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Volumn 8, Issue 8, 2012, Pages

A Canonical Model of Multistability and Scale-Invariance in Biological Systems

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; DYNAMICAL SYSTEMS; HOPF BIFURCATION; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

EID: 84866102100     PISSN: 1553734X     EISSN: 15537358     Source Type: Journal    
DOI: 10.1371/journal.pcbi.1002634     Document Type: Article
Times cited : (140)

References (69)
  • 1
    • 67649993154 scopus 로고    scopus 로고
    • Bistability and non-Gaussian fluctuations in spontaneous cortical activity
    • Freyer F, Aquino K, Robinson PA, Ritter P, Breakspear M, (2009) Bistability and non-Gaussian fluctuations in spontaneous cortical activity. J Neurosci 29: 8512-8524.
    • (2009) J Neurosci , vol.29 , pp. 8512-8524
    • Freyer, F.1    Aquino, K.2    Robinson, P.A.3    Ritter, P.4    Breakspear, M.5
  • 2
    • 79955766627 scopus 로고    scopus 로고
    • Biophysical Mechanisms of Multistability in Resting-State Cortical Rhythms
    • Freyer F, Roberts JA, Becker R, Robinson PA, Ritter P, et al. (2011) Biophysical Mechanisms of Multistability in Resting-State Cortical Rhythms. J Neurosci 31: 6353-6361.
    • (2011) J Neurosci , vol.31 , pp. 6353-6361
    • Freyer, F.1    Roberts, J.A.2    Becker, R.3    Robinson, P.A.4    Ritter, P.5
  • 4
    • 0035495017 scopus 로고    scopus 로고
    • Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems
    • Tsuda I, (2001) Toward an interpretation of dynamic neural activity in terms of chaotic dynamical systems. Behav Brain Sci 24: 793-810.
    • (2001) Behav Brain Sci , vol.24 , pp. 793-810
    • Tsuda, I.1
  • 5
    • 77954383378 scopus 로고    scopus 로고
    • Attractors and noise: twin drivers of decisions and multistability
    • Braun J, Mattia M, (2010) Attractors and noise: twin drivers of decisions and multistability. Neuroimage 52: 740-751.
    • (2010) Neuroimage , vol.52 , pp. 740-751
    • Braun, J.1    Mattia, M.2
  • 6
    • 0015165840 scopus 로고
    • Multistability in perception
    • Attneave F, (1971) Multistability in perception. Sci Am 225: 63-71.
    • (1971) Sci Am , vol.225 , pp. 63-71
    • Attneave, F.1
  • 8
    • 0035151232 scopus 로고    scopus 로고
    • Cortical coordination dynamics and cognition
    • Bressler SL, Kelso JA, (2001) Cortical coordination dynamics and cognition. Trends Cogn Sci 5: 26-36.
    • (2001) Trends Cogn Sci , vol.5 , pp. 26-36
    • Bressler, S.L.1    Kelso, J.A.2
  • 9
    • 0021927137 scopus 로고
    • A theoretical model of phase transitions in human hand movements
    • Haken H, Kelso JA, Bunz H, (1985) A theoretical model of phase transitions in human hand movements. Biol Cybern 51: 347-356.
    • (1985) Biol Cybern , vol.51 , pp. 347-356
    • Haken, H.1    Kelso, J.A.2    Bunz, H.3
  • 10
    • 33747252187 scopus 로고    scopus 로고
    • Decision-making and Weber's law: a neurophysiological model
    • Deco G, Rolls ET, (2006) Decision-making and Weber's law: a neurophysiological model. Eur J Neurosci 24: 901-916.
    • (2006) Eur J Neurosci , vol.24 , pp. 901-916
    • Deco, G.1    Rolls, E.T.2
  • 11
    • 41849119819 scopus 로고    scopus 로고
    • Neurobiological models of two-choice decision making can be reduced to a one-dimensional nonlinear diffusion equation
    • Roxin A, Ledberg A, (2008) Neurobiological models of two-choice decision making can be reduced to a one-dimensional nonlinear diffusion equation. PLoS Comput Biol 4: e1000046.
    • (2008) PLoS Comput Biol , vol.4
    • Roxin, A.1    Ledberg, A.2
  • 12
    • 0037028039 scopus 로고    scopus 로고
    • Probabilistic decision making by slow reverberation in cortical circuits
    • Wang XJ, (2002) Probabilistic decision making by slow reverberation in cortical circuits. Neuron 36: 955-968.
