Application of directed transfer function and network formalism for the assessment of functional connectivity in working memory task (original) (raw)

Abstract

The dynamic pattern of functional connectivity during a working memory task was investigated by means of the short-time directed transfer function. A clear-cut picture of transmissions was observed with the main centres of propagation located in the frontal and parietal regions, in agreement with imaging studies and neurophysiological hypotheses concerning the mechanisms of working memory. The study of the time evolution revealed that most of the time short-range interactions prevailed, whereas the communication between the main centres of activity occurred more sparsely and changed dynamically in time. The patterns of connectivity were quantified by means of a network formalism based on assortative mixing—an approach novel in the field of brain networks study. By means of application of the above method, we have demonstrated the existence of a modular structure of brain networks. The strength of interaction inside the modules was higher than between modules. The obtained results ar...

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.

References (52)

  1. Watts DJ, Strogatz SH. 1998 Collective dynamic of small-world network. Nature 39, 440-442. (doi:10.1038/30918)
  2. Latora V, Marciori M. 2003 Economic small-world behavior in weighted networks. Eur. Phys. J. B 32, 249-263. (doi:10.1140/epjb/e2003-00095-5)
  3. Newman MEJ. 2003 Mixing patterns in networks. Phys. Rev. E 67, 026126. (doi:10.1103/ PhysRevE.67.026126)
  4. Sporns O, Zwi JD. 2004 The small world of cerebral cortex. Neuroinformatics 7, 145-162. (doi:10.1385/NI:2:2:145)
  5. Reijneveld JC, Ponten SC, Berendse HW, Stamm CJ. 2007 The application of graph theoretical analysis to complex networks in the brain. Clin. Neurophys. 118, 2317-2331. (doi:10.1016/ j.clinph.2007.08.010)
  6. Netoff I, Caroll TL, Pecora LM, Schiff SJ. 2006 Detecting coupling in the presence of noise and nonlinearity. In Handbook of time series analysis (eds B Schelter, W Winterhalder, J Timmer), pp. 265-282. Weinheim, Germany: Wiley-VCH.
  7. Pereda E, Quiroga RQ, Bhatcharya J. 2005 Nonlinear multivariate analysis of neurophysiological signals. Progr. Neurobiol. 77, 1-37. (doi:10.1016/j.pneurobio.2005.10.003)
  8. Blinowska KJ, Zygierewicz J. 2011 Practical biomedical signal analysis using Matlab. Boca Raton, FL: CRC Press.
  9. Kuś R, Kamiński M, Blinowska KJ. 2004 Determination of EEG activity propagation: pair- wise versus multichannel estimate. IEEE Trans. Biomed. Eng. 51, 1501-1510. (doi:10.1109/ TBME.2004.827929)
  10. Blinowska KJ, Kuś R, Kamiński M. 2004 Granger causality and information flow in multivariate processes. Phys. Rev. E 70, 050902. (doi:10.1103/PhysRevE.70.050902)
  11. Granger CWJ. 1969 Investigating causal relations by econometric models and cross-spectral methods. Econometrica 37, 424-438. (doi:10.2307/1912791)
  12. Granger CWJ. 1980 Testing for causality: a personal viewpoint. J. Econ. Dyn. Control 2, 329-352. (doi:10.1016/0165-1889(80)90069-X)
  13. Baccala LA, Sameshima K. 2001 Partial directed coherence: a new conception in neural structure determination. Biol. Cybern. 84, 463-474. (doi:10.1007/PL00007990)
  14. Astolfi L et al. 2006 A comparison of different cortical connectivity estimators for high resolution EEG recordings. Hum. Brain Mapp. 28, 143-157. (doi:10.1002/hbm.20263)
  15. Kami ński M, Blinowska KJ. 1991 A new method of the description of the information flow in brain structures. Biol. Cybern. 65, 203-210. (doi:10.1007/BF00198091)
