Statistical mechanics of neocortical interactions nonlinear columnar electroencephalography

NeuroQuantology

Volumn 7, Issue 4, 2009, Pages 500-529

  Ingber, Lester ^a  

^a NONE

Author keywords

EEG; Nonlinear; Short term memory; Simulated annealing; Statistical

Indexed keywords

ARTICLE; BRAIN FUNCTION; ELECTRIC POTENTIAL; ELECTROENCEPHALOGRAPHY; EXCITATORY POSTSYNAPTIC POTENTIAL; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; NEOCORTEX; OSCILLATION; PRESYNAPTIC POTENTIAL; PROBABILITY; QUANTUM MECHANICS; SHORT TERM MEMORY; STATISTICAL ANALYSIS; STOCHASTIC MODEL; VISUAL CORTEX; WORKING MEMORY;

EID: 72949115277     PISSN: None     EISSN: 13035150     Source Type: Journal    
DOI: 10.14704/nq.2009.7.4.248     Document Type: Article

References (79)

1. Alexander D. Is the EEG an epiphenomenon? J Neurosci 2007;27:3030-3036.
2. Alexander D, Arns M, Paul R, Rowe D, Cooper N, Esser A, Fallahpour K, Stephan B, Hessen E, Breteler R, Williams L, Gordon E. EEG markers for cognitive decline in elderly subjects with subjective memory complaints. J Integrative Neurosci 2006;5(1):49-74.
3. Axmacher N, Mormann F, Fernandez G, Elger C, Fell J. Memory formation by neuronal synchronization. Brain Res Rev 2006;52:170-182.
4. Banaclocha M. Neuromagnetic dialogue between neuronal minicolumns and astroglial network: A new approach for memory and cerebral computation. Brain Res Bull 2007;73:21-27.
5. Buxhoeveden D, Casanova M. The minicolumn hypothesis in neuroscience. Brain 2002;125(5):935-951.
6. Crick F, Koch C. Consciousness and neuroscience. 1998;8:97-107
7. Ericsson K, Chase W. Exceptional memory. Am Sci 1982;70:607-615.
8. Gluckman B, Neto-T, Neel E, Ditto W, Spano M, Schi S. Stochastic resonance in a neuronal network from mammalian brain. Phys Rev Lett 1996;77(19).
9. Graham R. Covariant formulation of nonequilibrium statistical thermodynamics. Z Physik 1977;B26:397-405.
10. Graham R. Path-integral methods in nonequilibrium thermodynamics and statistics. In Stochastic Processes in Nonequilibrium Systems (Eds. Garrido L, Seglar P, Shepherd P). Springer, New York, NY, 1978;82-138.
11. Hick W. On the rate of gains of information. Quarterly J Exper Psychology 1952;34(4):1-33.
12. Ingber L. Towards a unified brain theory. J Social Biol Struct 1981;4:211-224.
13. Ingber L. Statistical mechanics of neocortical interactions. I. Basic formulation. Physica D 1982;5:83-107.
14. Ingber L. Statistical mechanics of neocortical interactions. Dynamics of synaptic modifcation. Phys Rev A 1983;28:395-416.
15. Ingber L. Statistical mechanics of neocortical interactions. Derivation of short-termmemory capacity. Phys Rev A 1984;29:3346-3358.
16. Ingber L. Statistical mechanics of neocortical interactions. EEG dispersion relations. IEEE Trans Biomed Eng 1985a;32:91-94.
17. Ingber L. Statistical mechanics of neocortical interactions: Stability and duration of the 7+-2 rule of short-termmemory capacity. Phys Rev A 1985b;31:1183-1186.
18. Ingber L. Statistical mechanics of neocortical interactions. Bull Am Phys Soc 1986a;31:868.
19. Ingber L. Riemannian contributions to shortranged velocitydependent nucleon-nucleon interactions. Phys Rev D 1986b;33:3781-3784.
20. Ingber L. Mesoscales in neocortex and in command, control and communications (C3) systems. In Systems with Learning and Memory Abilities: Proceedings, University of Paris 15-19 June 1987 (Eds. Delacour J, Levy J). Elsevier, Amsterdam, 1988;387-409.
21. Ingber L. Very fast simulated re-annealing. Mathl Comput Modelling 1989;12(8):967-973.
22. Ingber L. Statistical mechanical aids to calculating term structure models. Phys Rev A 1990;42(12):7057-7064.
23. Ingber L. Statistical mechanics of neocortical interactions: A scaling paradigm applied to electroencephalography. Phys Rev A 1991;44(6):4017{4060.
24. Ingber L. Generic mesoscopic neural networks based on statistical mechanics of neocortical interactions. Phys Rev A 1992;45(4):R2183-2186.
25. Ingber L. Adaptive Simulated Annealing (ASA). Tech. Rep. Global optimization C-code, Caltech Alumni Association, Pasadena, CA, 1993a.