    • (2002) Neuron , vol.36 , pp. 955-968
    • Wang, X.J.1
  • 13
    • 0033671343 scopus 로고    scopus 로고
    • Neurocomputational models of working memory
    • Durstewitz D, Seamans JK, Sejnowski TJ, (2000) Neurocomputational models of working memory. Nat Neurosci 3 Suppl: 1184-1191.
    • (2000) Nat Neurosci , vol.3 Suppl , pp. 1184-1191
    • Durstewitz, D.1    Seamans, J.K.2    Sejnowski, T.J.3
  • 14
    • 77950590631 scopus 로고    scopus 로고
    • Spatial epigenetic control of mono- and bistable gene expression
    • Kelemen JZ, Ratna P, Scherrer S, Becskei A, (2010) Spatial epigenetic control of mono- and bistable gene expression. PLoS Biol 8: e1000332.
    • (2010) PLoS Biol , vol.8
    • Kelemen, J.Z.1    Ratna, P.2    Scherrer, S.3    Becskei, A.4
  • 15
    • 61349148091 scopus 로고    scopus 로고
    • Transcriptional infidelity promotes heritable phenotypic change in a bistable gene network
    • Gordon AJ, Halliday JA, Blankschien MD, Burns PA, Yatagai F, et al. (2009) Transcriptional infidelity promotes heritable phenotypic change in a bistable gene network. PLoS Biol 7: e44.
    • (2009) PLoS Biol , vol.7
    • Gordon, A.J.1    Halliday, J.A.2    Blankschien, M.D.3    Burns, P.A.4    Yatagai, F.5
  • 16
    • 0033270691 scopus 로고    scopus 로고
    • Asymmetric volatility and risk in equity markets
    • Bekaert G, Wu GJ, (2000) Asymmetric volatility and risk in equity markets. Rev Financ Stud 13: 1-42.
    • (2000) Rev Financ Stud , vol.13 , pp. 1-42
    • Bekaert, G.1    Wu, G.J.2
  • 17
    • 54449097071 scopus 로고    scopus 로고
    • Modeling the chemotactic response of Escherichia coli to time-varying stimuli
    • Tu Y, Shimizu TS, Berg HC, (2008) Modeling the chemotactic response of Escherichia coli to time-varying stimuli. Proc Natl Acad Sci U S A 105: 14855-14860.
    • (2008) Proc Natl Acad Sci U S A , vol.105 , pp. 14855-14860
    • Tu, Y.1    Shimizu, T.S.2    Berg, H.C.3
  • 19
    • 0032552114 scopus 로고    scopus 로고
    • Signal-dependent noise determines motor planning
    • Harris CM, Wolpert DM, (1998) Signal-dependent noise determines motor planning. Nature 394: 780-784.
    • (1998) Nature , vol.394 , pp. 780-784
    • Harris, C.M.1    Wolpert, D.M.2
  • 20
    • 38549160013 scopus 로고    scopus 로고
    • Basic math in monkeys and college students
    • Cantlon JF, Brannon EM, (2007) Basic math in monkeys and college students. PLoS Biol 5: e328.
    • (2007) PLoS Biol , vol.5
    • Cantlon, J.F.1    Brannon, E.M.2
  • 21
    • 0035756307 scopus 로고    scopus 로고
    • Variability signatures distinguish verbal from nonverbal counting for both large and small numbers
    • Cordes S, Gelman R, Gallistel CR, Whalen J, (2001) Variability signatures distinguish verbal from nonverbal counting for both large and small numbers. Psychon Bull Rev 8: 698-707.
    • (2001) Psychon Bull Rev , vol.8 , pp. 698-707
    • Cordes, S.1    Gelman, R.2    Gallistel, C.R.3    Whalen, J.4
  • 22
    • 40149084328 scopus 로고    scopus 로고
    • Distinct cerebral pathways for object identity and number in human infants
    • Izard V, Dehaene-Lambertz G, Dehaene S, (2008) Distinct cerebral pathways for object identity and number in human infants. PLoS Biol 6: e11.
