Anderson TM et al. (2016). A novel excitatory network for the control of breathing. Nature. 536 [PubMed]
Ausborn J et al. (2018). Organization of the core respiratory network: Insights from optogenetic and modeling studies. PLoS computational biology. 14 [PubMed]
Ausborn J, Snyder AC, Shevtsova NA, Rybak IA, Rubin JE. (2018). State-dependent rhythmogenesis and frequency control in a half-center locomotor CPG. Journal of neurophysiology. 119 [PubMed]
Bacak BJ, Kim T, Smith JC, Rubin JE, Rybak IA. (2016). Mixed-mode oscillations and population bursting in the pre-Bötzinger complex. eLife. 5 [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]
Baertsch NA, Baertsch HC, Ramirez JM. (2018). The interdependence of excitation and inhibition for the control of dynamic breathing rhythms. Nature communications. 9 [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. II. Populations Of coupled pacemaker neurons. Journal of neurophysiology. 82 [PubMed]
Chelaru MI, Dragoi V. (2008). Efficient coding in heterogeneous neuronal populations. Proceedings of the National Academy of Sciences of the United States of America. 105 [PubMed]
Daun S, Rubin JE, Rybak IA. (2009). Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis. Journal of computational neuroscience. 27 [PubMed]
Diekman CO, Thomas PJ, Wilson CG. (2017). Eupnea, tachypnea, and autoresuscitation in a closed-loop respiratory control model. Journal of neurophysiology. 118 [PubMed]
Ermentrout B. (2002). Simulating, analyzing, and animating dynamical systems: a guide to XPPAUT for researchers and students.
Feldman JL, Del Negro CA. (2006). Looking for inspiration: new perspectives on respiratory rhythm. Nature reviews. Neuroscience. 7 [PubMed]
Fortuna MG, Kügler S, Hülsmann S. (2019). Probing the function of glycinergic neurons in the mouse respiratory network using optogenetics. Respiratory physiology & neurobiology. 265 [PubMed]
Harris KD et al. (2017). Different roles for inhibition in the rhythm-generating respiratory network. Journal of neurophysiology. 118 [PubMed]
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
Janczewski WA, Tashima A, Hsu P, Cui Y, Feldman JL. (2013). Role of inhibition in respiratory pattern generation. The Journal of neuroscience : the official journal of the Society for Neuroscience. 33 [PubMed]
Koizumi H et al. (2018). Transient Receptor Potential Channels TRPM4 and TRPC3 Critically Contribute to Respiratory Motor Pattern Formation but not Rhythmogenesis in Rodent Brainstem Circuits. eNeuro. 5 [PubMed]
Koizumi H et al. (2016). Voltage-Dependent Rhythmogenic Property of Respiratory Pre-Bötzinger Complex Glutamatergic, Dbx1-Derived, and Somatostatin-Expressing Neuron Populations Revealed by Graded Optogenetic Inhibition. eNeuro. 3 [PubMed]
Koshiya N, Smith JC. (1999). Neuronal pacemaker for breathing visualized in vitro. Nature. 400 [PubMed]
Marchenko V et al. (2016). Perturbations of Respiratory Rhythm and Pattern by Disrupting Synaptic Inhibition within Pre-Bötzinger and Bötzinger Complexes. eNeuro. 3 [PubMed]
Marder E, O'Leary T, Shruti S. (2014). Neuromodulation of circuits with variable parameters: single neurons and small circuits reveal principles of state-dependent and robust neuromodulation. Annual review of neuroscience. 37 [PubMed]
Molkov YI et al. (2014). A closed-loop model of the respiratory system: focus on hypercapnia and active expiration. PloS one. 9 [PubMed]
Pace RW, Mackay DD, Feldman JL, Del Negro CA. (2007). Inspiratory bursts in the preBötzinger complex depend on a calcium-activated non-specific cation current linked to glutamate receptors in neonatal mice. The Journal of physiology. 582 [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]
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]
Ramirez JM, Baertsch NA. (2018). The Dynamic Basis of Respiratory Rhythm Generation: One Breath at a Time. Annual review of neuroscience. 41 [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]
Rinzel J, Wang XJ. (1992). Alternating and synchronous rhythms in reciprocally inhibitory model neurons Neural Comput. 4
Rubin JE et al. (2011). Interacting oscillations in neural control of breathing: modeling and qualitative analysis. Journal of computational neuroscience. 30 [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]
Sherman D, Worrell JW, Cui Y, Feldman JL. (2015). Optogenetic perturbation of preBötzinger complex inhibitory neurons modulates respiratory pattern. Nature neuroscience. 18 [PubMed]
Skinner FK, Turrigiano GG, Marder E. (1993). Frequency and burst duration in oscillating neurons and two-cell networks. Biological cybernetics. 69 [PubMed]
Terman D, Rubin J. (2002). Synchronized activity and loss of synchrony among heterogeneous conditional oscillators SIAM J Appl Dyn Syst. 1
Terman D, Rubin J, Wechselberger M, Borisyuk A, Best J. (2005). The dynamic range of bursting in a model respiratory pacemaker network Siam J App Dyn Sys. 4
Vladimirski BB, Tabak J, O'Donovan MJ, Rinzel J. (2008). Episodic activity in a heterogeneous excitatory network, from spiking neurons to mean field. Journal of computational neuroscience. 25 [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]