Brain Dynamics across levels of Organization

Bak,P., C. Tang, and K. Wiesenfeld, 1988. Self-organized criticality. Physical Review A 38:364-374.

Bak, P., 1996. How Nature works: the science of self-organized criticality. Copernicus, New York.

Basar, E., 1983. Toward a physical approach to integrative Physiology: brain dynamics and physical causality.

Amer.J.Physiol.245, R510-R533.

Basar, E., 2004. Macrodynamics of electrical activity in the whole brain. International Journal

of Bifurcation and Chaos 14:363-381.

Beggs, J. M., Plenz, D., 2003. Neuronal avalanches in neocortical circuits. J. Neurosci 23,11167-11177.

Beggs, J. M., Plenz. D., 2004. Neuronal avalanches are diverse and precise activity patterns that are stable for

many hours in cortical slice cultures. J. Neurosci. 24:5216-5229.

Binney, J., 1992, The theory of critical phenomena. Clarendon Press, Oxford.

Blanchard, P., Cessac, B., Kruger, T., 2000. What can one learn about self-organized criticality from

Dynamical system theory ? J. Statist. Phyics 98:375-404.

Breakspear, M., Stam, C.J., 2005.Dynamics of a neural system with a multiscale architecture.

Phil.Trans.R.Soc.B 360:1051-1074.

Changeux, J-P., 1983. L’homme neuronal. Fayard, Paris.

Changeux, J-P., Dehaene, S., 1989. Neuronal models of cognitive functions. Cognition 33:63-109.

Changeux,J-P., Michel,C.M., 2004. Mechanism of neural Integration at the Brain-scale Level pp.347-370,

In: Microcircuits, Grillner, S. and Graybiel, A.M., edits., The MIT Press, Cambridge MA.

Chialvo, D.R., 2004. Critical brain networks, Physica A 340:756-765.

Chialvo, D.R.,2006. The brain near the edge. 9th Granada Seminar on Computational Physics,

Granada, Spain.

Cosmelli, D., Lachaux, J-P. Thompson, E., 2006. Neurodynamics of consciousness. forthcoming in:

The Cambridge Handbook of Consciousness, Zelazo, P.D., Moscovitch, M., Thomson, E.,edits.

Dehaen, S., Changeux, J-P., Nadal, J-P., 1987. Neural networks that learn temporal sequences by selection. Proc

Natl Acad Sci USA 84:2727-2731.

Dehaene, S., Kerszberg, M., Changeux, J-P., 1998. A neuronal model of a global workspace in effortful cognitive

tasks. Proc Natl Acad Sci USA 95,14529-14534.

Dehaene, S., Naccache, L., 2001. Towards a cognitive neuroscience of consciousness: basic evidence and a

workspace framework. Cognition 79:1-37.

Dehaene, S, Sergent, C., Changeux, J-P., 2003. A neuronal network model linking subjective reports and

objective physiological data during conscious perception, Proc Natl Acad Sci USA 100:8520-8525.

Deahaene, S., Changeux, J-P., 2004, Neuronal mechanisms for access to consciousness. In M Gazzaniga ed. The

Cognitive Neurosciences , 3rd edit, Norton, N.Y., pp.1145-1157.

Dickman, Rp, Munoz, M. A., Vespignani, A., Zapperi, S.,.2002/2006. Paths to self-organized criticality.

arXiv:cond-mat/9910454 v2.

Edelman, G.M., 1989, The remembered present: a biological theory of consciousness. Basic Books, NY.

Edelman, G.M., 1993. Neural Darwinism: selection and reentrant signaling in higher brain function. Neuron 10:115-125.

Edelman, G.M., Tononi, G., 2001. Consciousness: how matter becomes Imagination. Penguin, London.

Eguiluz, V.M., Chialvo, D.R., Cecchi, G,, Baliki, M., Apkarian, A.V., 2005. Scale-free Brain functional networks.

Phys. Rev. Lett. 94:018102.

Fingelkurts, A .A., Fingelkurts, A. A., 2001, Operational architectonics of the human brain biopotential field:

Towards solving the mind-brain Problem. Mind and Brain 2:262-296.