    • (2008) PLoS Biol , vol.6
    • Izard, V.1    Dehaene-Lambertz, G.2    Dehaene, S.3
  • 23
    • 58549091090 scopus 로고    scopus 로고
    • State-dependent computations: spatiotemporal processing in cortical networks
    • Buonomano DV, Maass W, (2009) State-dependent computations: spatiotemporal processing in cortical networks. Nat Rev Neurosci 10: 113-125.
    • (2009) Nat Rev Neurosci , vol.10 , pp. 113-125
    • Buonomano, D.V.1    Maass, W.2
  • 24
    • 75549090229 scopus 로고    scopus 로고
    • The free-energy principle: a unified brain theory?
    • Friston K, (2010) The free-energy principle: a unified brain theory? Nat Rev Neurosci 11: 127-138.
    • (2010) Nat Rev Neurosci , vol.11 , pp. 127-138
    • Friston, K.1
  • 27
    • 85035247673 scopus 로고    scopus 로고
    • Dynamics of large-scale brain activity in normal arousal states and epileptic seizures
    • Robinson PA, Rennie CJ, Rowe DL, (2002) Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Phys Rev E Stat Nonlin Soft Matter Phys 65: 041924.
    • (2002) Phys Rev E Stat Nonlin Soft Matter Phys , vol.65 , pp. 041924
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3
  • 30
    • 77954384802 scopus 로고    scopus 로고
    • Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants
    • Spiegler A, Kiebel SJ, Atay FM, Knosche TR, (2010) Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants. Neuroimage 52: 1041-1058.
    • (2010) Neuroimage , vol.52 , pp. 1041-1058
    • Spiegler, A.1    Kiebel, S.J.2    Atay, F.M.3    Knosche, T.R.4
  • 32
    • 0036331380 scopus 로고    scopus 로고
    • Topographic organization of nonlinear interdependence in multichannel human EEG
    • Breakspear M, Terry JR, (2002) Topographic organization of nonlinear interdependence in multichannel human EEG. Neuroimage 16: 822-835.
    • (2002) Neuroimage , vol.16 , pp. 822-835
    • Breakspear, M.1    Terry, J.R.2
  • 34
    • 84866088030 scopus 로고    scopus 로고
    • Normal Forms
    • Murdock J, (2006) Normal Forms. Scholarpedia 1: 1902.
    • (2006) Scholarpedia , vol.1 , pp. 1902
    • Murdock, J.1
  • 35
    • 10944248448 scopus 로고    scopus 로고
    • Synchronization in networks of general, weakly nonlinear oscillators
    • Josic K, Peles S, (2004) Synchronization in networks of general, weakly nonlinear oscillators. J Phys A Math Gen 37: 11801-11817.
    • (2004) J Phys A Math Gen , vol.37 , pp. 11801-11817
    • Josic, K.1    Peles, S.2
  • 38
    • 33747891705 scopus 로고    scopus 로고
    • A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis
    • Breakspear M, Roberts JA, Terry JR, Rodrigues S, Mahant N, et al. (2006) A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb Cortex 16: 1296-1313.
    • (2006) Cereb Cortex , vol.16 , pp. 1296-1313
    • Breakspear, M.1    Roberts, J.A.2    Terry, J.R.3    Rodrigues, S.4    Mahant, N.5
  • 39
    • 0041885311 scopus 로고    scopus 로고
    • A spatially continuous mean field theory of electrocortical activity
    • Liley DT, Cadusch PJ, Dafilis MP, (2002) A spatially continuous mean field theory of electrocortical activity. Network 13: 67-113.
    • (2002) Network , vol.13 , pp. 67-113
    • Liley, D.T.1    Cadusch, P.J.2    Dafilis, M.P.3
  • 41
    • 0030947941 scopus 로고    scopus 로고
    • Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex
    • Amit DJ, Brunel N, (1997) Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex. Cereb Cortex 7: 237-252.
    • (1997) Cereb Cortex , vol.7 , pp. 237-252
    • Amit, D.J.1    Brunel, N.2
  • 42
    • 33847645818 scopus 로고    scopus 로고
    • Impact of spatiotemporally correlated images on the structure of memory
    • Bernacchia A, Amit DJ, (2007) Impact of spatiotemporally correlated images on the structure of memory. Proc Natl Acad Sci U S A 104: 3544-3549.