26. Ingber L. Statistical mechanics of combat and extensions. In Toward a Science of Command, Control, and Communications (Ed. Jones C). American Institute of Aeronautics and Astronautics, Washington, D.C., 1993b; 117-149.
27. Ingber L. Statistical mechanics of neocortical interactions: Path-integral evolution of shortterm memory. Phys Rev E 1994;49(5B):4652-4664.
28. Ingber L. Statistical mechanics of multiple scales of neocortical interactions. In Neocortical Dynamics and Human EEG Rhythms (Ed. Nunez P). Oxford University Press, New York, NY, 1995a;628-681.
29. Ingber L. Statistical mechanics of neocortical interactions: Constraints on 40 Hz models of short-term memory. Phys Rev E 1995b;52(4):4561-4563.
30. Ingber L. Statistical mechanics of neocortical interactions: Multiple scales of EEG. In Frontier Science in EEG: Continuous Waveform Analysis (Electroencephal. clin. Neurophysiol. Suppl. 45) (Eds. Dasheif R, Vincent D). Elsevier, Amsterdam, 1996a;79-112.
31. Ingber L. Nonlinear nonequilibrium nonquantum nonchaotic statistical mechanics of neocortical interactions. Behavioral and Brain Sci 1996b;19(2):300-301.
32. Ingber L. Statistical mechanics of neocortical interactions: Applications of canonical momenta indicators to electroencephalography. Phys Rev E 1997;55(4):4578-4593.
33. Ingber L. Statistical mechanics of neocortical interactions: Training and testing canonical momenta indicators of EEG. Mathl Computer Modelling 1998;27(3):33-64.
34. Ingber L. Statistical mechanics of neocortical interactions: Reaction time correlates of the g factor. Psycholoquy 1999;10(068). Invited commentary on The g Factor: The Science of Mental Ability by Arthur Jensen. Available from http://www.ingber.com/smni99 g factor.pdf.
35. Ingber L. High-resolution path-integral development of financial options. Physica A 2000;283(3-4):529-558.
36. Ingber L. Ideas by Statistical Mechanics (ISM). J Integrated Systems Design and Process Science 2007;11(3):31-54.
37. Ingber L. Statistical mechanics of neocortical interactions (SMNI): Testing theories with multiple imaging data. NeuroQuantology 2008;6(2):97-104.
38. Ingber L. AI and Ideas by Statistical Mechanics (ISM). In Encyclopedia of Arti-cial Intelligence (Eds. Rabunal J, Dorado J, Pazos A). Information Science Reference, New York, 2008b;58-64.
39. Ingber L. Statistical mechanics of neocortical interactions: Columnar EEG. Tech. Rep. Report 2009:CEEG, Lester Ingber Research, Ashland, OR, 2009a.
40. Ingber L. Statistical mechanics of neocortical interactions: Portfolio of physiological indicators. Open Cybernetics Systemics J 2009b;3(14):13-26. doi: 10.2174/1874110X00903010013.
41. Ingber L, Nunez P. Multiple scales of statistical physics of neocortex: Application to electroencephalography. Mathl Comput Modelling 1990;13(7):83-95.
42. Ingber L, Nunez P. Statistical mechanics of neocortical interactions: High resolution path-integral calculation of short-term memory. Phys Rev E 1995;51(5):5074-5083.
43. Ingber L, Srinivasan R, Nunez P. Path-integral evolution of chaos embedded in noise: During neocortical analog. Mathl Computer Modelling 1996;23(3):43-53.
44. Ingber L, Chen C, Mondescu R, Muzzall D, Renedo M. Probability tree algorithm for general diffusion processes. Phys Rev E 2001;64(5):056702-056707.
45. Jensen A. Individual differences in the Hick paradigm. In Speed of Information-Processing and Intelligence (Ed. Vernon P). Ablex, Norwood, NJ, 1987;101-175.
46. Jensen O, Lisman J. Hippocampal sequenceencoding driven by a cortical multi-item working memory buffer. Trends in Neuroscience 2005; 28(2):67-72.
47. Johnsen S, Lohmann K. Magnetoreception in animals. Phys Today 2008;61:29-35.
48. Kahana M. The cognitive correlates of human brain oscillations. J Neuro 2006;26(6):1669-1672.
49. Kahana M, Seelig D, Madsen J. Theta returns. Current opinion in neurobiology 2001;11:739-744.
50. Kominis I. Zeno is pro Darwin: quantum Zenoeffect suppresses the dependence of radicalion pair reaction yields on exchange and dipolar interactions. Tech. Rep. arXiv:0908.0763v2, [quant-ph], University of Crete, Greece, 2009.
