Connexin43 mRNA and protein expression during postnatal development of defined brain regions, Dev. Brain Res, vol.115, issue.1, pp.97-101, 1999. ,
Range of messenger action of calcium ion and inositol 1,4,5-trisphosphate, Science, vol.260, pp.107-260, 1992. ,
Mechanism of regulation of the gap junction protein connexin 43 by protein kinase C-mediated phosphorylation, Am J Physiol Cell Physiol, vol.286, issue.3, pp.647-654, 2004. ,
Spatial networks, Phys. Rep, vol.499, pp.1-101, 2010. ,
Astrocyte calcium signaling: the third wave, Nature Neuroscience, vol.19, issue.2, pp.182-189, 2016. ,
DOI : 10.1038/nn.4201
URL : http://discovery.ucl.ac.uk/1478400/1/Bazargani%20Attwell%202016.pdf
A quantitative model of purinergic junctional transmission of calcium waves in astrocyte networks, Biophysical journal, vol.89, issue.4, pp.2235-2250, 2005. ,
Extent of intercellular calcium wave propagation is related to gap junction permeability and level of connexin-43 expression in astrocytes in primary cultures from four brain regions, Neuroscience, vol.92, issue.1, pp.255-265, 1999. ,
Complex networks: structure and dynamics, Phys. Rep, vol.424, issue.4-5, pp.175-308, 2006. ,
Protoplasmic astrocytes in CA1 stratum radiatum occupy separate anatomical domains, J. Neurosci, vol.22, issue.1, pp.183-192, 2002. ,
DOI : 10.1523/jneurosci.22-01-00183.2002
URL : http://www.jneurosci.org/content/22/1/183.full.pdf
Intercellular calcium waves in glia, Glia, vol.24, issue.1, pp.39-49, 1998. ,
DOI : 10.1002/(sici)1098-1136(199809)24:1<39::aid-glia5>3.0.co;2-w
URL : http://www.fields.utoronto.ca/programs/scientific/08-09/biomedical/proposed_problems/charles_1998.pdf
Bursting, spiking, chaos, fractals and universality in biological rhythms, Int. J. Bifurc. Chaos, vol.5, pp.595-635, 1995. ,
The time course of glutamate in the synaptic cleft, Science, vol.258, pp.1498-1501, 1992. ,
Control of astrocyte Ca 2+ oscillations and waves by oscillating translocation and activation of protein kinase C, Curr. Biol, vol.11, issue.14, pp.1089-1097, 2001. ,
Glutamate induces calcium waves in cultured astrocytes: long-range glial signaling, Science, vol.247, issue.4941, pp.470-473, 1990. ,
DOI : 10.1126/science.1967852
The mathematics of diffusion, 1980. ,
Functional specialization and topographic segregation of hippocampal astrocytes, J. Neurosci, vol.18, issue.12, pp.4425-4438, 1998. ,
Neuronal activity triggers calcium waves in hippocampal astrocyte networks, Neuron, vol.8, issue.3, pp.429-440, 1992. ,
DOI : 10.1016/0896-6273(92)90271-e
Glutamate regulation of calcium and IP3 oscillating and pulsating dynamics in astrocytes, J. Biol. Phys, vol.35, issue.4, pp.383-411, 2009. ,
Computational quest for understanding the role of astrocyte signaling in synaptic transmission and plasticity, Front. Comp. Neurosci, vol.6, p.98, 2012. ,
A single-pool inositol 1, 4, 5-trisphosphate-receptorbased model for agonist-stimulated oscillations in ca2+ concentration, Proceedings of the National Academy of Sciences, vol.89, issue.20, pp.9895-9899, 1992. ,
? 1-Adrenergic receptors mediate coordinated Ca 2+ signaling of cortical astrocytes in awake, behaving mice, Cell Calcium, vol.54, issue.6, pp.387-394, 2013. ,
Role of network connectivity in intercellular calcium signaling, Physica D, vol.237, issue.6, pp.745-754, 2008. ,
Simulations of the effects of inositol 1,4,5-trisphosphate 3-kinase and 5-phosphatase activities on Ca 2+ oscillations, Cell Calcium, vol.22, issue.5, pp.321-331, 1997. ,
One-pool model for Ca 2+ oscillations involving Ca 2+ and inositol 1,4,5-trisphosphate as co-agonists for Ca 2+ release, Cell Calcium, vol.14, pp.311-322, 1993. ,
Topological determinants of epileptogenesis in large-scale structural and functional models of the dentate gyrus derived from experimental data, J. Neurophysiol, vol.97, issue.2, pp.1566-1587, 2007. ,
