Biophysical mechanisms of multistability in resting-state cortical rhythms

Journal of Neuroscience

Volumn 31, Issue 17, 2011, Pages 6353-6361

  Freyer, Frank ^a,b   Roberts, James A ^c   Becker, Robert ^a,b   Robinson, Peter A ^d,e,f   Ritter, Petra ^a,b,g,h   Breakspear, Michael ^c,i,j  

^a BERNSTEIN CENTER FOR COMPUTATIONAL NEUROSCIENCE   (Germany)

^b CHARITÉ UNIVERSITÄTSMEDIZIN BERLIN   (Germany)

^c QIMR BERGHOFER MEDICAL RESEARCH INSTITUTE   (Australia)

^d UNIVERSITY OF SYDNEY   (Australia)

^e UNIVERSITY OF SYDNEY   (Australia)

^f Center for Integrated Research and Understanding of Sleep   (Australia)

^g MAX PLANCK INSTITUTE FOR HUMAN COGNITIVE AND BRAIN SCIENCES   (Germany)

^h HUMBOLDT UNIVERSITY   (Germany)

ⁱ UNIVERSITY OF NEW SOUTH WALES   (Australia)

^j ROYAL BRISBANE AND WOMEN'S HOSPITAL   (Australia)

more..

Author keywords

[No Author keywords available]

Indexed keywords

ALPHA RHYTHM; AMPLITUDE MODULATION; ARTICLE; BIOPHYSICS; BRAIN CORTEX; BRAIN NERVE CELL; ELECTROENCEPHALOGRAM; NERVOUS SYSTEM PARAMETERS; OSCILLATION; POSTSYNAPTIC POTENTIAL; PRIORITY JOURNAL; RESTING STATE CORTICAL RHYTHM; SYNAPSE; THALAMUS;

ALPHA RHYTHM; BIOPHYSICAL PROCESSES; CEREBRAL CORTEX; ELECTROENCEPHALOGRAPHY; HUMANS; MODELS, NEUROLOGICAL; NEURAL PATHWAYS; NEURONS; PROBABILITY; REST; THALAMUS; TIME FACTORS;

EID: 79955766627     PISSN: 02706474     EISSN: 15292401     Source Type: Journal    
DOI: 10.1523/JNEUROSCI.6693-10.2011     Document Type: Article

References (56)

