Neural networks involved in mathematical thinking: Evidence from linear and non-linear analysis of electroencephalographic activity

Neuroscience Letters

Volumn 373, Issue 3, 2005, Pages 212-217

  Micheloyannis, Sifis ^a   Sakkalis, Vagelis ^a   Vourkas, Michalis ^a   Stam, Cornelis J ^b   Simos, Panagiotis G ^a  

^a UNIVERSITY OF CRETE   (Greece)

^b VU UNIVERSITY MEDICAL CENTER   (Netherlands)

Author keywords

Coherence; Electroencephalography; Mathematics; Non linear synchronization; Power spectrum

Indexed keywords

ARITHMETIC; ARTICLE; BRAIN REGION; CELL SYNCHRONIZATION; ELECTROENCEPHALOGRAM; ELECTROENCEPHALOGRAPHY; FRONTAL CORTEX; LEFT HEMISPHERE; MATHEMATICAL ANALYSIS; MENTAL PERFORMANCE; NERVE CELL NETWORK; NONLINEAR REGRESSION ANALYSIS; POWER SPECTRUM; PRIORITY JOURNAL; TEMPORAL CORTEX; ADULT; ANALYSIS OF VARIANCE; COMPARATIVE STUDY; FEMALE; HUMAN; MALE; MATHEMATICS; METHODOLOGY; NONLINEAR SYSTEM; PHYSIOLOGY; STATISTICAL MODEL; THINKING;

ADULT; ANALYSIS OF VARIANCE; ELECTROENCEPHALOGRAPHY; FEMALE; HUMANS; LINEAR MODELS; MALE; MATHEMATICS; NERVE NET; NONLINEAR DYNAMICS; THINKING;

EID: 16644362639     PISSN: 03043940     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neulet.2004.10.005     Document Type: Article

References (26)

1. M. Breakspear, J.R. Terry, K.J. Friston, A.W.F. Harris, L.M. Williams, K. Brown, J. Brennan, E. Gordon, A disturbance of non-linear interdependence in scalp EEG of subjects with first episode schizophrenia, NeuroImage 20 (2003) 466-478.
2. S.L. Bressler, J.A.S. Kelso, Cortical coordination dynamics and cognition, Trends Cogn. Sci. 5 (2001) 26-36.
3. S. Dehaene, G. Dehaene-Lambertz, L. Cohen, Abstract representations of numbers in the animal and human brain, Trends Neurosci. 21 (1998) 355-361.
4. S. Dehaene, N. Molko, L. Cohen, A.J. Wilson, Arithmetic and the brain, Curr. Opin. Neurobiol. 14 (2004) 218-224.
5. S. Dehaene, M. Piazza, P. Pinel, L. Cohen, Three parietal circuits for number processing, Cogn. Neuropsychol. 20 (2003) 487-506.
6. H. Dehaene, E. Spelke, P. Pinel, R. Stanescu, S. Tsivkin, Sources of mathematical thinking: behavioral and brain-imaging evidence, Science 284 (1999) 970-974.
7. M. Delazer, F. Domahs, L. Bartha, C. Breneis, A. Lochy, T. Trieb, T. Senke, Learning complex arithmetic-an fMRI study, Cogn. Brain Res. 18 (2003) 76-88.
8. G. Dumermuth, L. Molinari, Spectral analysis of the EEG. Some fundamentals revisited and some open problems, Neuropsychobiology 17 (1987) 85-99.
9. M. Dumont, F. Jurysta, J.-P. Lanqart, R-F. Migeotte, P. van de Borne, P. Linkowski, Interdependency between heart rate variability and sleep EEG: linear/non-linear? Clin. Neurophysiol. 115 (1994) 2031-2040.
10. L. Fegenson, S. Dehaene, E. Spelke, Core systems of number, Trends Cogn. Sci. 215 (2004).
11. O. Gruber, P. Indefrey, H. Steinmetz, A. Kleinschmidt, Dissociating neural correlates of cognitive components in mental calculation, Cereb. Cortex 11 (2001) 350-359.
12. T. Kobayashi, K. Hiraki, R. Mugitani, T. Hasegawa, Baby arithmetic: one object plus one tone, Cognition 91 (2004) B23-B34.
13. L. Lee, L.M. Harrison, A. Mechelli, A report of the functional connectivity workshop, Dusseldorf 2002, NeuroImage 19 (2003) 457-465.
14. S. Micheloyannis, N. Flitzanis, E. Papanikolaou, M. Bourkas, D. Terzakis, S. Arvanitis, C.J. Stam, Usefulness of non-linear EEG analysis, Acta Neurol. Scand. 97 (1998) 13-19.
15. S. Micheloyannis, M.M. Tzenaki, M. Bamboukas, M. Giachnakis, N. Paritsis, M. Prokopakis, L. Molinari, Electroencephalographic evaluation of children without neuropsychiatric distrurbances but with poor school performance, J. Child Neurol. 11 (1996) 309-312.
16. H. Mizuhama, L.-Q. Wang, K. Kobayashi, Y. Yamguchi, A long-range cortical network emerging with theta oscillation in a mental task, NeuroReport 15 (2004) 1233-1238.
17. G. Pfurtscheller, Induced oscillations in the alpha band: functional meaning, Epilepsia 44 (Suppl. 12) (2003) 2-8.
18. P. Pinel, S. Dehaene, D. Riviere, D. LeBihan, Modulation of parietal activation by semantic distance in a number comparison task, NeuroImage 14 (2001) 1013-1026.
19. B. Schack, N. Vath, H. Petsche, H.-G. Geissler, E. Moeller, Phase-coupling of theta-gamma EEG rhythms during short-term memory processing, Int. J. Psychophysiol. 44 (2002) 143-163.
20. P.G. Simos, E. Papanikolaou, E. Sakkalis, S. Micheloyannis, Modulation of gamma-band spectral power by cognitive task complexity, Brain Topogr. 14 (2002) 191-196.
21. O. Sporns, G. Tononi, G.M. Edelman, Theoretical neuroanatomy and the connectivity of the cerebral cortex, Behav. Brain Res. 135 (2002) 69-74.
22. C.J. Stam, M. Breakspesr, A.-M. van Cappellen, B.W. van Dijk, Nonlinear synchronization in EEG and whole-head MEG recordings of healthy subjects, Hum. Brain Mapp. 19 (2003) 63-78.
23. C.J. Stam, B.W. Dijk, Synchronization likelihood: an unbiased measure of generalized synchronization in multiple data sets, Physica D 163 (2002) 236-251.
24. A. von Stein, J. Sarntheim, Different frequencies for different scales of cortical integration: from local gamma to long range alpha/theta synchronization, Int. J. Psychophysiol. 38 (2000) 301-313.
25. L.M. Ward, Synchronous neural oscillations and cognitive processes, Trends Cogn. Sci. 7 (2003) 553-559.
26. S. Weiss, H.M. Mueller, The contribution of EEG coherence to the investigation of language, Brain Lang. 85 (2003) 325-343.