Two types of independent bursting mechanisms in inspiratory neurons: an integrative model

The network of coupled neurons in the pre-Bötzinger complex (pBC) of the medulla generates a bursting rhythm, which underlies the inspiratory phase of respiration. In some of these neurons, bursting persists even when synaptic coupling in the network is blocked and respiratory rhythmic discharge stops. Bursting in inspiratory neurons has been extensively studied, and two classes of bursting neurons have been identified, with bursting mechanism depends on either persistent sodium current or changes in intracellular Ca2+, respectively. Motivated by experimental evidence from these intrinsically bursting neurons, we present a two-compartment mathematical model of an isolated pBC neuron with two independent bursting mechanisms. Bursting in the somatic compartment is modeled via inactivation of a persistent sodium current, whereas bursting in the dendritic compartment relies on Ca2+ oscillations, which are determined by the neuromodulatory tone. The model explains a number of conflicting experimental results and is able to generate a robust bursting rhythm, over a large range of parameters, with a frequency adjusted by neuromodulators.

[1]  M E Martone,et al.  Three-dimensional visualization of the smooth endoplasmic reticulum in Purkinje cell dendrites , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  Jaime Eugenín,et al.  Central actions of somatostatin in the generation and control of breathing. , 2005, Biological research.

[3]  Jürg Streit,et al.  Modulation of intrinsic spiking in spinal cord neurons. , 2009, Journal of neurophysiology.

[4]  Takuya Inoue,et al.  Peripheral oxygen‐sensing cells directly modulate the output of an identified respiratory central pattern generating neuron , 2007, The European journal of neuroscience.

[5]  S L Mironov,et al.  Metabotropic glutamate receptors activate dendritic calcium waves and TRPM channels which drive rhythmic respiratory patterns in mice , 2008, The Journal of physiology.

[6]  E. Marder Modulating a neuronal network , 1988, Nature.

[7]  Eduardo D. Martín,et al.  Adenosine released by astrocytes contributes to hypoxia‐induced modulation of synaptic transmission , 2007, Glia.

[8]  J. López-Barneo,et al.  Carotid body oxygen sensing , 2008, European Respiratory Journal.

[9]  J. Feldman,et al.  Sodium and Calcium Current-Mediated Pacemaker Neurons and Respiratory Rhythm Generation , 2005, The Journal of Neuroscience.

[10]  Bard Ermentrout,et al.  Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students , 2002, Software, environments, tools.

[11]  Robert J Butera,et al.  Persistent sodium current, membrane properties and bursting behavior of pre-bötzinger complex inspiratory neurons in vitro. , 2002, Journal of neurophysiology.

[12]  J. Feldman,et al.  Inspiratory bursts in the preBötzinger complex depend on a calcium‐activated non‐specific cation current linked to glutamate receptors in neonatal mice , 2007, Journal of Physiology.

[13]  W A Large,et al.  Alpha 1‐adrenoceptor activation of a non‐selective cation current in rabbit portal vein by 1,2‐diacyl‐sn‐glycerol. , 1997, The Journal of physiology.

[14]  K M Harris,et al.  Three-Dimensional Organization of Smooth Endoplasmic Reticulum in Hippocampal CA1 Dendrites and Dendritic Spines of the Immature and Mature Rat , 1997, The Journal of Neuroscience.

[15]  G Leng,et al.  κ-Opioid Regulation of Neuronal Activity in the Rat Supraoptic Nucleus In Vivo , 1998, The Journal of Neuroscience.

[16]  K. Krnjević,et al.  Early effects of hypoxia on brain cell function. , 1999, Croatian medical journal.

[17]  D. Richter,et al.  Calcium‐dependent responses in neurons of the isolated respiratory network of newborn rats. , 1996, The Journal of physiology.

[18]  J. Ramirez,et al.  The hypoxic response of neurones within the in vitro mammalian respiratory network , 1998, The Journal of physiology.

[19]  Consuelo Morgado-Valle,et al.  Respiratory Rhythm An Emergent Network Property? , 2002, Neuron.

[20]  Ikuo Homma,et al.  Modulation of respiratory rhythm by 5-HT in the brainstem-spinal cord preparation from newborn rat , 1998, Pflügers Archiv.

[21]  J C Smith,et al.  Generation and transmission of respiratory oscillations in medullary slices: role of excitatory amino acids. , 1993, Journal of neurophysiology.

[22]  K Nieber,et al.  Hypoxia and neuronal function under in vitro conditions. , 1999, Pharmacology & therapeutics.

[23]  Man Su Kim,et al.  Calcium‐activated cationic channel in rat sensory neurons , 2003, The European journal of neuroscience.

[24]  Jan-Marino Ramirez,et al.  Norepinephrine differentially modulates different types of respiratory pacemaker and nonpacemaker neurons. , 2006, Journal of neurophysiology.

[25]  Michel Simonneau,et al.  Modulation of the respiratory rhythm generator by the pontine noradrenergic A5 and A6 groups in rodents , 2004, Respiratory Physiology & Neurobiology.

[26]  Jeffrey L. Mendenhall,et al.  Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations , 2009, Proceedings of the National Academy of Sciences.

[27]  H. Lagercrantz,et al.  Adenosinergic modulation of respiratory neurones in the neonatal rat brainstem in vitro , 1999, The Journal of physiology.

[28]  Ilya A. Rybak,et al.  Modeling neural mechanisms for genesis of respiratory rhythm and pattern. I. Models of respiratory neurons. , 1997, Journal of neurophysiology.