Fingelkurts, A. A. , Fingelkurts, A. A.,2004. Making complexity simpler: multivariability and metastability

in the brain. Internat J.Neurosci 114:843-862.

Fingelkurts ,An.A., Fingelkurts Al.A., Kivisaari,R., Pekkonen,E, Ilmoniemi, R.J., Kahkonen, S.A., 2004. Local and remote functional connectivity of neocortex under the inhibition influence. NeuroImage 22: 1390-1406.

Fingelkurts, A. A., Fingelkurts, A. A., 2005. Mapping of the brain operational architectonics. pp 59-98, in: F J

Chen, ed , Focus on brain mapping research, Nova Science Publ.

http://www.bm-science.com/team/chap.3.pdf

Fingelkurts, A.A., Fingelkurts, A.A., 2006. Timing in cognition and EEG brain dynamics: discreteness versus

continuity. Cogn.Process 7:135-162.

Flyvbjerg, H., 1996., Simplest possible self-organized critical system, Phys Rev Lett 76:940-943.

Freeman, W.J., 2000. Neurodynamics. Springer, New York.

Freeman, W.J . 2003. The wave packet: an action potential for the 21st century. J.Integr. Neurosci. 2:3-30.

Freeman, W.J., 2005. A field-theoretic approach to understanding scale-free neocortical dynamics.

Biol.Cybern. 92:350-359.

Freeman, W.J., Holmes, M.D., 2005. Metastability, instability, and state transitions in neocortex. Neural

Networks 18:497-504.

Frigg, R., 2003. Self-organized criticality –what it is and what it isn’t. Stud. Hist. Phil. Sci 34:613-632.

Gisiger, T., 2001. Scale invariance in biology: coincidence or footprint of a universal mechanism ? Biol.

Rev. 76:161-209.

Grimmett, G., 1989. Percolation. Springer N.Y.

Jensen, H. J., 1998. Self-organized criticality, Cambridge University Press.

Kadanoff, L.P., Goetze, W., Hamblen, D., Hecht, R., Lewis, E.A.S., Palciauskas, V.V. , Rayl, M., Swift, L.,

1967. Static phenomena near critical points: theory and experiment. Rev. Modern Physics 39:395-431.

Kadanoff, L. P., Nagel, S. R., Wu, L., Zhou, S., 1989. Scaling and universality in avalanches. Physical Rev A

39:6524-6537.

Kadanoff, L.P., 1990. Scaling and universality in statistical physics. Physica A 163:1-14.

Kaplan, A.Y.A., Fingelkurts, A.A., Fingelkurts, A.A., Darkhovsky, B.S., 1997. Topological mapping of sharp

reorganization synchrony in multichannel EEG. Am J Electroneurodiagostic Technol. 37:265-275.

Koenig, T., Prichep, L., Lehmann D., 2002., Millisecond by millisecond, year by year: normative EEF microstates

and developmental stages. Neuroimage 16:41-48.

Koukou,M.,Lehmann,D.,1987. An Information processing perspective of psychophysiological measurements.

J.Psychophysiol. 1: 109-112.

Kozma, R., Puljic, M., Balister, P., Bollobas, B., Freeman, W.J., 2005, Phase transitions in the neuropercolation

model of neural populations with mixed local and non-local interactions. Biol. Cyber. 92:367-379.

Lehmann, d., 1984. EEF assessment of brain activity: spatial aspects, segmentation and imaging.

Int.J.Psychophysiol. 1:267-276.

Lehmann, D., Henggeler, B., Koukou,M.,Michel, C.M.,1993. Source localization of brain electric field frequency bands.

Cogn.Brain Res. 1:203-210.

Lehmann, D, Strik WK, Henggeler B, Koenig T, Koukkou, M., 1998., Brain electric microstates and momentary

conscious mind states as building blocks of spontaneous thinking: I. Visual imagery and abstract thoughts.

Internat J Psychophysiol 29:1-11

Lehmann, D., Faber, P.L., Gianotti, L.R.R., Kochi, K., Pascual-Marqui, R.D., 2006, Coherence and phase

Locking in the scalp EEG and between LORETA model sources, and microstates as putative

Mechanisms of brain temporo-spatial functional organization. J. Physiol.Paris 99:29-36.