A model for Ca 2+ waves in networks of glial cells incorporating both intercellular and extracellular communication pathways, J Theor Biol, vol.263, issue.1, pp.45-58, 2010. ,
Reading the patterns in living cells: the physics of Ca 2+ signaling, Adv. Phys, vol.53, issue.3, pp.255-440, 2004. ,
Intracellular astrocyte calcium waves in situ increase the frequency of spontaneous AMPA receptor currents in CA1 pyramidal neurons, J. Neurosci, vol.24, issue.3, pp.722-732, 2004. ,
Astrocyte calcium elevations: properties, propagation, and effects on brain signaling, Glia, vol.54, issue.7, pp.676-690, 2006. ,
Topological analyses in APP/PS1 mice reveal that astrocytes do not migrate to amyloid-? plaques, Proceedings of the National Academy of Sciences, vol.112, issue.51, pp.15556-15561, 2015. ,
Astroglial wiring is adding complexity to neuroglial networking, Front Neuroenergetics, vol.2, 2010. ,
DOI : 10.3389/fnene.2010.00129
URL : https://www.frontiersin.org/articles/10.3389/fnene.2010.00129/pdf
Gap junctions in cultured astrocytes: single-channel currents and characterization of channelforming protein, Neuron, vol.6, issue.1, pp.133-143, 1991. ,
Astroglial networks: a step further in neuroglial and gliovascular interactions, Nat. Rev. Neurosci, vol.11, issue.2, pp.87-99, 2010. ,
Control of gap-junctional communication in astrocytic networks, Trends Neurosci, vol.19, issue.8, pp.319-325, 1996. ,
Nonlinear gap junctions enable long-distance propagation of pulsating calcium waves in astrocyte networks, PLoS Comput Biol, issue.8, p.6, 2010. ,
URL : https://hal.archives-ouvertes.fr/inria-00575656
The number of synaptic inputs and the synchrony of large, sparse neuronal networks, Neural comput, vol.12, issue.5, pp.1095-1139, 2000. ,
Emerging issues in connexin channels: biophysics fills the gap, Quarterly Rev. Biophys, vol.34, pp.325-472, 2001. ,
Intercellular Ca 2+ wave propagation through gap-junctional Ca 2+ diffusion: a theoretical study, Biophys J, vol.80, issue.1, pp.75-87, 2001. ,
Control and plasticity of intercellular calcium waves in astrocytes: a modeling approach, J Neurosci, vol.22, issue.12, pp.4850-4859, 2002. ,
Gap junction-mediated astrocytic networks in the mouse barrel cortex, J. Neurosci, vol.28, issue.20, pp.5207-5217, 2008. ,
Antofineinduced connexin43 gap junction disassembly in rat astrocytes involves protein kinase C?, Neurotoxicology, vol.35, pp.169-179, 2013. ,
A stochastic twodimensional model of intercellular Ca 2+ wave spread in glia, Biophysical Journal, vol.90, issue.1, pp.24-41, 2006. ,
Back in the water: the return of the inositol phosphates, Nat. Rev. Mol. Cell Biol, vol.2, issue.5, pp.327-338, 2001. ,
Photolytic flash-induced intercellular calcium waves using caged calcium ionophore in cultured astrocytes from newborn rats, Exp. Brain. Res, vol.146, issue.1, pp.103-116, 2002. ,
Spatiotemporal characteristics of calcium dynamics in astrocytes, Chaos, vol.19, issue.3, p.37116, 2009. ,
Saturated reconstruction of a volume of neocortex, Cell, vol.162, issue.3, pp.648-661, 2015. ,
Neurons control the expression of connexin 30 and connexin 43 in mouse cortical astrocytes, Glia, vol.56, issue.12, pp.1299-1311, 2008. ,
Synchronous hyperactivity and intercellular calcium waves in astrocytes in alzheimer mice, Science, vol.323, issue.5918, pp.1211-1215, 2009. ,
Large-scale calcium waves traveling through astrocytic networks in vivo, J. Neurosci, vol.31, issue.7, pp.2607-2614, 2011. ,
Switching from simple to complex oscillations in calcium signaling, Biophys. J, vol.79, pp.1188-1199, 2000. ,
Connexin expression by radial glia-like cells is required for neurogenesis in the adult dentate gyrus, Proc. Natl. Acad. Sci. USA, vol.106, issue.27, pp.11336-11341, 2009. ,
Analytical calculation of intracellular calcium wave characteristics, Biophysical Journal, vol.72, issue.6, pp.2430-2444, 1997. ,
