Lready anticipated because each brain dynamical regime is transient (Rabinovich and Varona, 2012). Duration of the transient will depend on the network architecture (hierarchical level, mixture of excitatory-inhibitory neurons) and also the synaptic parameters. A direct possibility to prolong the lifetime with the SSA devoid of growing the synaptic strengths should be to improve the number of neurons, since the escape time of transient chaotic trajectories grows exponentially with all the dimension of the method (Crutchfield and Kaneko, 1988; Kumar et al., 2008; El Boustani and Destexhe, 2009; Lai and T , 2011). We observed this effect when proceeding from 29 to 210 neurons; our preliminary final results with larger networks confirm this conjecture.ACKNOWLEDGMENTOur investigation was supported by the IRTG 1740TRP 2011501510, funded by the DFGFAPESP.Astrocytes have traditionally been regarded as glial cells responsible for the homeostasis and metabolic help for neurons (Carmignoto and G ez-Gonzalo, 2010). CurrentAbbreviations: 2-AG, 2-arachidonoylglycerol; 5-HT, 5-hydroxytryptamine; 20HETE, 20-hydroxyeicosatetraenoic acid; , Electrochemical gradient; , Fraction of ligand-bound mGluRs; , Ratio of bound to total Glu receptors; , Depletion of ATP shops; ADP, Adenosine diphosphate; ATP, Adenosine triphosphate; Bi , Immobile buffer concentration; Bm , Mobile buffer concentration; BK, Voltage and Ca2+ -operated K+ channel; c, Continuous; c1 , Continual; c2 , Constant; Ca2+ , Calcium ion; [Ca2+ ]free , Total free of charge Ca2+ concentration; CaPKC, Ca2+ -PKC complicated; CCE, Capacitive Ca2+ entry; CICR, Ca2+ -induced Ca2+ release; Cl- , Chloride ion; cyt, Cytosol; Dcyt , Diffusion in cyt; DER , Diffusion in ER; Dext , Diffusion in ext; DAG, Diacylglycerol; DIM, Ligand-bound mGluR dimer; E, Fraction of powerful synaptic-like micro-vesicles in extrasynaptic space; E2 , Euclidean distance amongst the stimulating electrode and individual neuron; EAAT, Excitatory amino acid transporter; EET, Epoxyeicosatrienoic acid; ER, Endoplasmic reticulum; ext, Extracellular space (can be also periastrocytic, perisynaptic, extrasynaptic, or perivascular space); f , Phenomenological variable modeling events from Ca2+ rise to vesicle release; fPKC , Fraction of active PKC; G, G protein; Ga , Astrocytic mediator; Gm , Astrocytic mediator; G6P, GLC 6-phosphate; GABA, Gamma-aminobutyric acid; GAP, Glyceraldehyde 3phosphate; GJ, Gap junction; GLC, Glucose; Gln, Glutamine; Glu, Glutamate; Gly, Glycogen; h, Active fraction of IP3 Rs (Li and Rinzel, 1994); H+ , (±)-Leucine site Hydrogen ion; HCO- , Bicarbonate ion; H-H, Hodgkin-Huxley; Household., Homeostasis; Hyper., three Hyperexcitability; Iast , Modulating present in the astrocyte for the neuron; Iast,ATP , Modulating current in the astrocyte towards the neuron; Iast,Glu , Modulating present in the astrocyte towards the neuron; Iastro , Modulating present from the astrocyte to the Fevipiprant GPCR/G Protein neuron based on astrocytic Ca2+ (Nadkarni and Jung, 2003); Isyn , Synaptic existing; Inf., Info transfer; IP3 , Inositol trisphosphate; IP3 R, IP3 receptor; k, Constant; K+ , Potassium ion; KCC1, K+ Cl- cotransporter; KIR, Inwardly rectifying K+ – and voltage-gated K+ channel; LAC, Lactate; LIF, Leaky integrate-and-fire; mito, Mitochondrial element; mTRPV , Open probability of TRPV4 channel; MCU, Mitochondrial Ca2+ unitransporter; mGluR, Metabotropic Glu receptor; N, Neuron; nBK , Open BK channel probability; Na+ , Sodium ion; NADH, Nicotinamide adenine dinucleotide hydrogen; NCX, Na+ Ca2+ exchanger;.