    • (2007) Proc Natl Acad Sci U S A , vol.104 , pp. 3544-3549
    • Bernacchia, A.1    Amit, D.J.2
  • 43
    • 0039483059 scopus 로고    scopus 로고
    • Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
    • Engelborghs K, Luzyanina T, Roose D, (2002) Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. Acm T Math Software 28: 1-21.
    • (2002) Acm T Math Software , vol.28 , pp. 1-21
    • Engelborghs, K.1    Luzyanina, T.2    Roose, D.3
  • 44
    • 0026636255 scopus 로고
    • Neurotransmitter actions in the thalamus and cerebral cortex and their role in neuromodulation of thalamocortical activity
    • McCormick DA, (1992) Neurotransmitter actions in the thalamus and cerebral cortex and their role in neuromodulation of thalamocortical activity. Prog Neurobiol 39: 337-388.
    • (1992) Prog Neurobiol , vol.39 , pp. 337-388
    • McCormick, D.A.1
  • 45
    • 0036599227 scopus 로고    scopus 로고
    • Unified neurophysical model of EEG spectra and evoked potentials
    • Rennie CJ, Robinson PA, Wright JJ, (2002) Unified neurophysical model of EEG spectra and evoked potentials. Biol Cybern 86: 457-471.
    • (2002) Biol Cybern , vol.86 , pp. 457-471
    • Rennie, C.J.1    Robinson, P.A.2    Wright, J.J.3
  • 46
    • 0034688174 scopus 로고    scopus 로고
    • Construction of a genetic toggle switch in Escherichia coli
    • Gardner TS, Cantor CR, Collins JJ, (2000) Construction of a genetic toggle switch in Escherichia coli. Nature 403: 339-342.
    • (2000) Nature , vol.403 , pp. 339-342
    • Gardner, T.S.1    Cantor, C.R.2    Collins, J.J.3
  • 47
    • 0035896577 scopus 로고    scopus 로고
    • The effect of transcription and translation initiation frequencies on the stochastic fluctuations in prokaryotic gene expression
    • Kierzek AM, Zaim J, Zielenkiewicz P, (2001) The effect of transcription and translation initiation frequencies on the stochastic fluctuations in prokaryotic gene expression. J Biol Chem 276: 8165-8172.
    • (2001) J Biol Chem , vol.276 , pp. 8165-8172
    • Kierzek, A.M.1    Zaim, J.2    Zielenkiewicz, P.3
  • 48
    • 16344387146 scopus 로고    scopus 로고
    • Stochastic simulations of the origins and implications of long-tailed distributions in gene expression
    • Krishna S, Banerjee B, Ramakrishnan TV, Shivashankar GV, (2005) Stochastic simulations of the origins and implications of long-tailed distributions in gene expression. Proc Natl Acad Sci U S A 102: 4771-4776.
    • (2005) Proc Natl Acad Sci U S A , vol.102 , pp. 4771-4776
    • Krishna, S.1    Banerjee, B.2    Ramakrishnan, T.V.3    Shivashankar, G.V.4
  • 49
    • 0019884566 scopus 로고
    • lambda Repressor and cro-components of an efficient molecular switch
    • Johnson AD, Poteete AR, Lauer G, Sauer RT, Ackers GK, et al. (1981) lambda Repressor and cro-components of an efficient molecular switch. Nature 294: 217-223.
    • (1981) Nature , vol.294 , pp. 217-223
    • Johnson, A.D.1    Poteete, A.R.2    Lauer, G.3    Sauer, R.T.4    Ackers, G.K.5
  • 51
    • 0016394337 scopus 로고
    • Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos
    • May RM, (1974) Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos. Science 186: 645-647.
    • (1974) Science , vol.186 , pp. 645-647
    • May, R.M.1
  • 53
    • 0000456175 scopus 로고    scopus 로고
    • Field Theory of Electromagnetic Brain Activity
    • Jirsa VK, Haken H, (1996) Field Theory of Electromagnetic Brain Activity. Phys Rev Lett 77: 960-963.
    • (1996) Phys Rev Lett , vol.77 , pp. 960-963
    • Jirsa, V.K.1    Haken, H.2
  • 54
    • 4444303207 scopus 로고    scopus 로고
    • Estimation of multiscale neurophysiologic parameters by electroencephalographic means
    • Robinson PA, Rennie CJ, Rowe DL, O'Connor SC, (2004) Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Hum Brain Mapp 23: 53-72.
