Guiding Synchrony through Random Networks

Physical Review X

Volumn 2, Issue 4, 2012, Pages

  Jahnke, Sven ^a,b,c   Timme, Marc ^a,b,c   Memmesheimer, Raoul Martin ^d  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^b Bernstein Center for Computational Neuroscience (BCCN)   (Germany)

^c UNIVERSITY OF GÖTTINGEN   (Germany)

^d RADBOUD UNIVERSITY NIJMEGEN   (Netherlands)

Author keywords

Biological physics; Complex systems

Indexed keywords

BIOLOGICAL PHYSICS; FEED-FORWARD; FEED-FORWARD NETWORK; RANDOM NETWORK; SIGNAL TRANSMISSION; SINGLE-NEURON; SUB-NETWORK;

LARGE SCALE SYSTEMS; PHYSICS;

RECURRENT NEURAL NETWORKS;

EID: 84886303940     PISSN: None     EISSN: 21603308     Source Type: Journal    
DOI: 10.1103/PhysRevX.2.041016     Document Type: Article

References (45)

1. C. V. Vreeswijk and H. Sompolinsky, Chaos in Neuronal Networks with Balanced Excitatory and Inhibitory Activity, Science 274, 1724 (1996).
2. N. Brunel, Dynamics of Sparsely Connected Networks of Excitatory and Inhibitory Spiking Neurons, J. Comput. Neurosci. 8, 183 (2000).
3. S. Jahnke, R.-M. Memmesheimer, and M. Timme, Stable Irregular Dynamics in Complex Neural Networks, Phys. Rev. Lett. 100, 048102 (2008).
4. S. Jahnke, R.-M. Memmesheimer, and M. Timme, How Chaotic Is the Balanced State?, Front. Comput. Neurosci. 3, 13 (2009).
5. M. London, A. Roth, L. Beeren, M. Häusser, and P. Latham, Sensitivity to Perturbations in vivo Implies High Noise and Suggests Rate Coding in Cortex, Nature (London) 466, 123 (2010).
6. M. Abeles, Local Cortical Circuits: An Electrophysiological Study (Springer, Berlin, 1982)
7. M. Diesmann, M.-O. Gewaltig, and A. Aertsen, Stable Propagation of Synchronous Spiking in Cortical Neural Networks, Nature (London) 402, 529 (1999).
8. C. Mehring, U. Hehl, M. Kubo, M. Diesmann, and A. Aertsen, Activity Dynamics and Propagation of Synchronous Spiking in Locally Connected Random Networks, Biol. Cybernet. 88, 395 (2003)
9. Y. Aviel, C. Mehring, and D. Horn, On Embedding Synfire Chains in a Balanced Network, Neural Comput. 15, 1321 (2003)
10. A. Kumar, S. Rotter, and A. Aertsen, Conditions for Propagating Synchronous Spiking and Asynchronous Firing Rates in a Cortical Network Model, J. Neurosci. 28, 5268 (2008).
11. T. Vogels and L. Abbott, Signal Propagation in Networks of Integrate-and-Fire Neurons, J. Neurosci. 25, 10786 (2005).
12. G. Ariav, A. Polsky, and J. Schiller, Submillisecond Precision of the Input-Output Transformation Function Mediated by Fast Sodium Dendritic Spikes in Basal Dendrites of CA1 Pyramidal Neurons, J. Neurosci. 23, 7750 (2003) [http://www.jneurosci.org/content/23/21/7750.full.pdf+html]
13. S. Gasparini, M. Migliore, and J. C. Magee, On the Initiation and Propagation of Dendritic Spikes in CA1 Pyramidal Neurons, J. Neurosci. 24, 11046 (2004)
14. A. Polsky, B.W. Mel, and J. Schiller, Computational Subunits in Thin Dendrites of Pyramidal Cells, Nat. Neurosci. 7, 621 (2004)
15. S. Gasparini and J. C. Magee, State-Dependent Dendritic Computation in Hippocampal CA1 Pyramidal Neurons, J. Neurosci. 26, 2088 (2006).
16. M. Häusser, N. Spruston, and G. Stuart, Diversity and Dynamics of Dendritic Signaling, Science 290, 739 (2000).
17. B. Mel, The Clusteron: Toward a Simple Abstraction for a Complex Neuron, Adv. Neural Inf. Process. Syst. 4, 35 (1991)
18. in Dendrites, edited by G. Stuart et al. (Oxford University Press, New York, 2007), 2nd ed., pp. 421-440
19. P. Poirazi, T. Brannon, and B. Mel, Arithmetic of Subthreshold Synaptic Summation in a Model CA1 Pyramidal Cell, Neuron 37, 989 (2003).
20. R. Traub and R. Wong, Cellular Mechanism of Neuronal Synchronization in Epilepsy, Science 216, 745 (1982)
21. D. Jin, F. Ramazanoglu, and H. Seung, Intrinsic Bursting Enhances the Robustness of a Neural Network Model of Sequence Generation by Avian Brain Area HVC, J. Comput. Neurosci. 23, 283 (2007).