[29]  Jonathan E Rubin,et al.  Bursting induced by excitatory synaptic coupling in nonidentical conditional relaxation oscillators or square-wave bursters. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Marino DiFranco,et al.  Somatic Ca2+ transients do not contribute to inspiratory drive in preBötzinger Complex neurons , 2008, The Journal of physiology.

[31]  J C Smith,et al.  Intrinsic bursters increase the robustness of rhythm generation in an excitatory network. , 2007, Journal of neurophysiology.

[32]  J. C. Smith,et al.  Models of respiratory rhythm generation in the pre-Bötzinger complex. I. Bursting pacemaker neurons. , 1999, Journal of neurophysiology.

[33]  Jules C Hancox,et al.  A TRPC-like non-selective cation current activated by alpha 1-adrenoceptors in rat mesenteric artery smooth muscle cells. , 2006, Cell calcium.

[34]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[35]  Krzysztof Ptak,et al.  Central respiratory effects of substance P in neonatal mice: an in vitro study , 1999, Neuroscience Letters.

[36]  J. C. Smith,et al.  Pre-Bötzinger complex: a brainstem region that may generate respiratory rhythm in mammals. , 1991, Science.

[37]  J. Viemari,et al.  Phox2a Gene, A6 Neurons, and Noradrenaline Are Essential for Development of Normal Respiratory Rhythm in Mice , 2004, The Journal of Neuroscience.

[38]  F. Peña,et al.  Effects of riluzole and flufenamic acid on eupnea and gasping of neonatal mice in vivo , 2007, Neuroscience Letters.

[39]  J C Smith,et al.  Pacemaker behavior of respiratory neurons in medullary slices from neonatal rat. , 1994, Journal of neurophysiology.

[40]  Ikuo Homma,et al.  The adrenergic modulation of firings of respiratory rhythm-generating neurons in medulla-spinal cord preparation from newborn rat , 1998, Experimental Brain Research.

[41]  Yoshiaki Saito,et al.  A review of functional and structural components of the respiratory center involved in the arousal response. , 2002, Sleep medicine.

[42]  R. Leapman,et al.  Activity-dependent accumulation of calcium in Purkinje cell dendritic spines. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[43]  Jan-Marino Ramirez,et al.  Hypoxia-induced changes in neuronal network properties , 2005, Molecular Neurobiology.

[44]  J C Smith,et al.  Models of respiratory rhythm generation in the pre-Bötzinger complex. III. Experimental tests of model predictions. , 2001, Journal of neurophysiology.

[45]  J. Ramirez,et al.  Identification of two types of inspiratory pacemaker neurons in the isolated respiratory neural network of mice. , 2001, Journal of neurophysiology.

[46]  J. Keizer,et al.  Effects of rapid buffers on Ca2+ diffusion and Ca2+ oscillations. , 1994, Biophysical journal.

[47]  Morimitsu Fujii,et al.  Dopaminergic modulation on respiratory rhythm in rat brainstem-spinal cord preparation , 2004, Neuroscience Research.

[48]  M. Bellingham,et al.  Response of the medullary respiratory network of the cat to hypoxia. , 1991, The Journal of physiology.

[49]  J. Meldolesi,et al.  The endoplasmic reticulum of purkinje neuron body and dendrites: Molecular identity and specializations for Ca2+ transport , 1992, Neuroscience.

[50]  R. A. Johnson,et al.  Catecholaminergic modulation of respiratory rhythm in an in vitro turtle brain stem preparation. , 1998, Journal of applied physiology.

[51]  J. Ramirez,et al.  Calcium Currents of Rhythmic Neurons Recorded in the Isolated Respiratory Network of Neonatal Mice , 1998, The Journal of Neuroscience.

[52]  Jan-Marino Ramirez,et al.  Differential Contribution of Pacemaker Properties to the Generation of Respiratory Rhythms during Normoxia and Hypoxia , 2004, Neuron.

[53]  Jonathan E Rubin,et al.  Emergent bursting in small networks of model conditional pacemakers in the pre-Bötzinger complex. , 2008, Advances in experimental medicine and biology.

[54]  J. Ramirez,et al.  Neuromodulation and the orchestration of the respiratory rhythm , 2008, Respiratory Physiology & Neurobiology.

[55]  J. Rinzel,et al.  Equations for InsP3 receptor-mediated [Ca2+]i oscillations derived from a detailed kinetic model: a Hodgkin-Huxley like formalism. , 1994, Journal of theoretical biology.

[56]  J. Ramirez,et al.  Developmental changes in the hypoxic response of the hypoglossus respiratory motor output in vitro. , 1997, Journal of neurophysiology.

[57]  Jan-Marino Ramirez,et al.  Postnatal development differentially affects voltage-activated calcium currents in respiratory rhythmic versus nonrhythmic neurons of the pre-Bötzinger complex. , 2005, Journal of neurophysiology.

[58]  Jan-Marino Ramirez,et al.  Role of Inspiratory Pacemaker Neurons in Mediating the Hypoxic Response of the Respiratory Network In Vitro , 2000, The Journal of Neuroscience.

[59]  Jeffrey C. Smith,et al.  Persistent Na+ and K+-Dominated Leak Currents Contribute to Respiratory Rhythm Generation in the Pre-Bötzinger Complex In Vitro , 2008, The Journal of Neuroscience.

[60]  G. Haddad,et al.  Effect of prolonged O2 deprivation on Na+ channels: differential regulation in adult versus fetal rat brain , 1999, Neuroscience.

[61]  Lorin S Milescu,et al.  Raphé Neurons Stimulate Respiratory Circuit Activity by Multiple Mechanisms via Endogenously Released Serotonin and Substance P , 2009, The Journal of Neuroscience.