  16. Kami ński M, Ding M, Truccolo W, Bressler S. 2001 Evaluating causal relations in neural systems: Granger causality, directed transfer function and statistical assessment of significance. Biol. Cybern. 85, 145-157. (doi:10.1007/s004220000235)
  17. Korzeniewska A, Ma ńczak M, Kami ński M, Blinowska KJ, Kasicki S. 2003 Determination of information flow direction between brain structures by a modified directed transfer function method (dDTF). J. Neurosci. Methods 125, 195-207. (doi:10.1016/S0165-0270(03)00052-9)
  18. Geweke J. 1982 Measurement of linear dependence and feedback between multiple time series. J. Am. Stat. Assoc. 77, 304-324. (doi:10.1080/01621459.1982.10477803)
  19. Ginter Jr J, Blinowska KJ, Kaminski M, Durka PJ, Pfurtscheller G, Neuper C. 2005 Propagation of EEG activity in the beta and gamma band during movement imagery in humans. Methods Inf. Med. 44, 106-113.
  20. Kuś R, Ginter Jr J, Blinowska KJ. 2006 Propagation of EEG activity during finger movement and its imagination. Acta Neurobiol. Exp. 66, 195-206.
  21. Zhou Z, Chen Y, Ding M, Wright P, Lu Z, Liu Y. 2009 Analyzing brain networks with PCA and conditional Granger causality. Hum. Brain Mapp. 30, 2197-2206. (doi:10.1002/hbm.20661)
  22. Florin S, Gross J, Pfeifer J, Fink GR, Timmmermann L. 2011 Reliability of multivariate causality measures for neural data. J. Neurosci. Methods 198, 344-358. (doi:10.1016/ j.jneumeth.2011.04.005)
  23. Winterhalder M, Scheltera B, Hesse W, Schwab K, Leistritzc L, Klanc D, Bauer R, Timmera J, Witte H. 2005 Comparison of linear signal processing techniques to infer directed interactions in multivariate neural systems. Signal Process. 85, 2137-2160. (doi:10.1016/ j.sigpro.2005.07.011)
  24. Kami ński M, Blinowska KJ, Szelenberger W. 1997 Topographic analysis of coherence and propagation of EEG activity during sleep and wakefulness. Electroencephalogr. Clin. Neurophysiol. 102, 216-227. (doi:10.1016/S0013-4694(96)95721-5)
  25. Franaszczuk PJ, Bergey GJ, Kami ński M. 1994 Analysis of mesial temporal seizure onset and propagation using the directed transfer function method. Electroencephalogr. Clin. Neurophysiol. 91, 413-427. (doi:10.1016/0013-4694(94)90163-5)
  26. Ginter Jr J, Blinowska KJ, Kaminski M, Durka PJ. 2001 Phase and amplitude analysis in time- frequency space-application to voluntary finger movement. J. Neurosci. Methods 110, 13-124. (doi:10.1016/S0165-0270(01)00424-1)
  27. Blinowska KJ, Kuś R, Kaminski M, Janiszewska J. 2010 Transmission of brain activity during cognitive task. Brain Topogr. 23, 205-213. (doi:10.1007/s10548-010-0137-y)
  28. Brzezicka A, Kaminski M, Kaminski J, Blinowska KJ. 2010 Information transfer during transitive reasoning task. Brain Topogr. 24, 1-8. (doi:10.1007/s10548-010-0158-6)
  29. Astolfi L et al. 2008 Tracking the time-varying cortical connectivity patterns by adaptive multivariate estimators. IEEE Trans. Biomed. Eng. 55, 902-913. (doi:10.1109/TBME. 2007.905419)
  30. De Vico Fallani F et al. 2008 Cortical network dynamics during foot movements. Neuroinformatics 6, 23-34. (doi:10.1007/s12021-007-9006-6)
  31. Ding M, Bressler SL, Yang W, Liang H. 2006 Short-window spectral analysis of cortical event- related potentials by adaptive multivariate autoregressive modeling: data preprocessing, model validation, and variability assessment. Biol. Cybern. 83, 35-45. (doi:10.1007/ s004229900137)
  32. Baselli B, Porta A, Rimoldi O, Pagani M, Cerutti S. 1997 Spectral decomposition in multichannel recordings based on multivariate parametric identification. IEEE Trans. Biomed. Eng. 44, 1092-1101. (doi:10.1109/10.641336)
