메뉴 건너뛰기




Volumn 89, Issue 5, 2014, Pages

Mean-field behavior as a result of noisy local dynamics in self-organized criticality: Neuroscience implications

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS; MEAN FIELD THEORY; NEUROLOGY; NEURONS;

EID: 84901992530     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.89.052139     Document Type: Article
Times cited : (19)

References (51)
  • 1
    • 5844290410 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.59.381
    • P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987). PRLTAO 0031-9007 10.1103/PhysRevLett.59.381
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 381
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 2
    • 15744401041 scopus 로고
    • 0556-2791 10.1103/PhysRevA.38.364
    • P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988). 0556-2791 10.1103/PhysRevA.38.364
    • (1988) Phys. Rev. A , vol.38 , pp. 364
    • Bak, P.1    Tang, C.2    Wiesenfeld, K.3
  • 6
    • 0001550945 scopus 로고
    • There are some exceptions to this general rule where models with finite drive can be mapped to sandpile models, see, for example, () and Ref. [29]. PRLTAO 0031-9007 10.1103/PhysRevLett.63.2563
    • There are some exceptions to this general rule where models with finite drive can be mapped to sandpile models, see, for example, H. Takayasu, Phys. Rev. Lett. 63, 2563 (1989) and Ref. [29]. PRLTAO 0031-9007 10.1103/PhysRevLett. 63.2563
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 2563
    • Takayasu, H.1
  • 7
    • 0000793950 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.62.1813
    • T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.1813
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 1813
    • Hwa, T.1    Kardar, M.2
  • 8
    • 11544332758 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.45.7002
    • T. Hwa and M. Kardar, Phys. Rev. A 45, 7002 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.45.7002
    • (1992) Phys. Rev. A , vol.45 , pp. 7002
    • Hwa, T.1    Kardar, M.2
  • 11
    • 4243862527 scopus 로고
    • PLRAAN 1050-2947 10.1103/PhysRevA.46.1829
    • K. Christensen and Z. Olami, Phys. Rev. A 46, 1829 (1992). PLRAAN 1050-2947 10.1103/PhysRevA.46.1829
    • (1992) Phys. Rev. A , vol.46 , pp. 1829
    • Christensen, K.1    Olami, Z.2
  • 12
    • 0001445250 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.69.1629
    • B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.1629
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1629
    • Drossel, B.1    Schwabl, F.2
  • 15
    • 2642572763 scopus 로고    scopus 로고
    • Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures
    • DOI 10.1523/JNEUROSCI.0540-04.2004
    • J. M. Beggs and D. Plenz, J. Neurosci. 24, 5216 (2004). JNRSDS 0270-6474 10.1523/JNEUROSCI.0540-04.2004 (Pubitemid 38725405)
    • (2004) Journal of Neuroscience , vol.24 , Issue.22 , pp. 5216-5229
    • Beggs, J.M.1    Plenz, D.2
  • 21
    • 77957565867 scopus 로고    scopus 로고
    • 1745-2473 10.1038/nphys1803
    • D. Chialvo, Nat. Phys. 6, 744 (2010). 1745-2473 10.1038/nphys1803
    • (2010) Nat. Phys. , vol.6 , pp. 744
    • Chialvo, D.1
  • 24
    • 77954814545 scopus 로고    scopus 로고
    • EPJBFY 1434-6028 10.1140/epjb/e2010-00164-8
    • A. Abdolvand and A. Montakhab, Eur. Phys. J. B 76, 21 (2010). EPJBFY 1434-6028 10.1140/epjb/e2010-00164-8
    • (2010) Eur. Phys. J. B , vol.76 , pp. 21
    • Abdolvand, A.1    Montakhab, A.2
  • 25
    • 35949010691 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.63.470
    • Y.-C. Zhang, Phys. Rev. Lett. 63, 470 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.63.470
    • (1989) Phys. Rev. Lett. , vol.63 , pp. 470
    • Zhang, Y.-C.1
  • 28
    • 0008679518 scopus 로고
    • JPHAC5 0305-4470 10.1088/0305-4470/24/7/009
    • S. S. Manna, J. Phys. A 24, L363 (1991). JPHAC5 0305-4470 10.1088/0305-4470/24/7/009
    • (1991) J. Phys. A , vol.24
    • Manna, S.S.1
  • 29
    • 9744251040 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/S0378-4371(98)00493-2
