Free Access
Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 6, 2012
Biological oscillations
|
|
---|---|---|
Page(s) | 67 - 94 | |
DOI | https://doi.org/10.1051/mmnp/20127604 | |
Published online | 12 December 2012 |
- W.C. Abraham. Metaplasticity: tuning synapses and networks for plasticity. Nature Reviews Neuroscience, 9 (2008), 387–399. [CrossRef] [PubMed] [Google Scholar]
- T. Bem, J. Rinzel. Short duty cycle destabilizes a half-center oscillator, but gap junctions can restabilize the anti-phase pattern. Journal of Neurophysiology, 91 (2004), 693–703. [CrossRef] [PubMed] [Google Scholar]
- M.A. Diana, P. Bregestovski. Calcium and endocannabinoids in the modulation of inhibitory synaptic transmission. Cell Calcium, 37 (2005), 497–505. [CrossRef] [PubMed] [Google Scholar]
- A. Dityatev, D.A. Rusakov. Molecular signals of plasticity at the tetrapartite synapse. Current Opinion in Neurbiology, 21 (2011), 353–359. [CrossRef] [Google Scholar]
- W. Gerstner, R. Kempter, J.L. van Hemmen, H. Wagner. A neuronal learning rule for sub-millisecond temporal coding. Nature, 386 (1996), 76–78. [CrossRef] [PubMed] [Google Scholar]
- J. Guckenheimer, P. Holmes. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer-Verlag, 1986. [Google Scholar]
- S.Yu. Gordleeva, S.V. Stasenko, A.V. Semyanov, A.E. Dityatev, V.B. Kazantsev Bi-directional astrocytic regulation of neuronal activity within a network. Frontiers of Computational Neuroscience, 6 (2012), article 92. [Google Scholar]
- F.C. Hoppensteadt, E.M. Izhikevich. Weakly connected neural networks. Springer-Verlag, 1997. [Google Scholar]
- Y. Ikegaya, G. Aaron, R. Cossart, D. Aronov, I. Lampl, D. Ferster, R. Yuste. Synfire chains and cortical songs: Temporal modules of cortical activity. Science, 304 (2004), 559–564. [CrossRef] [PubMed] [Google Scholar]
- E.M. Izhikevich. Polychronization: Computation with spikes. Neural Computation, 18 (2006), 245–282. [Google Scholar]
- E.M. Izhikevich. Dynamical systems in neuroscience. The geometry of excitability and bursting. MIT Press, 2007. [Google Scholar]
- E.M. Izhikevich. Solving the distal reward problem through linkage of STDP and dopamine signaling. Cerebral Cortex, 17 (2007), 2443–2452. [CrossRef] [Google Scholar]
- C. Kayser, M.A. Montemurro, N.K. Logothetis, S. Panzeri. Spike-phase coding boosts and stabilizes information carried by spatial and temporal spike patterns. Neuron, 61 (2009), 597–608. [Google Scholar]
- V. Kazantsev, I. Tyukin. Adaptive and phase selective spike timing dependent plasticity in synaptically coupled neuronal oscillators. PLOS ONE, 7 (2012), e30411. [Google Scholar]
- V. Kazantsev, S.Yu. Gordleeva, S.V. Stasenko, A.E. Dityatev. A homeostatic model of neuronal firing governed by feedback signals from extracellular matrix. PLOS ONE, 7 (2012), e41646. [CrossRef] [PubMed] [Google Scholar]
- V.B. Kazantsev, V.I. Nekorkin, S. Binczak, S. Jacquir, J.M. Bilbault. Spiking dynamics of interacting oscillatory neurons. Chaos, 15 (2005), 023103. [CrossRef] [Google Scholar]
- H.J. Koester, B. Sakmann. Calcium dynamics in single spines during coincident pre- and postsynaptic activity depend on relative timing of back-propagating action potentials and subthreshold excitatory postsynaptic potentials. Proc Natl Acad Sci USA, 95 (1998), 9596–9601. [CrossRef] [Google Scholar]
- F. Lanore, N. Rebola, M. Carta. Spike-timing-dependent plasticity induces presynaptic changes at immature hippocampal mossy fiber synapses. The Journal of Neuroscience, 29 (2009), 8299–8301. [CrossRef] [Google Scholar]
- T. Ohno-Shosakua, Y. Hashimotodania, T. Maejima, M. Kano. Calcium signaling and synaptic modulation: Regulation of endocannabinoid-mediated synaptic modulation by calcium. Cell Calcium, 38 (2005), 369–374. [CrossRef] [PubMed] [Google Scholar]
- A. Pikovsky, M. Rosenblum, J. Kurths. Synchronization: a unified concept in nonlinear sciences. Cambridge University Press, 2001. [Google Scholar]
- J.D. Rolston, S.M. Wagenaar, D.A.and Potter. Precisely timed spatiotemporal patterns of neural activity in dissociated cortical cultures. Neuroscience, 148 (2007), 294–303. [CrossRef] [PubMed] [Google Scholar]
- P.F. Rowat, A.I. Selverston. Modeling the gastric mill central pattern generator with a relaxation-oscillator network. Journal of Neurophysiology, 70 (1993), 1030–1053. [PubMed] [Google Scholar]
- L.P. Shilnikov, A.L. Shilnikov, D.V. Turaev, L.O. Chua. Methods of qualitative theory in nonlinear dynamics. World Scientific, 2001. [Google Scholar]
- P.J. Sjostrom, E.A. Rancz, A. Roth, M. Hausser. Dendritic excitability and synaptic plasticity. Physiological Reviews, 88 (2008), 769–840. [CrossRef] [PubMed] [Google Scholar]
- S. Song, K.D. Miller, L.F. Abbott. Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nature Neuroscience, 3 (2000), 919–926. [Google Scholar]
- I. Tyukin. Adaptation in dynamical systems. Cambridge University Press, 2011. [Google Scholar]
- I. Tyukin, E. Steur, H. Neijmeijer, C. van Leeuwen. Small-gain theorems for systems with unstable invariant sets. SIAM Journal on Control and Optimization, 47 (2008), 849–882. [CrossRef] [MathSciNet] [Google Scholar]
- A. Whitehead, M.I. Rabinovich, R. Huerta, V.P. Zhigulin, H.D.I. Abarbanel. Dynamical synaptic plasticity: a model and connection to some experiments. Biological Cybernetics, 88 (2003), 229–235. [CrossRef] [PubMed] [Google Scholar]
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.