Local paths to global coherence: Cutting networks down to size

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 89, Issue 3, 2014, Pages

  Hu, Yu ^a   Trousdale, James ^b   Josić, Krešimir ^b   Shea Brown, Eric ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NETWORK ARCHITECTURE;

DYNAMICAL CORRELATIONS; GLOBAL COHERENCE; NETWORK CHARACTERISTICS; NETWORK DYNAMICS; OVERALL NETWORKS; PROBABILISTIC NETWORK; PROBABILITY THEORY; TRIPLET CORRELATIONS;

DYNAMICS;

ACTION POTENTIAL; ALGORITHM; ANIMAL; BIOLOGICAL MODEL; COMPUTER SIMULATION; HUMAN; NERVE CELL; NERVE CELL NETWORK; NERVE TRACT; PHYSIOLOGY; SYNAPTIC TRANSMISSION;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; COMPUTER SIMULATION; HUMANS; MODELS, NEUROLOGICAL; NERVE NET; NEURAL PATHWAYS; NEURONS; SYNAPTIC TRANSMISSION;

EID: 84898929753     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.032802     Document Type: Article

References (50)

1. P. Bonifazi, Science 326, 1419 (2009). SCIEAS 0036-8075 10.1126/science.1175509
2. S. Song, P. J. Sjöström, M. Reigl, S. Nelson, and D. B. Chklovskii, PLoS Biol. 3, e68 (2005). 1544-9173 10.1371/journal.pbio.0030068 (Pubitemid 40605298)
3. R. Perin, T. K. Berger, and H. Markram, Proc. Natl. Acad. Sci. USA 108, 5419 (2011). PNASA6 0027-8424 10.1073/pnas.1016051108
4. R. Milo, Science 303, 1538 (2004). SCIEAS 0036-8075 10.1126/science. 1089167 (Pubitemid 38314428)
5. P. Larimer and B. W. Strowbridge, J. Neurosci. 28, 12212 (2008). JNRSDS 0270-6474 10.1523/JNEUROSCI.3612-08.2008
6. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109
7. S. Strogatz, Physica D 143, 1 (2000). PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4
8. J. Rinzel and G. B. Ermentrout, in Methods in Neuronal Modeling, edited by C. Koch and I. Segev (MIT Press, Cambridge, MA, 1989), pp. 135-169.
9. We quantify second-order correlations between the activity of two nodes (Equation presented) using the cross-covariance functions, defined by (Equation presented).
10. A. Renart, Science 327, 587 (2010). SCIEAS 0036-8075 10.1126/science. 1179850
11. V. Pernice, B. Staude, S. Cardanobile, and S. Rotter, PLoS Comput. Biol. 7, e1002059 (2011). 1553-7358 10.1371/journal.pcbi.1002059
12. V. Pernice, B. Staude, S. Cardanobile, and S. Rotter, Phys. Rev. E 85, 031916 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.031916
13. B. Lindner, B. Doiron, and A. Longtin, Phys. Rev. E 72, 061919 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.72.061919 (Pubitemid 43272978)
14. E. Schneidman, S. Still, M. J. Berry, II, and W. Bialek, Phys. Rev. Lett. 91, 238701 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.238701
15. P. Fries, Trends Cogn. Sci. 9, 474 (2005). 1364-6613 10.1016/j.tics.2005. 08.011 (Pubitemid 41338822)
16. W. Singer and C. M. Gray, Annu. Rev. Neurosci. 18, 555 (1995). ARNSD5 0147-006X 10.1146/annurev.ne.18.030195.003011
17. E. Salinas and T. J. Sejnowski, J. Neurosci. 20, 6193 (2000).
18. M. Diesmann, M.-O. Gewaltig, and A. Aertsen, Nature (London) 402, 529 (1999). NATUAS 0028-0836 10.1038/990101
19. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, 2001).
20. B. B. Averbeck, P. E. Latham, and A. Pouget, Nat. Rev. Neurosci. 7, 358 (2006). 1471-003X 10.1038/nrn1888
21. T. Gawne and B. Richmond, J. Neurosci. 13, 2758 (1993).
