A structural and a functional aspect of stable information processing by the brain

Cognitive Neurodynamics

Volumn 1, Issue 4, 2007, Pages 295-303

  Majumdar, Kaushik Kumar ^a  

^a INSTITUTE OF MATHEMATICAL SCIENCES   (India)

Author keywords

Brain circuit; Contrast and amplify principle; Cyclic directed subgraphs; Fast Fourier Transform (FFT); Minimization of potential function; Spike trains

Indexed keywords

EID: 35448980780     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-007-9022-0     Document Type: Article

References (27)

1. Abbott LF and Regehr WG (2004) Synaptic computation. Nature 431:796-803
2. Bailey CH, Kandel ER (2004) Synaptic growth and the persistence of long-term memory: a molecular perspective. In: Gazzaniga MS (ed) The cognitive neuroscience III. MIT Press, Cambridge, MA, pp 647-663
3. Bousquet O, Elisseeff A (2002) Generalization and stability. J Mach Learn Res 2:499-526
4. Castro-Alamancos MA, Connors BW (1996) Short-term synaptic enhancement and long-term potentiation in neocortex. Proc Natl Acad Sci 93:1335-1339
5. Ekstrom AD, Kahana MJ, Caplan JB, Fields TA, Isham EA, Newman EL, Fried I (2003) Cellular networks underlying human spatial navigation. Nature 425:184-187
6. Engel AK, Fries P, Singer W (2001) Dynamic predictions: oscillations and synchrony in top-down processing. Nat Rev Neurosci 2:704-716
7. French AS, Holdon AV (1971) Alias-free sampling of neuronal spike trains. Biol Cybern 8:165-171
8. Goldstein H (1950) Classical mechanics. Publishing Co. Inc., USA, Addison-Wesley
9. Harris-Warrick RM, Marder E (1991) Modulation of neural networks for behavior. Annu Rev Neurosci 14:39-57
10. Kandel ER (1976) Cellular basis of behavior: an introduction to behavioral neurobiology. W. H. Freeman and Co., San Francisco
11. Kandel ER (2001) The molecular biology of memory storage: a dialogue between genes and synapses. Science 294:1030-1038
12. Kandel ER (2006) In search of memory: the emergence of a new science of mind. W.W. Norton & Co, New York
13. Kandel ER, Schwartz JH, Jessell TM (2000) Principles of neural science. McGraw Hill, New York
14. Kentros C (2006) Hippocampal place cells: the "where" of episodic memory. Hippocampus 16:743-754
15. Lange GD, Hartline PH (1979) Fourier analysis of spike train data. Biol Cybern 34:31-34
16. Majumdar K (2006a) Detection of phase synchronization between two firing neurons by fast Fourier transform. http://arxiv.org/ftp/q-bio/papers/0612/ 0612004.pdf. Cited 4 Dec 2006
17. Majumdar K (2006b) A new measure of phase synchronization for a pair of time series and seizure focus localization. http://arxiv.org/ftp/nlin/papers/ 0612/0612032.pdf. Cited 13 Dec 2006
18. Majumdar K (2007a) Behavioral response to strong aversive stimuli: a neurodynamical model (submitted to Cognitive Neurodynamics. http://arxiv.org/ ftp/arxiv/papers/0704/0704.0648.pdf. Cited 4 Apr 2007
19. Majumdar K (2007b) A novel architecture for cortical computation, under preparation, aimed for cogprint archive and Neural Networks.
20. Majumdar KK, Kozma R (2006) Studies on sparse array cortical modeling and memory cognition duality. Proc. IJCNN'06, Vancouver, Canada, pp 4954-4957
21. Maldonado PE, Friedman-Hill S, Gray CM (2000) Dynamics of striate cortical activity in the alert macaque: II. Fast time scale synchronization. Cereb Cortex 10:1117-1131
22. Poggio T, Rifkin R, Mukherjee S, Niyogi P (2004) General conditions for predictivity in learning theory. Nature 428:419-422
23. Reich DS, Victor JD, Knight BW, Ozaki T, Kaplan E (1997) Response variability and timing precision of neuronal spike trains in vivo. J Neurophysiol 77:2836-2841
24. Schild D (1982) An efficient method for the Fourier transform of a neuronal spike train. Int J Neurosci 17:179-182
25. Tass P, Rosenblum MG, Weule J, Kurths J, Pikovsky A, Volkmann J, Schnitzler A, Freund H-J (1998) Detection of n:m phase locking from noisy data: application to magnetoencephalography. Phys Rev Lett 81:3291-3294
26. Vapnik VN (1995) The nature of statistical learning theory. Springer, New York
27. Vretbald A (2003) Fourier analysis and its applications. Springer, New York