22. M. Long, D. Jin, and M. Fee, Support for a Synaptic Chain Model of Neuronal Sequence Generation, Nature (London) 468, 394 (2010).
23. S. Jahnke, R.-M. Memmesheimer, and M. Timme (unpublished). R.-M. Memmesheimer, Quantitative Prediction of Intermittent High-Frequency Oscillations in Neural Networks with Supralinear Dendritic Interactions, Proc. Natl. Acad. Sci. U.S.A. 107, 11092 (2010).
24. P. Dayan and L. Abbott, Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems (MIT Press, Cambridge, Massachusetts, 2001).
25. N. Brunel and V. Hakim, Fast Global Oscillations in Networks of Integrate-and-Fire Neurons with Low Firing Rates, Neural Comput. 11, 1621 (1999)
26. M. Helias, M. Deger, S. Rotter, and M. Diesmann, Instantaneous Non-Linear Processing by Pulse-Coupled Threshold Units, PLoS Comput. Biol. 6, e1000929 (2010).
27. M. Abeles, G. Hayon, and D. Lehmann, Modeling Compositionality by Dynamic Binding of Synfire Chains, J. Comput. Neurosci. 17, 179 (2004)
28. S. Goedeke andM. Diesmann, The Mechanism of Synchronization in Feed-Forward Neuronal Networks, New J. Phys. 10, 015007 (2008).
29. R.-M. Memmesheimer and M. Timme, Non-Additive Coupling Enables Propagation of Synchronous Spiking Activity in Purely Random Networks, PLoS Comput. Biol. 8, e1002384 (2012).
30. C. Holmgren, T. Harkany, B. Svennenfors, and Y. Zilberter, Pyramidal Cell Communication within Local Networks in Layer 2=3 of Rat Neocortex, J. Physiol. 551, 139 (2003)
31. S. Song, P. Sjöström, M. Reigl, S. Nelson, and D. Chklovskii, Highly Nonrandom Features of Synaptic Connectivity in Local Cortical Circuits, PLoS Biol. 3, e68 (2005).
32. N. Golding, W. Kath, and N. Spruston, Dichotomy of Action-Potential Backpropagation in CA1 Pyramidal Neuron Dendrites, J. Neurophysiol. 86, 2998 (2001) [http://jn.physiology.org/content/86/6/2998.full]; 87, a1(E) (2001) [http://jn.physiology.org/content/87/2/a1.short]
33. V. Menon, N. Spruston, and W. Kath, A State-Mutating Genetic Algorithm to Design Ion-Channel Models, Proc. Natl. Acad. Sci. U.S.A. 106, 16829 (2009).
34. S. Smith, Circuit Reconstruction Tools Today, Curr. Opin. Neurobiol. 17, 601 (2007)
35. J. Lichtman, J. Livet, and J. Sanes, A Technicolour Approach to the Connectome, Nat. Rev. Neurosci. 9, 417 (2008).
36. R. Mirollo and S. Strogatz, Synchronization of Pulse-Coupled Biological Oscillators, SIAM J. Appl. Math. 50, 1645 (1990)
37. A. Herz and J. Hopfield, Earthquake Cycles and Neural Reverberations:Collective Oscillations in Systems with Pulse-Coupled Threshold Elements, Phys. Rev. Lett. 75, 1222 (1995).
38. A. Moiseffand J. Copeland, Firefly Synchrony: A Behavioral Strategy to Minimize Visual Clutter, Science 329, 181 (2010).
39. P. Andersen, R. Morris, D. Amaral, T. Bliss, and J. O'Keefe, The Hippocampus Book (Oxford University Press, New York, 2007).
40. R. Miles and R. K. Wong, Excitatory Synaptic Interactions between CA3 Neurones in the Guinea-Pig Hippocampus, J. Physiol. 373, 397 (1986) [http://www.ncbi.nlm.nih.gov/pmc/articles/PMC1182545/]
41. J. Deuchars and A. M. Thomson, CA1 Pyramid-Pyramid Connections in Rat Hippocampus in vitro: Dual Intracellular Recordings with Biocytin Filling, Neuroscience (N.Y.) 74, 1009 (1996).
42. M.-O. Gewaltig and M. Diesmann, NEST (Neural Simulation Tool), Scholarpedia 2, 1430 (2007). The software, by the NEST Initiative, is available at www.nestinitiative. org.
43. N. Staff, H. Jung, T. Thiagarajan, M. Yao, and N. Spruston, Resting and Active Properties of Pyramidal Neurons in Subiculum and CA1 of Rat Hippocampus, J. Neurophysiol. 84, 2398 (2000) [http://jn.physiology.org/content/84/5/2398.long].
44. P. Jonas, G. Major, and B. Sakmann, Quantal Components of Unitary EPSCs at the Mossy Fibre Synapse on CA3 Pyramidal Cells of Rat Hippocampus, J. Physiol. 472, 615 (1993)
45. G. Liu and R.W. Tsien, Properties of Synaptic Transmission at Single Hippocampal Synaptic Boutons, Nature (London) 375, 404 (1995).