Le vanQuyen, M., 2003. Disentangling the dynamic core: a research program for a neurodynamics at a large

scale. Biol Res 36:67-88.

Linkenkaer-Hansen, K., Nikouline, V.V., Palva, J.M, Ilmoniemi, R.J., 2001. Long –range temporal correlations

and Scaling behavior in human brain oscillations. J. Neurosci. 21: 1370-1377.

Llinas, R., Ribary, U., Contreras, D., Pedroarena, C., 1998. The neuronal basis of consciousness. Phil Trans R Soc

Lond B 353:1841-1849.

Lumer, E.D., Edelman, G.M., Tononi, G., 1997,. Neural dynamics in a model of the thalamocortical system. I.

Layers, loops, and the emergence of fast synchronous rhythms. Cerebral Cortex 7:207-227.

McComb, W.D., 2004. Renormalization Methods. Clarendon Press, Oxford

Michel, C.M., Seek, M., Landis, T.,1999. Spatiotemporal dynamics of human cognition. News Physiol. Sci. 14: 206-214.

Michel, C.M., Thus, G., Morand S. et al., Electric source imaging of human brain functions. Brain Res. Rev. 36:108-118.

Nunez, P., 1995. Neocortical Dynamics and human EEG Rhythms, Oxford University Press, N.Y.

Nunez, P., 2000. Toward a quantitative description of large-scale neocortical dynamic function and EEG. The

Behavioral and Brain Sciences 23:371-437.

Odor, G., 2004. Universality classes in nonequilibrium lattice systems. Revs Modern Physics 76:663-724.

Olam, Z., Feder, H. J. S., Christensen, K., 1992. Self-organized criticality in a continuous nonconservative

cellular automaton modeling earthquakes. Phys. Rev. Lett. 68:1244-1247.

Paczuski, M., Maslov, S., Bak, P., 1996. Avalanche dynamics in evolution, growth and depinning models.

Physical Rev. E 53:414-443.

Pietronero, L., Vespignani, A., Zapperi, S., 1994. Renormalization scheme for self-organized criticality in

sandpile models. Phys. Rev. Lett. 72:690-1693.

Plenz, D., Thiagarajan,T.C., 2006. The organizing principles of neuronal avalanches: cell assemblies in the cortex ?

TINS (in print).

Raichle, M.E., 2006. The Brain’s dark energy. Science 314:1249-1250.

Sigman M., Dehaene, S., 2005. Parsing a cognitive task: a characterization of the Mind’s bottleneck. PLoS 3(2): e37.

Sporns, O., Tononi, G., Edelman, G.M., 1991. Modeling perceptual grouping and figure-ground segregation by

means of active re-entrant connections. Proc Natl Acad Sci USA 88:129-133.

Sporns, O., Chialvo, D.R., Kaiser, M., Hilgetag, C.C., 2004. Organization, development and function of complex

brain networks. Trends in Cog. Sci. 8:418-425.

Stauffer, D., Aharony, A., 1991/94. Introduction to percolation theory. CRC Press Boca Raton.

Tononi, G., Sporns, O., Edelman, G.M., 1992. Reentry and the problem of integrating multiple cortical areas:

Simulation of dynamic integration in the visual system. Cerebral Cortex 2:310-335.

Vespignani, A.S., Zapperi, S., Pietronero, L., 1995. Renormalization approach to self-organized critical behavior

of sandpile models. Physical Rev E 51:1711-1751.

Vogels, T.P., Rajan, K., Abbott, L.F., 2005. Neural network Dynamics. Annu. Rev. Neurosci. 28:357-376.

Werner,G., 2006. Metastability, Criticality and Phase Transitions in Brain and its Models, BioSystems, in press.

Wilson, K. G., 1979. Problems in physics with many scales. Scientific American 241:149-157 (August).

Yeomans, J.M., 1992/2002. Statistical Mechanics of Phase Transitions. Clarendon Press, Oxford.