51. Langouche F, Roekaerts D, Tirapegui E. Functional Integration and Semiclassical Expansions. Reidel, Dordrecht, The Netherlands, 1982.
52. Lindner B, Garcia-Ojalvo J, Neiman A, Schimansky-Geier L. Effects of noise in excitable systems. Phys Rep 2004;392:321-424.
53. Lisman J, Idiart M. Storage of 7+-2 Short-Term Memories in Oscillatory Subcycles. Science 1995;267(5203):1512-1515.
54. Logar V, Beliè A, Koritnik B, Brezan S, Zidar J, Karba R, Matko D. Using ANNs to predict a subject's response based on EEG traces. Neural Networks 2008;21(7):881-887.
55. Mathews J, Walker R. Mathematical Methods of Physics, 2nd ed. Benjamin, New York, NY, 1970.
56. Meltzer J, Fonzo G, Constable T. Transverse patterning dissociates human EEG theta power and hippocampal BOLD activation. Psychophysiology 2009; 46(1):153-162.
57. Mormann F, Fell J, Axmacher N, Weber B, Lehnertz K, Elger C, Fernandez G. Phase / amplitude reset and thetagamma interaction in the human medial temporal lobe during a continuous word recognition memory task. Hippocampus 2005; 15:890-900.
58. Mountcastle V. An organizing principle for cerebral function: The unit module and the distributed system. In The Mindful Brain (Eds. Edelman G, Mountcastle V). Massachusetts Institute of Technology, Cambridge, 1978;7-50.
59. Mountcastle V, Andersen R, Motter B. The influence of attentive fixation upon the excitability of the lightsensitive neurons of the posterior parietal cortex. J Neurosci 1981;1:1218-1235.
60. Nunez P. The brain wave equation: A model for the EEG. Math Biosci 1974;21:279- 297.
61. Nunez P. Electric Fields of the Brain: The Neurophysics of EEG. Oxford University Press, London, 1981.
62. Nunez P. Neocortical Dynamics and Human EEG Rhythms. Oxford University Press, New York, NY, 1995.
63. Nunez P, Srinivasan R. Implications of recording strategy for estimates of neocortical dynamics with electroencephalography. Chaos 1993; 3(2):257-266.
64. Osipova D, Takashima A, Oostenveld R, Fernandez G, Maris E, Jensen O. Theta and gamma oscillations predict encoding and retrieval of declarative memory. J Neuro 2006; 26(28):7523-7531.
65. Radman T, Su Y, An J, Parra L, Bikson M. Spike timing amplifes the effect of electric fields on neurons: Implications for endogenous field effects. 2007; 27:3030-3036.
66. Rakic P. Confusing cortical columns. PNAS 2008;105(34):12099-12100.
67. Reite M, Zimmerman J. Magnetic phenomena of the central nervous system. Ann Rev Biophys Engineer 1978;7:167-188.
68. Rodgers C, Hore P. Chemical magnetoreception in birds: The radical pair mechanism. PNAS 2009;106(2):353-360.
69. Schelter W. Maxima. DOE, http://maxima.sourceforge.net, 2009.
70. Schulman L. Techniques and Applications of Path Integration. J. Wiley & Sons, New York, 1981.
71. Sederberg P, Kahana M, Howard M, Donner E, Madsen J. Theta and gamma oscillations during encoding predict subsequent recall. J Neuro 2003;23(34):10809-10814.
72. Shaw G, Vasudevan R. Persistent states of neural networks and the random nature of synaptic transmission. Math Biosci 1974;21:207-218.
73. Singer W. Neuronal synchrony: a versatile code for the definition of relations? Neuron 1999; 24:49-65.
74. Solov'yov I, Schulten K. Magnetoreception through cryptochrome may involve superoxide. Biophys J 2009;96(12):4804-4813.
75. Sommerho G. Logic of the Living Brain. Wiley, New York, NY, 1974.
76. Srinivasan R, Nunez P. Neocortical dynamics, EEG standing waves and chaos. In Nonlinear Dynamical Analysis for the EEG (Eds. Jansen B, Brandt M). World Scientific, London, 1993; 310-355.
77. Williams T, Kelley C. Gnuplot. Dartmouth, http://gnuplot.sourceforge.net, 2008.
78. Zhang G, Simon H. STM capacity for Chinese words and idioms: Chunking and acoustical loop hypotheses. Memory & Cognition 1985; 13:193-201.
79. Zhou C, Kurths J. Noise-induced synchronization and coherence resonance of a Hodgkin-Huxley model of thermally sensitive neurons. Chaos 2003;13:401-409.