Neural field dynamics on the folded three-dimensional cortical sheet and its forward EEG and MEG

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 2082, Issue , 2001, Pages 286-299

  Jirsa, Viktor K ^a   Jantzen, Kelly J ^a   Fuchs, Armin ^a   Kelso, J A Scott ^a  

^a FLORIDA ATLANTIC UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN MAPPING; ELECTRIC POTENTIAL; ELECTROENCEPHALOGRAPHY; MAGNETIC RESONANCE IMAGING; MAPPING;

CORTICAL SURFACES; ELECTROENCEPHALOGRAPHIC (EEG); INVERSE SOLUTION; METHODOLOGICAL FRAMEWORKS; NEURAL ENSEMBLES; NEURAL FIELD DYNAMICS; SPATIO-TEMPORAL DYNAMICS; THREE DIMENSIONS;

DYNAMICS;

EID: 84937411306     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45729-1_30     Document Type: Conference Paper

References (43)

1. Amari, S.: Dynamics of pattern formation in lateral-inhibition type neural fields. Biol. Cybern. 27 (1977) 77–87
2. Braitenberg, V., Schüz A.: Anatomy of the cortex. Statistics and geometry. Springer, Berlin (1991)
3. Borland, L., Haken, H.: Unbiased determination of forces causing observed processes. The case of additive and weak multiplicative noise. Z. Phys. B - Condensed Matter 81 (1992) 95
4. Borland, L.: Learning the dynamics of two-dimensional stochastic Markov processes. Open Sys. & Inf. Dyn. 1 (1992) 3
5. Dale, A., Fischl, B., Sereno, M.I.: Cortical Surface-Based Analysis I. Neuroimage 9 (1999) 179–194
6. Fischl, B., Sereno, M.I., Dale, A.: Cortical Surface-Based Analysis II. Neuroimage 9 (1999) 195–207
7. Felleman, D.J., Van Essen, D.C.: Distributed hierarchical processing in the primate cerebral cortex. Cerebral Cortex 1 (1991) 1–47
8. Frank, T.D., Daffertshofer, A., Peper, C.E., Beek, P.J., Haken, H.: Towards a comprehensive theory of barin activity: Coupled oscillator systems under external forces. Physica D 144 (2000) 62–86
9. Freeman, W.J.: Tutorial on neurobiology: From single neurons to brain chaos. Inter. Journ. Bif. Chaos 2 (1992) 451–482
10. Fuchs, A., Kelso, J.A.S., Haken, H.: Phase Transitions in the Human Brain: Spatial Mode Dynamics. Inter. Journ. Bif. Chaos 2 (1992) 917–939
11. Fuchs, A., Jirsa, V.K., Kelso, J.A.S.: Theory of the relation between human brain activity (MEG) and hand movements. Neuroimage 11 (2000) 359–369
12. Fuchs, A., Mayville, J.M., Cheyne, D., Weinberg, H., Deecke, L., Kelso, J.A.S.: Spatiotemporal analysis of neuromagnetic events underlying the emergence of coordinative instabilities. Neuroimage 12 (2000) 71–84
13. Haken, H., Kelso, J.A.S., Bunz, H.: A Theoretical Model of Phase transitions in Human Hand Movements. Biol. Cybern. 51 (1985) 347–356
14. Haken, H.: What can Synergetics contribute to the understanding of brain functioning? in: Uhl C. (ed.), Analysis of neurophysiological brain functioning, Springer Berlin (1999)
15. Hämäläinen, M., Sarvas, J.: Realistic conductivity geometry model of the human head for interpretation of neuromagnetic data. IEEE Trans. Biomed. Engin. 36 (1989) 3 165171
16. Hämäläinen, M., Hari, R., Ilmoniemi, R.J., Knuutila, J., Lounasmaa, O.V.: Magnetoencephalography - theory, instrumentation, and applications to noninvasive stu dies of the working hu man brain. Rev. Mod. Phys. 65 (1993) 2 413–497
17. Jantzen, K.J., Fuchs, A., Mayville, J., Deecke, L., Kelso, J.A.S.: Alpha and beta band changes in MEG Reflect Learning Induced Increases in Coordinative Stability. submitted to Clin. Neurophys. (2000)
18. Jirsa, V.K., Friedrich, R., Haken, H.: Reconstruction of the spatio-temporal dynamics of a human magnetoencephalogram. Physica D 89 (1995) 100–122
19. Jirsa, V.K., Haken, H.: Field theory of electromagnetic brain activity. Phys. Rev. Let. 77 (1996) 960–963