    • (2004) Hum Brain Mapp , vol.23 , pp. 53-72
    • Robinson, P.A.1    Rennie, C.J.2    Rowe, D.L.3    O'Connor, S.C.4
  • 55
    • 0034305571 scopus 로고    scopus 로고
    • Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals
    • Wendling F, Bellanger JJ, Bartolomei F, Chauvel P, (2000) Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol Cybern 83: 367-378.
    • (2000) Biol Cybern , vol.83 , pp. 367-378
    • Wendling, F.1    Bellanger, J.J.2    Bartolomei, F.3    Chauvel, P.4
  • 56
    • 0345415009 scopus 로고    scopus 로고
    • A neural mass model for MEG/EEG: coupling and neuronal dynamics
    • David O, Friston KJ, (2003) A neural mass model for MEG/EEG: coupling and neuronal dynamics. Neuroimage 20: 1743-1755.
    • (2003) Neuroimage , vol.20 , pp. 1743-1755
    • David, O.1    Friston, K.J.2
  • 60
    • 70349243080 scopus 로고    scopus 로고
    • Variational Bayesian identification and prediction of stochastic nonlinear dynamic causal models
    • Daunizeau J, Friston KJ, Kiebel SJ, (2009) Variational Bayesian identification and prediction of stochastic nonlinear dynamic causal models. Physica D 238: 2089-2118.
    • (2009) Physica D , vol.238 , pp. 2089-2118
    • Daunizeau, J.1    Friston, K.J.2    Kiebel, S.J.3
  • 61
    • 80051788915 scopus 로고    scopus 로고
    • Generalised filtering and stochastic DCM for fMRI
    • Li B, Daunizeau J, Stephan KE, Penny W, Hu D, et al. (2011) Generalised filtering and stochastic DCM for fMRI. Neuroimage 58: 442-457.
    • (2011) Neuroimage , vol.58 , pp. 442-457
    • Li, B.1    Daunizeau, J.2    Stephan, K.E.3    Penny, W.4    Hu, D.5
  • 64
    • 6144229366 scopus 로고    scopus 로고
    • From attractor to chaotic saddle: A tale of transverse instability
    • Ashwin P, Buescu J, Stewart I, (1996) From attractor to chaotic saddle: A tale of transverse instability. Nonlinearity 9: 703-737.
    • (1996) Nonlinearity , vol.9 , pp. 703-737
    • Ashwin, P.1    Buescu, J.2    Stewart, I.3
  • 65
    • 0034090426 scopus 로고    scopus 로고
    • Stimulus dependence of two-state fluctuations of membrane potential in cat visual cortex
    • Anderson J, Lampl I, Reichova I, Carandini M, Ferster D, (2000) Stimulus dependence of two-state fluctuations of membrane potential in cat visual cortex. Nat Neurosci 3: 617-621.
    • (2000) Nat Neurosci , vol.3 , pp. 617-621
    • Anderson, J.1    Lampl, I.2    Reichova, I.3    Carandini, M.4    Ferster, D.5
  • 66
    • 28044448731 scopus 로고    scopus 로고
    • Independence of luminance and contrast in natural scenes and in the early visual system
    • Mante V, Frazor RA, Bonin V, Geisler WS, Carandini M, (2005) Independence of luminance and contrast in natural scenes and in the early visual system. Nat Neurosci 8: 1690-1697.
    • (2005) Nat Neurosci , vol.8 , pp. 1690-1697
    • Mante, V.1    Frazor, R.A.2    Bonin, V.3    Geisler, W.S.4    Carandini, M.5
  • 67
    • 0036870950 scopus 로고    scopus 로고
    • Integration of stochastic differential equations on a computer
    • Mannella R, (2002) Integration of stochastic differential equations on a computer. Int J Mod Phys C 13: 1177-1194.
    • (2002) Int J Mod Phys C , vol.13 , pp. 1177-1194
    • Mannella, R.1
  • 69
    • 0001545699 scopus 로고    scopus 로고
    • Propagation and stability of waves of electrical activity in the cerebral cortex
    • Robinson PA, Rennie CJ, Wright JJ, (1997) Propagation and stability of waves of electrical activity in the cerebral cortex. Physical Review E 56: 826-840.
    • (1997) Physical Review E , vol.56 , pp. 826-840
    • Robinson, P.A.1    Rennie, C.J.2    Wright, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.