22. M. R. Cohen and A. Kohn, Nat. Neurosci. 14, 811 (2011). NANEFN 1097-6256 10.1038/nn.2842
23. E. Zohary, M. N. Shadlen, and W. T. Newsome, Nature (London) 370, 140 (1994). NATUAS 0028-0836 10.1038/370140a0 (Pubitemid 24229125)
24. H. Sompolinsky, H. Yoon, K. Kang, and M. Shamir, Phys. Rev. E 64, 051904 (2001). 1063-651X 10.1103/PhysRevE.64.051904
25. L. F. Abbott and P. Dayan, Neural Comput. 11, 91 (1999). NEUCEB 0899-7667 10.1162/089976699300016827
26. I. Ginzburg and H. Sompolinsky, Phys. Rev. E 50, 3171 (1994). 1063-651X 10.1103/PhysRevE.50.3171
27. T. Sejnowski, Biol. Cybern. 22, 203 (1976). BICYAF 0340-1200 10.1007/BF00365086
28. J. Trousdale, Y. Hu, E. Shea-Brown, and K. Josić, PLoS Comput. Biol. 8, e1002408 (2012). 1553-7358 10.1371/journal.pcbi.1002408
29. Y. Hu, J. Trousdale, K. Josić, and E. Shea-Brown, J. Stat. Mech. (2013) P03012. 10.1088/1742-5468/2013/03/P03012
30. C. W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences (Springer-Verlag, Berlin, 2009).
31. A. G. Hawkes, J. R. Stat. Soc. Ser. B 33, 438 (1971).
32. J. M. Pedraza and A. van Oudenaarden, Science 307, 1965 (2005). SCIEAS 0036-8075 10.1126/science.1109090 (Pubitemid 40404706)
33. R. Tomioka, H. Kimura, T. J. Kobayashi, and K. Aihara, J. Theor. Biol. 229, 501 (2004). JTBIAP 0022-5193 10.1016/j.jtbi.2004.04.034 (Pubitemid 38891615)
34. I. Lestas, J. Paulsson, N. E. Ross, and G. Vinnicombe, IEEE Trans. Automat. Contr. 53, 189 (2008). IETAA9 0018-9286 10.1109/TAC.2007.911347 (Pubitemid 351314549)
35. P. B. Warren, S. Tanase-Nicola, and P. R. Wolde, arXiv:q-bio/0512041.
36. Spectral quantities of stochastic processes are technically defined by considering first the transform over a finite window, i.e., (Equation presented). The spectrum, for instance, is given by (Equation presented).
37. C. Laing and G. J. Lord, Stochastic Methods in Neuroscience (Oxford University Press, Oxford, 2009).
38. Y. J. Wang and G. Y. Wong, J. Am. Stat. Assoc. 82, 8 (1987). JSTNAL 0162-1459 10.1080/01621459.1987.10478385
39. J. J. Daudin, F. Picard, and S. Robin, Stat. Comput. 18, 173 (2008). STACE3 0960-3174 10.1007/s11222-007-9046-7
40. A. Litwin-Kumar and B. Doiron, Nat. Neurosci. 15, 1498 (2012). 10.1038/nn.3220
41. B. J. Prettejohn, M. J. Berryman, and M. D. McDonnell, Front. Comput. Neurosci. 5, 11 (2011). 10.3389/fncom.2011.00011
42. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1990).
43. K. Rajan and L. F. Abbott, Phys. Rev. Lett. 97, 188104 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.188104 (Pubitemid 44684346)
44. D. R. Brillinger, An Introduction to Polyspectra, 1964 (unpublished).
45. Y. C. Kim and E. Powers, IEEE Transactions on Plasma Sciences 7, 120 (1979). 10.1109/TPS.1979.4317207
46. P. Huber, B. Kleiner, T. Gasser, and G. Dumermuth, IEEE Transactions on Audio and Electroacoustics 19, 78 (1971). 10.1109/TAU.1971.1162163
47. U. Alon, Nat. Rev. Genetics 8, 450 (2007). 1471-0056 10.1038/nrg2102 (Pubitemid 46789247)
48. J.-P. Pfister and W. Gerstner, J. Neurosci. 26, 9673 (2006). JNRSDS 0270-6474 10.1523/JNEUROSCI.1425-06.2006 (Pubitemid 44427706)
49. J. Zylberberg and E. Shea-Brown, arXiv:1212.3549.
50. Y. Hu, J. Zylberberg, and E. Shea-Brown, PLoS Comput. Biol. 10, e1003469 (2014). 10.1371/journal.pcbi.1003469