20. Jirsa, V.K., Haken, H.: A derivation of a macroscopic field theory of the brain from the quasi-microscopic neural dynamics. Physica D 99 (1997) 503–526
21. Jirsa, V.K., Fuchs, A., Kelso, J.A.S.: Connecting cortical and behavioral dynamics: bimanual coordination. Neur. Comp. 10 (1998) 2019–2045
22. Jirsa, V.K.: Dimension reduction in pattern forming systems with heterogeneous connection topologies. Prog. Theo. Phys. Suppl. 139 (2000) 128–138
23. Jirsa, V.K., Kelso, J.A.S.: Spatiotemporal pattern formation in neural systems with heterogeneous connection topologies. Phys. Rev. E 62 (2000) 8462–8465
24. Kelso, J.A.S.: On the oscillatory basis of movement. Bull. Psychon. Soc. 18 (1981) 63
25. Kelso, J.A.S., Bressler, S.L., Buchanan, S., DeGuzman, G.C., Ding, M., Fuchs, A., Holroyd, T.: A phase transition in human brain and behavior. Phys. Let. A 169 (1992) 134–144
26. Kelso, J.A.S., Jirsa, V.K., Fuchs, A.: Traversing scales of organization in brain and behavior: Experiments and concepts. In: Uhl, C. (ed.), Analysis of neu rophysiological brain functioning, Springer Berlin (1999) 73–125
27. Kelso, J.A.S., Fuchs, A., Lancaster, R., Holroyd, T., Cheyne, D., Weinberg, H.: Dynamic cortical activity in the human brain reveals motor equivalence. Nature 23 (1998) 814–818
28. Knuth, K.: A Bayesian approach to source separation. in: Cardoso, J.F., Jutten, C., Loubaton, P. (eds.), Proceedings of the First International Workshop on Independent Component Analysis and Signal Separation (1999) 283–288
29. Kwapien, J., Drozdz, S., Liu, L.C., Ioannides, A.A.: Cooperative dynamics in auditory brain response. Phys. Rev. E 58 (1998) 6359–6367
30. Kwasniok, F.: The reduction of complex dynamical systems usig principal interaction patterns. Physica D 92 (1996) 28–60
31. Kwasniok, F.: Optimal Galerkin approximations of partial differential equations using principal interaction patterns. Phys. Rev. E 55 (1997) 5365–5375
32. Liley, D.T.J., Cadusch, P.J., Wright, J.J.: A continuum theory of electrocortical activity. Neurocomputing 26-27 (1999) 795
33. Makeig, S., Bell, A.J., Jung, T.P., Sejnowski, T.J.: Independent component analysis of electroencephalic data. in: Touretsky, D., Mozer, M., Hasselmo, M. (eds.), Advances in neural information processing systems. Vol. 8 145–151 MIT Press, Cambridge (1996)
34. Mayville, J.M., Bresssler, S.L., Fuchs, A., Kelso, J.A.S.: Spatiotemporal reorganization of electrical activity in the human brain asscoiated with timing transition in rhythmic auditory-motor coordination. Exp. Brain Res. 127 (1999) 371–381
35. Nunez, P.L.: The brain wave equation: A model for the EEG. Mathematical Biosciences 21 (1974) 279–297
36. Nunez, P.L.: Neocortical dynamics and human EEG rhythms. Oxford University Press (1995)
37. Robinson, P.A., Rennie, C.J., Wright, J.J.: Propagation and stability of waves of electrical activity in the cerebral cortex. Phys. Rev. E 56 (1997) 826
38. Steyn-Ross, M.L., Steyn-Ross, D.A., Sleigh, J.W., Liley, D.T.J.: Theoretical EEG stationary spectrum for a white-noise-driven cortex. Phys. Rev. E 60 (1999) 7299
39. Uhl, C., Friedrich, R., Haken, H.: Analysis of spatio-temporal signals of complex systems. Phys Rev. E 51 (1995) 3890–3900
40. Uhl, C. (ed.): Analysis of neurophysiological brain functioning, Springer Berlin (1999)
41. Wilson, H.R., Cowan, J.D.: Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical Journal 12 (1972) 1–24
42. Wilson, H.R., Cowan, J.D.: A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13 (1973) 55–80
43. Wright, J.J., Liley, D.T.J.: Dynamics of the brain at global and microscopic scales: Neural networks and the EEG. Behav. Brain. Sci. 19 (1996) 285