    • D. Dhar, Physica A 263, 4 (1999). PHYADX 0378-4371 10.1016/S0378-4371(98) 00493-2
    • (1999) Physica A , vol.263 , pp. 4
    • Dhar, D.1
  • 30
    • 33745657432 scopus 로고    scopus 로고
    • Theoretical studies of self-organized criticality
    • DOI 10.1016/j.physa.2006.04.004, PII S0378437106004006
    • D. Dhar, Physica A 369, 29 (2006). PHYADX 0378-4371 10.1016/j.physa.2006. 04.004 (Pubitemid 43975245)
    • (2006) Physica A: Statistical Mechanics and its Applications , vol.369 , Issue.1 , pp. 29-70
    • Dhar, D.1
  • 32
    • 33645510486 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.73.036131
    • R. Dickman, Phys. Rev. E 73, 036131 (2006). PLEEE8 1539-3755 10.1103/PhysRevE.73.036131
    • (2006) Phys. Rev. e , vol.73 , pp. 036131
    • Dickman, R.1
  • 33
    • 0001167840 scopus 로고
    • 10.1103/PhysRevA.38.4905
    • P. Alstrøm, Phys. Rev. A 38, 4905 (1988). 10.1103/PhysRevA.38.4905
    • (1988) Phys. Rev. A , vol.38 , pp. 4905
    • Alstrøm, P.1
  • 35
    • 42749099827 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.67.066111
    • R. Dickman and J. M. M. Campelo, Phys. Rev. E 67, 066111 (2003). 1063-651X 10.1103/PhysRevE.67.066111
    • (2003) Phys. Rev. e , vol.67 , pp. 066111
    • Dickman, R.1    Campelo, J.M.M.2
  • 37
    • 84856127706 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.58.2957
    • S. Lübeck, Phys. Rev. E 58, 2957 (1998). 1063-651X 10.1103/PhysRevE.58.2957
    • (1998) Phys. Rev. e , vol.58 , pp. 2957
    • Lübeck, S.1
  • 38
    • 0001898814 scopus 로고
    • PRPLCM 0370-1573 10.1016/0370-1573(74)90023-4
    • K. G. Wilson and J. Kogut, Phys. Rep. 12, 75 (1974). PRPLCM 0370-1573 10.1016/0370-1573(74)90023-4
    • (1974) Phys. Rep. , vol.12 , pp. 75
    • Wilson, K.G.1    Kogut, J.2
  • 39
    • 0000943599 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.58.5608
    • A. Montakhab and J. M. Carlson, Phys. Rev. E 58, 5608 (1998). 1063-651X 10.1103/PhysRevE.58.5608
    • (1998) Phys. Rev. e , vol.58 , pp. 5608
    • Montakhab, A.1    Carlson, J.M.2
  • 40
    • 76149114595 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.81.016109
    • E. Martin, A. Shreim, and M. Paczuski, Phys. Rev. E 81, 016109 (2010). PLEEE8 1539-3755 10.1103/PhysRevE.81.016109
    • (2010) Phys. Rev. e , vol.81 , pp. 016109
    • Martin, E.1    Shreim, A.2    Paczuski, M.3
  • 43
    • 84877760471 scopus 로고    scopus 로고
    • 1751-8113 10.1088/1751-8113/46/19/195001
    • M. Hoore and S. Moghimi-Araghi, J. Phys. A 46, 195001 (2013). 1751-8113 10.1088/1751-8113/46/19/195001
    • (2013) J. Phys. A , vol.46 , pp. 195001
    • Hoore, M.1    Moghimi-Araghi, S.2
  • 44
    • 84891688101 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.88.062817
    • H. Bhaumik and S. B. Santra, Phys. Rev. E 88, 062817 (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.062817
    • (2013) Phys. Rev. e , vol.88 , pp. 062817
    • Bhaumik, H.1    Santra, S.B.2
  • 46
    • 0001011929 scopus 로고    scopus 로고
    • PHYADX 0378-4371 10.1016/0378-4371(95)00321-5
    • The self-organized directed percolation model, which does not include a conservation law (nor any dissipation), is an important exception, see P. Grassberger and Y.-C. Zhang, Physica A 224, 169 (1996). PHYADX 0378-4371 10.1016/0378-4371(95)00321-5
    • (1996) Physica A , vol.224 , pp. 169
    • Grassberger, P.1    Zhang, Y.-C.2
  • 47
    • 0000063883 scopus 로고    scopus 로고
    • 1063-651X 10.1103/PhysRevE.53.R1317
    • A. Ben-Hur and O. Biham, Phys. Rev. E 53, R1317 (1996). 1063-651X 10.1103/PhysRevE.53.R1317
    • (1996) Phys. Rev. e , vol.53
    • Ben-Hur, A.1    Biham, O.2
  • 51
    • 84856682689 scopus 로고    scopus 로고
    • PLEEE8 1539-3755 10.1103/PhysRevE.85.011128
    • A. Giometto and H. J. Jensen, Phys. Rev. E 85, 011128 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.85.011128
    • (2012) Phys. Rev. e , vol.85 , pp. 011128
    • Giometto, A.1    Jensen, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.