiya N, Butera RJ, Smith JC. (2002). Persistent sodium current, membrane properties and bursting behavior of pre-bötzinger complex inspiratory neurons in vitro. Journal of neurophysiology. 88 [PubMed]
Franci A, Drion G, Sepulchre R. (2018). Robust and tunable bursting requires slow positive feedback. Journal of neurophysiology. 119 [PubMed]
Fry M. (2006). Developmental expression of Na+ currents in mouse Purkinje neurons. The European journal of neuroscience. 24 [PubMed]
Gao BX, Ziskind-Conhaim L. (1998). Development of ionic currents underlying changes in action potential waveforms in rat spinal motoneurons. Journal of neurophysiology. 80 [PubMed]
Hayes JA, Mendenhall JL, Brush BR, Del Negro CA. (2008). 4-Aminopyridine-sensitive outward currents in preBötzinger complex neurons influence respiratory rhythm generation in neonatal mice. The Journal of physiology. 586 [PubMed]
Huguenard JR, Hamill OP, Prince DA. (1988). Developmental changes in Na+ conductances in rat neocortical neurons: appearance of a slowly inactivating component. Journal of neurophysiology. 59 [PubMed]
Jasinski PE, Molkov YI, Shevtsova NA, Smith JC, Rybak IA. (2013). Sodium and calcium mechanisms of rhythmic bursting in excitatory neural networks of the pre-Bötzinger complex: a computational modelling study. The European journal of neuroscience. 37 [PubMed]
Kam K, Worrell JW, Janczewski WA, Cui Y, Feldman JL. (2013). Distinct inspiratory rhythm and pattern generating mechanisms in the preBötzinger complex. The Journal of neuroscience : the official journal of the Society for Neuroscience. 33 [PubMed]
Lewis AH, Raman IM. (2014). Resurgent current of voltage-gated Na(+) channels. The Journal of physiology. 592 [PubMed]
Lindsey BG, Rybak IA, Smith JC. (2012). Computational models and emergent properties of respiratory neural networks. Comprehensive Physiology. 2 [PubMed]
Milescu LS, Bean BP, Smith JC. (2010). Isolation of somatic Na+ currents by selective inactivation of axonal channels with a voltage prepulse. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Milescu LS, Yamanishi T, Ptak K, Smith JC. (2010). Kinetic properties and functional dynamics of sodium channels during repetitive spiking in a slow pacemaker neuron. The Journal of neuroscience : the official journal of the Society for Neuroscience. 30 [PubMed]
Molkov YI, Rubin JE, Rybak IA, Smith JC. (2017). Computational models of the neural control of breathing. Wiley interdisciplinary reviews. Systems biology and medicine. 9 [PubMed]
Peña F, Parkis MA, Tryba AK, Ramirez JM. (2004). Differential contribution of pacemaker properties to the generation of respiratory rhythms during normoxia and hypoxia. Neuron. 43 [PubMed]
Phillips RS, Rubin JE. (2019). Effects of persistent sodium current blockade in respiratory circuits depend on the pharmacological mechanism of action and network dynamics. PLoS computational biology. 15 [PubMed]
Ptak K et al. (2005). Sodium currents in medullary neurons isolated from the pre-Bötzinger complex region. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Purvis LK, Smith JC, Koizumi H, Butera RJ. (2007). Intrinsic bursters increase the robustness of rhythm generation in an excitatory network. Journal of neurophysiology. 97 [PubMed]
Rekling JC, Feldman JL. (1998). PreBötzinger complex and pacemaker neurons: hypothesized site and kernel for respiratory rhythm generation. Annual review of physiology. 60 [PubMed]
Rubin J, Wechselberger M. (2007). Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Biological cybernetics. 97 [PubMed]
Rubin JE, Hayes JA, Mendenhall JL, Del Negro CA. (2009). Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations. Proceedings of the National Academy of Sciences of the United States of America. 106 [PubMed]
Smith JC, Abdala AP, Borgmann A, Rybak IA, Paton JF. (2013). Brainstem respiratory networks: building blocks and microcircuits. Trends in neurosciences. 36 [PubMed]
Thoby-Brisson M, Ramirez JM. (2001). Identification of two types of inspiratory pacemaker neurons in the isolated respiratory neural network of mice. Journal of neurophysiology. 86 [PubMed]
Tryba AK, Peña F, Ramirez JM. (2003). Stabilization of bursting in respiratory pacemaker neurons. The Journal of neuroscience : the official journal of the Society for Neuroscience. 23 [PubMed]
Wang Y, Rubin JE. (2016). Multiple timescale mixed bursting dynamics in a respiratory neuron model. Journal of computational neuroscience. 41 [PubMed]
Yamanishi T, Koizumi H, Navarro MA, Milescu LS, Smith JC. (2018). Kinetic properties of persistent Na+ current orchestrate oscillatory bursting in respiratory neurons. The Journal of general physiology. 150 [PubMed]