Spontaneous glial calcium waves in the retina develop over early adulthood, J Neurosci, vol.29, issue.36, pp.11339-11346, 2009. ,
Modeling calcium responses in astrocyte networks: Relationships between topology and dynamics, 2014. ,
URL : https://hal.archives-ouvertes.fr/tel-01234915
Sparse short-distance connections enhance calcium wave propagation in a 3d model of astrocyte networks, Frontiers in computational neuroscience, vol.8, issue.45, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00967106
Equations for InsP(3) receptor-mediated [Ca 2+ ]i oscillations derived from a detailed kinetic model: a hodgkin-huxley like formalism, Journal of Theoretical Biology, vol.166, issue.4, pp.461-473, 1994. ,
Collective dynamics in sparse networks, Phys. Rev. Lett, vol.109, issue.13, p.138103, 2012. ,
Diffusion modeling of atp signaling suggests a partially regenerative mechanism underlies astrocyte intercellular calcium waves, Frontiers in neuroengineering, vol.1, 2008. ,
Bifurcation mechanisms of regular and chaotic network signaling in brain astrocytes, Chaos, vol.21, issue.2, p.23103, 2011. ,
Gap junctions in developing neocortex: a review, Brain Res. Rev, vol.47, issue.1-3, pp.216-226, 2004. ,
Organization of excitable dynamics in hierarchical biological networks, PLoS Comput. Biol, vol.4, issue.9, p.1000190, 2008. ,
Connexins and gap junctions of astrocytes and oligodendrocytes in the CNS, Brain Res. Rev, vol.32, issue.1, pp.29-44, 2000. ,
New roles for astrocytes: Redefining the functional architecture of the brain, Trends in neurosciences, vol.26, issue.10, pp.523-530, 2003. ,
The structure and function of complex networks, SIAM Review, vol.45, issue.2, pp.167-256, 2003. ,
Sulforhodamine 101 as a specific marker of astroglia in the neocortex in vivo, Nat. Methods, vol.1, issue.1, pp.31-37, 2004. ,
Collective oscillations in disordered neural networks, Phys. Rev. E, vol.81, issue.4, p.46119, 2010. ,
Emerging role for astroglial networks in information processing: from synapse to behavior, Trends. Neurosci, 2013. ,
Spontaneous astrocytic Ca 2+ oscillations in situ drive NMDAR-mediated neuronal excitation, Nat. Neurosci, vol.4, issue.8, pp.803-812, 2001. ,
Calmodulin kinase pathway mediates the K +-induced increase in gap junctional communication between mouse spinal cord astrocytes, J. Neurosci, vol.21, issue.17, pp.6635-6643, 2001. ,
Store-operated Ca 2+ entry in astrocytes: different spatial arrangement of endoplasmic reticulum explains functional diversity in vitro and in situ, Cell Calcium, vol.43, issue.6, pp.591-601, 2008. ,
Gap junctions and connexin expression in the normal and pathological central nervous system, Biol. Cell, vol.94, issue.7-8, pp.457-475, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-02149139
Activity-dependent neuronal control of gap-junctional communication in astrocytes, J. Cell. Biol, vol.149, issue.7, pp.1513-1526, 2000. ,
Astroglial metabolic networks sustain hippocampal synaptic transmission, Science, vol.322, issue.5907, pp.1551-1555, 2008. ,
Plasticity of astroglial networks in olfactory glomeruli, Proc. Natl. Acad. Sci, 2011. ,
Self-sustained activity in a small-world network of excitable neurons, Phys. Rev. Lett, vol.92, issue.19, 2004. ,
Fundamental physical cellular constraints drive self-organization of tissues, The EMBO journal, vol.35, issue.1, pp.77-88, 2016. ,
Locally synchronized astrocytes, Cereb. Cortex, 2011. ,
Astrocyte calcium waves: What they are and what they do, Glia, vol.54, issue.7, pp.716-725, 2006. ,
Extracellular K + and astrocyte signaling via connexin and pannexin channels, Neurochem. Res, vol.37, issue.11, pp.2310-2316, 2012. ,
Intercellular communication in spinal cord astrocytes: fine tuning between gap junctions and P2 nucleotide receptors in calcium wave propagation, J. Neurosci, vol.20, issue.4, pp.1435-1445, 2000. ,