1. Ashwin P, Field M (1999) Heteroclinic networks in coupled cell systems. Arch Ration Mech Anal 148:107-143.
2. Ashwin P, Buescu J, Stewart I (1996) From attractor to chaotic saddle: a tale of transverse instability. Nonlinearity 9:703-737.
3. Balakrishnan N, Basu AP (1996) The exponential distribution: theory, methods, and applications. New York: Gordon and Breach.
4. Bramwell ST, Christensen K, Fortin J, Holdsworth PC, Jensen HJ, Lise S, Lopez JM, Nicodemi M, Pinton J, Sellitto M (2000) Universal fluctuations in correlated systems. Phys Rev Lett 84:3744-3747.
5. Braun J, Mattia M (2010) Attractors and noise: twin drivers ofdecisions and multistability. Neuroimage 52:740-751.
6. Breakspear M, Terry JR (2002) Detection and description of non-linear interdependence in normal multichannel human EEG data. Clin Neuro-physiol 113:735-753.
7. Breakspear M, Roberts JA, Terry JR, Rodrigues S, Mahant N, Robinson PA (2006) A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb Cortex 16:1296-1313.
8. Buonomano DV, Maass W (2009) State-dependent computations: spatio-temporal processing in cortical networks. Nat Rev Neurosci 10:113-125.
9. Dayan P, Abbott LF (2001) Theoretical neuroscience. London: Massachusetts Institute of Technology.
10. Deco G, Rolls ET (2006) Decision-making and Weber's law: a neurophysi-ological model. Eur J Neurosci 24:901-916.
11. Deco G, Pérez-Sanagustín M, de Lafuente V, Romo R (2007) Perceptual detection as a dynamical bistability phenomenon: a neurocomputational correlate of sensation. Proc Natl Acad Sci U S A 104:20073-20077.
12. Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol 4:e1000092.
13. Deco G, Rolls ET, Romo R (2009) Stochastic dynamics as a principle of brain function. Prog Neurobiol 88:1-16.
14. Deco G, Jirsa V, McIntosh AR, Sporns O, Kötter R (2009) Key role of coupling, delay, and noiseinresting brain fluctuations. Proc Natl Acad Sci U S A 106:10302-10307.
15. Ditzinger T, Haken H (1989) Oscillations in the perception of ambiguous patterns: a model based on synergetics. Biol Cybern 61:279-287.
16. Engelborghs K, Luzyanina T, Roose D (2002) Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM T Math Software 28:1-21.
17. Faisal AA, Selen LP, Wolpert DM (2008) Noise in the nervous system. Nat Rev Neurosci 9:292-303.
18. Freeman W (1975) Mass action in the nervous system: examination of the neurophysiological basis of adaptive behaviour through the EEG. New York: Academic.
19. Freyer F, Aquino K, Robinson PA, Ritter P, Breakspear M (2009) Bistability and non-Gaussian fluctuations in spontaneous cortical activity. J Neuro-sci 29:8512-8524.
20. Friston K (2005) A theory of cortical responses. Philos Trans R Soc Lond B Biol Sci 360:815-836.
21. Friston KJ (1997) Transients, metastability, and neuronal dynamics. Neu-roimage 5:164-171.
22. Friston KJ, Dolan RJ (2010) Computational and dynamic models in neuro-imaging. Neuroimage 52:752-765.
23. Ghosh A, Rho Y, McIntosh AR, Kötter R, Jirsa VK (2008) Noise during rest enables the exploration of the brain's dynamic repertoire. PLoS Comput Biol 4:e1000196.
24. Harris CM, Wolpert DM (1998) Signal-dependent noise determines motor planning. Nature 394:780-784.
25. Haynes JD, Deichmann R, Rees G (2005) Eye-specific effects of binocular rivalry in the human lateral geniculate nucleus. Nature 438:496-499.
26. Jirsa VK, Haken H (1996) Field theory of electromagnetic brain activity. Phys Rev Lett 77:960-963.
27. Liley DT, Cadusch PJ, Dafilis MP (2002) A spatially continuous mean field theory of electrocortical activity. Network 13:67-113.
28. Lopes da Silva FH, van Lierop TH, Schrijer CF, van Leeuwen WS (1973) Organization of thalamic and cortical alpha rhythms: spectra and coherences. Electroencephalogr Clin Neurophysiol 35:627-639.
29. Lopes da Silva FH, Hoeks A, Smits H, Zetterberg LH (1974) Model of brain rhythmic activity. The alpha-rhythm of the thalamus. Kybernetik 15:27-37.
30. Lopes da Silva FH, Pijn JP, Velis D, Nijssen PC (1997) Alpha rhythms: noise, dynamics and models. Int J Psychophysiol 26:237-249.
31. Lopes da Silva F, Blanes W, Kalitzin SN, Parra J, Suffczynski P, Velis DN (2003) Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia 44:72-83.
32. Lumer ED, Friston KJ, Rees G (1998) Neural correlates of perceptual rivalry in the human brain. Science 280:1930-1934.
33. Mannella R (2002) Integration of stochastic differential equations on a computer. Int J Mod Phys C 13:1177-1194.
34. Marreiros AC, Daunizeau J, Kiebel SJ, Friston KJ (2008) Population dynamics: variance and the sigmoid activation function. Neuroimage 42:147-157.
35. McCormick DA (1992) Neurotransmitter actions in the thalamus and cerebral-cortex and their role in neuromodulation of thalamocortical activity. Prog Neurobiol 39:337-388.
36. Nakamura T, Kiyono K, Yoshiuchi K, Nakahara R, Struzik ZR, Yamamoto Y (2007) Universal scaling law in human behavioral organization. Phys Rev Lett 99:138103.
37. Nunez PL (1995) Neocortical dynamics and human EEG rhythms. Oxford: Oxford UP.
38. Nunez PL (2000) Toward a quantitative description of large-scale neocortical-cal dynamic function and EEG. Behav Brain Sci 23:371-437; discussion.
39. Robinson PA, Rennie CJ, Wright JJ (1997) Propagation and stability of waves of electrical activity in the cerebral cortex. Phys Rev E 56:826-840.
40. Robinson PA, Loxley PN, O'Connor SC, Rennie CJ (2001) Modal analysis of corticothalamic dynamics, electroencephalographic spectra, and evoked potentials. Phys Rev E Stat Nonlin Soft Matter Phys 63:041909.
41. Robinson PA, Rennie CJ, Wright JJ, Bahramali H, Gordon E, Rowe DL (2001) Prediction of electroencephalographic spectra from neurophysiology. Phys Rev E Stat Nonlin Soft Matter Phys 63:021903.
42. 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.
43. Robinson PA, Rennie CJ, Rowe DL, O'Connor SC (2004) Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Hum Brain Mapp 23:53-72.
44. Schöner G, Kelso JA (1988) Dynamic pattern generation in behavioral and neural systems. Science 239:1513-1520.
45. Shu Y, Hasenstaub A, Badoual M, Bal T, McCormick DA (2003) Barrages of synaptic activity control the gain and sensitivity of cortical neurons. J Neurosci 23:10388-10401.
46. Stam CJ, Pijn JP, Suffczynski P, Lopes da Silva FH (1999) Dynamics of the human alpha rhythm: evidence for non-linearity? Clin Neurophysiol 110:1801-1813.
47. Stephan KE, Kasper L, Harrison LM, Daunizeau J, den Ouden HE, Breakspear M, Friston KJ (2008) Nonlinear dynamic causal models for fMRI. Neu-roimage 42:649-662.
48. Strogatz SH (1994) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering. New York: Perseus Books.
49. Suffczynski P, Kalitzin S, Lopes Da Silva FH (2004) Dynamics of non-convulsive epileptic phenomena modeled by a bitable neuronal network. Neuroscience 126:467-484.
50. Tsallis C (2006) Occupancy of phase space, extensivity of S-q, and q-generalized central limit theorem. Physica A 365:7-16.
51. Uhlenbeck GE, Ornstein LS (1930) On the theory of the Brownian motion. Phys Rev 36:0823-0841.
52. Valdes PA, Jimenez JC, Riera J, Biscay R, Ozaki T (1999) Nonlinear EEG analysis based on a neural mass model. Biol Cybern 81:415-424.
53. Wang XJ (2002) Probabilistic decision making by slow reverberation in cortical circuits. Neuron 36:955-968.
54. Weber EH (1834) De pulso, resorptione, auditu et tactu. In: Annotationes anatomicaeet physiologicae, pp 252-274. Leipzig: Koehler.
55. Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24.
56. Zaslavsky GM (2002) Chaos, fractional kinetics and anomalous transport. Phys Rep 371:461-580.