Dynamic transition of neuronal firing induced by abnormal astrocytic glutamate oscillation

The gliotransmitter glutamate released from astrocytes can modulate neuronal firing by activating neuronal N-methyl-D-aspartic acid (NMDA) receptors. This enables astrocytic glutamate(AG) to be involved in neuronal physiological and pathological functions. Based on empirical results and classical neuron-glial “tripartite synapse” model, we propose a practical model to describe extracellular AG oscillation, in which the fluctuation of AG depends on the threshold of calcium concentration, and the effect of AG degradation is considered as well. We predict the seizure-like discharges under the dysfunction of AG degradation duration. Consistent with our prediction, the suppression of AG uptake by astrocytic transporters, which operates by modulating the AG degradation process, can account for the emergence of epilepsy.

[1]  M. Carson,et al.  Glial cells as primary therapeutic targets for epilepsy , 2013, Neurochemistry International.

[2]  Qingyun Wang,et al.  Bifurcation analysis for Hindmarsh-Rose neuronal model with time-delayed feedback control and application to chaos control , 2014 .

[3]  T. Fellin,et al.  Do astrocytes contribute to excitation underlying seizures? , 2005, Trends in molecular medicine.

[4]  S. Nadkarni,et al.  Spontaneous oscillations of dressed neurons: a new mechanism for epilepsy? , 2003, Physical review letters.

[5]  Matjaž Perc,et al.  Spatial coherence resonance in neuronal media with discrete local dynamics , 2007 .

[6]  Zhiguo Zhao,et al.  Dynamics of Time Delay-Induced Multiple Synchronous Behaviors in Inhibitory Coupled Neurons , 2015, PloS one.

[7]  Ghanim Ullah,et al.  Oxygen and seizure dynamics: II. Computational modeling. , 2014, Journal of neurophysiology.

[8]  Andrea Volterra,et al.  What do we know about gliotransmitter release from astrocytes? , 2014, Philosophical Transactions of the Royal Society B: Biological Sciences.

[9]  P. Haydon,et al.  Physiological astrocytic calcium levels stimulate glutamate release to modulate adjacent neurons. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Maiken Nedergaard,et al.  Astrocytic glutamate release-induced transient depolarization and epileptiform discharges in hippocampal CA1 pyramidal neurons. , 2005, Journal of neurophysiology.

[11]  S. Thompson,et al.  The lifetime of inositol 1,4,5-trisphosphate in single cells , 1995, The Journal of general physiology.

[12]  D. Binder,et al.  Regulation of astrocyte glutamate transporter-1 (GLT1) and aquaporin-4 (AQP4) expression in a model of epilepsy , 2016, Experimental Neurology.

[13]  N. Maragakis,et al.  Reduction in expression of the astrocyte glutamate transporter, GLT1, worsens functional and histological outcomes following traumatic spinal cord injury , 2011, Glia.

[14]  Lucas C. Parra,et al.  Computational model of neuron-astrocyte interactions during focal seizure generation , 2012, Front. Comput. Neurosci..

[15]  Steven J Schiff,et al.  Oxygen and seizure dynamics: I. Experiments. , 2014, Journal of neurophysiology.

[16]  Marom Bikson,et al.  Depolarization block of neurons during maintenance of electrographic seizures. , 2003, Journal of neurophysiology.

[17]  Tommaso Fellin,et al.  Glutamate release from astrocytes as a non-synaptic mechanism for neuronal synchronization in the hippocampus , 2006, Journal of Physiology-Paris.

[18]  Chunni Wang,et al.  Dynamics of electric activities in neuron and neurons of network induced by autapses , 2014 .

[19]  Ergin Yılmaz,et al.  Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network , 2016, Science China Technological Sciences.

[20]  Jun Ma,et al.  Spectral properties of the temporal evolution of brain network structure. , 2015, Chaos.

[21]  Sergej O. Voronenko,et al.  Shifting Spike Times or Adding and Deleting Spikes—How Different Types of Noise Shape Signal Transmission in Neural Populations , 2015, Journal of mathematical neuroscience.

[22]  Suhita Nadkarni,et al.  Dressed neurons: modeling neural–glial interactions , 2004, Physical biology.

[23]  Rong Wang,et al.  Astrocytic Gliotransmitter: Diffusion Dynamics and Induction of Information Processing on Tripartite Synapses , 2016, Int. J. Bifurc. Chaos.

[24]  Steven J. Schiff,et al.  Assimilating Seizure Dynamics , 2010, PLoS Comput. Biol..

[25]  T. Takano,et al.  An astrocytic basis of epilepsy , 2005, Nature Medicine.

[26]  Wim van Drongelen,et al.  Modeling Focal Epileptic Activity in the Wilson–Cowan Model with Depolarization Block , 2015, The Journal of Mathematical Neuroscience (JMN).

[27]  A. Bacci,et al.  Enhancement of Spike-Timing Precision by Autaptic Transmission in Neocortical Inhibitory Interneurons , 2006, Neuron.

[28]  D E Postnov,et al.  Dynamical patterns of calcium signaling in a functional model of neuron–astrocyte networks , 2009, Journal of biological physics.

[29]  A. Araque,et al.  Dynamic signaling between astrocytes and neurons. , 2001, Annual review of physiology.

[30]  Sukwoo Choi,et al.  Channel-mediated astrocytic glutamate release via Bestrophin-1 targets synaptic NMDARs , 2013, Molecular Brain.

[31]  G. Perea,et al.  Tripartite synapses: astrocytes process and control synaptic information , 2009, Trends in Neurosciences.

[32]  Jun Ma,et al.  Information Transmission in a Neuron-Astrocyte Coupled Model , 2013, PloS one.