Astrocyte Ca 2+ waves trigger responses in microglial cells in brain slices, FASEB J, vol.16, issue.2, pp.255-257, 2002. ,
Asymptotic analysis of buffered calcium diffusion near a point source, SIAM Journal on Applied Mathematics, vol.61, issue.5, pp.1816-1838, 2001. ,
Selection of intracellular calcium patterns in a model with clustered Ca 2+ release channels, Phys. Rev. E, vol.67, issue.3, p.31905, 2003. ,
Interplay between PKC and the MAP kinase pathway in connexin43 phosphorylation and inhibition of gap junction intercellular communication, Biochem Biophys Res Commun, vol.382, issue.1, pp.41-45, 2009. ,
How does intracellular Ca 2+ oscillate: by chance or by clock?, Biophys. J, vol.94, pp.2404-2411, 2008. ,
A model for the propagation of intracellular calcium waves, Am. J. Physiol, vol.266, issue.35, pp.293-302, 1994. ,
Mechanisms of calcium oscillations and waves: a quantitative analysis, The FASEB Journal, vol.9, issue.14, pp.1463-1472, 1995. ,
On the propagation of calcium waves in an inhomogeneous medium, SIAM J. Appl. Math, vol.57, issue.1, pp.73-94, 1997. ,
Intercellular calcium waves mediated by diffusion of inositol trisphosphate: a two-dimensional model, Am. J. Physiol, vol.268, issue.37, pp.1537-1545, 1995. ,
Calcium waves and oscillations driven by an intercellular gradient of inositol (1, 4, 5)-trisphosphate, Biophysical Chemistry, vol.72, issue.1, pp.101-109, 1998. ,
Modeling of ATP-mediated signal transduction and wave propagation in astrocytic cellular networks, J. Theor. Biol, vol.241, pp.649-668, 2006. ,
Gap junction channels coordinate the propagation of intercellular Ca 2+ signals generated by P2Y receptor activation, Glia, vol.48, issue.3, pp.217-229, 2004. ,
Astrocytic connectivity in the hippocampus, Neuron Glia Biol, vol.1, issue.1, pp.3-11, 2004. ,
Glutamate-dependent neuroglial calcium signaling differs between young and adult brain, Science, vol.339, issue.6116, pp.197-200, 2013. ,
DOI : 10.1126/science.1226740
URL : http://europepmc.org/articles/pmc3569008?pdf=render
A model of calcium dynamics in cardiac myocytes based on the kinetics of ryanodine-sensitive calcium channels, Biophys. J, vol.67, pp.2223-2235, 1994. ,
Coherent periodic activity in excitatory erdös-renyi neural networks: The role of network connectivity, Chaos, vol.22, issue.2, p.23133, 2012. ,
Activity-dependent structural and functional plasticity of astrocyte-neuron interactions, Physiol. Rev, vol.88, issue.3, pp.983-1008, 2008. ,
Imaging of cortical astrocytes using 2-photon laser scanning microscopy in the intact mouse brain, Adv. Drug Deliver. Rev, vol.58, issue.7, pp.773-787, 2006. ,
Anti-phase calcium oscillations in astrocytes via inositol (1, 4, 5)-trisphosphate regeneration, Cell calcium, vol.39, issue.3, pp.197-208, 2006. ,
Anti-phase calcium oscillations in astrocytes via inositol (1, 4, 5)-trisphosphate regeneration, Cell calcium, vol.39, issue.3, pp.197-208, 2006. ,
Glutamate mediated astrocytic filtering of neuronal activity, PLoS computational biology, vol.10, issue.12, p.1003964, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01077738
Emergent spindle oscillations and intermittent burst firing in a thalamic model: specific neuronal mechanisms, Proc. Natl. Acad. Sci. USA, vol.92, issue.12, pp.5577-5581, 1995. ,
, Small worlds: the dynamics of networks between order and randomness, pp.33-36, 1999.
Calcium waves propagate through radial glial cells and modulate proliferation in the developing neocortex, Neuron, vol.43, issue.5, pp.647-661, 2004. ,
Plasticity of perisynaptic astroglia during synaptogenesis in the mature rat hippocampus, Glia, vol.55, issue.1, pp.13-23, 2007. ,
Dynamics of rumor propagation on small-world networks, Phys. Rev. E, vol.65, issue.4, p.41908, 2002. ,