  33. Blinowska KJ, Kaminski M. 2006 Multivariate signal analysis by parametric models. In Handbook of time series analysis (eds B Schelter, M Winterhalder, J Timmer), pp. 387-420. Weinheim, Germany: Wiley-VCH.
  34. Efron B. 1979 Bootstrap methods: another look at the jacknife. Ann. Stat. 7, 1-6. (doi:10.1214/aos/1176344552)
  35. Brzezicka A, Se ¸dek G, Marchewka A, Gola M, Jednoróg K, Królicki L, Wróbel A. 2011 A role for the right prefrontal and bilateral parietal cortex in four-term transitive reasoning: an fMRI study with abstract linear syllogism tasks. Acta Neurobiol. Exp. 71, 479-495.
  36. Cabeza R, Nyberg L. 2000 Imaging condition. II. An empirical review of 275 PET and fMRI studies. J. Cogn. Neurosci. 12, 1-47. (doi:10.1162/08989290051137585)
  37. Fangmeier T, Knauff M, Ruff CC, Sloutsky V. 2006 fMRI evidence for a three-stage model of deductive reasoning. J. Cogn. Neurosci. 18, 320-334. (doi:10.1162/jocn.2006.18.3.320)
  38. Acuna BD, Eliassen JC, Donoghue JP, Sanes JN. 2002 Frontal and parietal lobe activation during transitive inference in humans. Cereb. Cortex 12, 1312-1321. (doi:10.1093/ cercor/12.12.1312)
  39. Onton J, Delorme A, Makeig S. 2005 Frontal midline EEG dynamics during working memory. Neuroimage 27, 341-356. (doi:10.1016/j.neuroimage.2005.04.014)
  40. Lisman JE, Idiart MAP. 1995 Storage of 7 ± 2 short-term memories in oscillatory subcycles. Science 267, 1512-1514. (doi:10.1126/science.7878473)
  41. Kami ński J, Brzezicka A, Wróbel A. 2011 Short-term memory capacity (7 ± 2) predicted by theta to gamma cycle length ratio. Neurobiol. Learn. Mem. 95, 19-23. (doi:10.1016/ j.nlm.2010.10.001)
  42. Buzsaki G. 2006 Rhythms of the brain. Oxford, UK: Oxford University Press.
  43. Changizi MA. 2006 Scaling the brain and its connections. In The evolution of nervous systems in mammals (eds J Kaas, L Krubitzer), pp. 181-187. Oxford, UK: Academic Press.
  44. Karbowski J. 2001 Optimal wiring principle and plateaus in the degree of separation for cortical neurons. Phys. Rev. Lett. 86, 3674-3677. (doi:10.1103/PhysRevLett.86.3674)
  45. Barabasi A, Oltvai ZN. 2004 Network biology: understanding the cell's functional organisation. Nat. Rev. Genet. 5, 101-113. (doi:10.1038/nrg1272)
  46. Sole RV, Valverde S. 2008 Spontaneous emergence of modularity in cellular networks. J. R. Soc. Interface 5, 129-133. (doi:10.1098/rsif.2007.1108)
  47. Humphries MD, Gurney K, Prescott TJ. 2006 The brainstem reticular formation is a small world, not scale-free, network. Proc. R. Soc. B 273, 503-511. (doi:10.1098/rspb.2005.3354) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
  48. Chavez M, Valencia M, Latora V, Martinerie J. 2010 Complex networks: new trends for the analysis of brain connectivity. Int. J. Bifurc. Chaos 20, 1677-1686. (doi:10.1142/ S0218127410026757)
  49. Stam CJ, Jones BF, Nolte G, Breakspeaker M, Scheltens PH. 2007 Small-world networks and functional connectivity in Alzheimer's disease. Cereb. Cortex 17, 92-99. (doi:10.1093/ cercor/bhj127)
  50. Micheloyannis S, Pachou E, Stam CJ, Vourkas M, Erimaki S, Tsirka V. 2006 Using graph theoretical analysis of multi channel EEG to evaluate the neural efficiency hypothesis. Neurosci. Lett. 402, 273-277. (doi:10.1016/j.neulet.2006.04.006)
  51. Korzeniewska A, Crainiceanu C, Kus R, Franaszczuk PJ, Crone NE. 2008 Dynamics of event-related causality (ERC) in brain electrical activity. Hum. Brain Mapp. 29, 1170-1192. (doi:10.1002/hbm.20458)
  52. Engel E, Fries P, Singer W. 2001 Dynamic predictions: oscillations and synchrony in top-down processing. Nat. Rev. Neurosci. 2, 704-716. (doi:10.1038/35094565)