[33]  Xiang-ming Zha Acid-sensing ion channels: trafficking and synaptic function , 2013, Molecular Brain.

[34]  John Rinzel,et al.  Intrinsic and network rhythmogenesis in a reduced traub model for CA3 neurons , 2004, Journal of Computational Neuroscience.

[35]  R. C. Reyes,et al.  Models of astrocytic Ca dynamics and epilepsy. , 2008, Drug discovery today. Disease models.

[36]  M. Amiri,et al.  Functional contributions of astrocytes in synchronization of a neuronal network model. , 2012, Journal of theoretical biology.

[37]  Jun Ma,et al.  Multiple modes of electrical activities in a new neuron model under electromagnetic radiation , 2016, Neurocomputing.

[38]  Mahmut Ozer,et al.  Delayed feedback and detection of weak periodic signals in a stochastic Hodgkin–Huxley neuron , 2015 .

[39]  M. Perc,et al.  Regulation of Irregular Neuronal Firing by Autaptic Transmission , 2016, Scientific Reports.

[40]  N. Diemer,et al.  Ischemia induced changes in expression of the astrocyte glutamate transporter GLT1 in hippocampus of the rat , 2000, Neurochemistry International.

[41]  M. Amiri,et al.  On the role of astrocytes in epilepsy: A functional modeling approach , 2012, Neuroscience Research.

[42]  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.

[43]  Huaguang Gu,et al.  A four-dimensional neuronal model to describe the complex nonlinear dynamics observed in the firing patterns of a sciatic nerve chronic constriction injury model , 2015 .

[44]  Eshel Ben-Jacob,et al.  The Astrocyte as a Gatekeeper of Synaptic Information Transfer , 2006, Neural Computation.

[45]  M. Perc,et al.  Gap Junctions and Epileptic Seizures – Two Sides of the Same Coin? , 2011, PloS one.

[46]  Guanrong Chen,et al.  Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models , 2014 .

[47]  Christian Steinhäuser,et al.  Neuron–astrocyte signaling and epilepsy , 2013, Experimental Neurology.

[48]  Huaguang Gu,et al.  Biological Experimental Observations of an Unnoticed Chaos as Simulated by the Hindmarsh-Rose Model , 2013, PloS one.

[49]  H. Parri,et al.  Spontaneous astrocytic Ca2+ oscillations in situ drive NMDAR-mediated neuronal excitation , 2001, Nature Neuroscience.

[50]  Ma Jun,et al.  A review for dynamics of collective behaviors of network of neurons , 2015 .

[51]  Huaguang Gu,et al.  The dependence of synchronization transition processes of coupled neurons with coexisting spiking and bursting on the control parameter, initial value, and attraction domain , 2015 .

[52]  T. Pozzan,et al.  Intracellular Calcium Oscillations in Astrocytes: A Highly Plastic, Bidirectional Form of Communication between Neurons and Astrocytes In Situ , 1997, The Journal of Neuroscience.

[53]  Eshel Ben-Jacob,et al.  A Tale of Two Stories: Astrocyte Regulation of Synaptic Depression and Facilitation , 2011, PLoS Comput. Biol..

[54]  C. Wasterlain,et al.  Brain Energy Metabolism During Experimental Neonatal Seizures , 2010, Neurochemical Research.

[55]  Edward O. Mann,et al.  Perisomatic Feedback Inhibition Underlies Cholinergically Induced Fast Network Oscillations in the Rat Hippocampus In Vitro , 2005, Neuron.

[56]  Yubing Gong,et al.  Multiple coherence resonance and synchronization transitions induced by autaptic delay in Newman–Watts neuron networks , 2016 .

[57]  Jiajia Li,et al.  Suppression of firing activities in neuron and neurons of network induced by electromagnetic radiation , 2016 .

[58]  A d'Anjou,et al.  Energy and information in Hodgkin-Huxley neurons. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[59]  Ying Wu,et al.  Emitting waves from defects in network with autapses , 2015, Commun. Nonlinear Sci. Numer. Simul..

[60]  Rafael Yuste,et al.  Calcium oscillations in neocortical astrocytes under epileptiform conditions. , 2002, Journal of neurobiology.

[61]  Mahmut Ozer,et al.  Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks , 2016 .

[62]  Jun Ma,et al.  Model of electrical activity in a neuron under magnetic flow effect , 2016 .

[63]  Michael M. Halassa,et al.  The tripartite synapse: roles for gliotransmission in health and disease. , 2007, Trends in molecular medicine.

[64]  J. Platel,et al.  NMDA Receptors Activated by Subventricular Zone Astrocytic Glutamate Are Critical for Neuroblast Survival Prior to Entering a Synaptic Network , 2010, Neuron.

[65]  Terrence J. Sejnowski,et al.  Computational models of neuron-astrocyte interaction in epilepsy , 2012, Front. Comput. Neurosci..

[66]  D. Attwell,et al.  Do astrocytes really exocytose neurotransmitters? , 2010, Nature Reviews Neuroscience.

[67]  A. Araque,et al.  Tripartite synapses: glia, the unacknowledged partner , 1999, Trends in Neurosciences.

[68]  Christophe Bernard,et al.  Seizures, refractory status epilepticus, and depolarization block as endogenous brain activities. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[69]  A. Charles,et al.  Intercellular signaling in glial cells: Calcium waves and oscillations in response to mechanical stimulation and glutamate , 1991, Neuron.

[70]  Mengmeng Du,et al.  Noise-induced spatiotemporal patterns in Hodgkin–Huxley neuronal network , 2013, Cognitive Neurodynamics.