Skip to main content

Spatial Complex Brain Network

  • Chapter
  • First Online:
EEG Signal Processing and Feature Extraction

Abstract

This chapter introduces the research status of spatial complex brain networks from the perspective of graph theory and complex networks. Firstly, we review the theoretical concepts of graph theory and complex networks, and combined them with spatial complex brain networks. We focused on a variety of important network topological properties, and then introduced them based on structural connections, functional connections, and cost-effective connections. Three different types of brain networks were established, and further studies on the relationship between structural brain networks and functional brain networks, as well as brain network research based on computational models. Finally, we discussed the future research directions of spatial complex brain networks.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Barabási AL, Albert R. Emergence of scaling in random network. Science. 1999;286(5439):509–12.

    Article  Google Scholar 

  • Bassett DS, Meyer-Lindenberg A, Achard S, et al. Adaptive reconfiguration of fractal small world human brain functional networks. Proc Natl Acad Sci U S A. 2006;103(51):19518–23.

    Article  CAS  Google Scholar 

  • Betzela RF, Bassett DS. Multi-scale brain networks. NeuroImage. 2017;160:73–83.

    Article  Google Scholar 

  • Cai SM, Hong L, Wei ZQ, et al. Regression analysis of EEG signals based on complex networks. Journal of University of Science and Technology of China. 2011;41(4):331–7.

    Google Scholar 

  • Chen J, Liu C, Peng CK. Topological reorganization of EEG functional network is associated with the severity and cognitive impairment in Alzheimer’s disease. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. 2019;513:588–97.

    Article  Google Scholar 

  • Fang X, Jiang Z. Brain functional network analysis based on electroencephalogram. Acta Phys Sin. 2007;56(12):7330–9.

    CAS  Google Scholar 

  • Felleman DJ, Van Essen DC. Distributed hierarchical processing in the primate cerebral cortex. Cereb Cortex. 1991;1(1):1–47.

    Article  CAS  Google Scholar 

  • Fraga González G, Van der Molen MJW, Žarić G, et al. Graph analysis of EEG resting state functional networks in dyslexic readers. Clin Neurophysiol. 2016;127(9):3165–75.

    Article  Google Scholar 

  • Li G, Li B, Jiang Y. A new method for automatically modelling brain functional networks. BIOMEDICAL SIGNAL PROCESSING AND CONTROL. 2018;45:70–9.

    Article  Google Scholar 

  • Honey CJ, Sporns O, Cammoun L, et al. Predicting human resting-state functional connectivity from structural connectivity. Proc Natl Acad Sci U S A. 2009;106(6):2035–40.

    Article  CAS  Google Scholar 

  • Honey CJ, Kötter R, Breakspear M, et al. Network structure of cerebral cortex shapes functional connectivity on multiple time scales. Proc Natl Acad Sci U S A. 2007;104(24):10240–5.

    Article  CAS  Google Scholar 

  • Hurtado JM, Rubchinsky LL, Sigvardt KA. Statistical method for detection of phase-locking episodes in neural oscillation. J Neurophysiol. 2004;96(4):1883–98.

    Article  Google Scholar 

  • White JG, Southgate E, Thomson JN, et al. The structure of the ventral nerve cord of Caenorhabditis elegans. Philos Trans R Soc Lond Ser B Biol Sci. 1976;275(983):327–48.

    Article  CAS  Google Scholar 

  • Lago-FernÃndez LF, Huerta R, Corbacho F. Fast response and temporal coherent oscillations in small world networks. Phys Rev Lett. 2000;84(12):2758–61.

    Article  Google Scholar 

  • Li Y, Liu Y, Li J, et al. Brain anstomical network and intelligence. PLoS Comput Biol. 2009;5(5):e1000395.

    Article  Google Scholar 

  • Mesulam M. From sensation to cognition. Brain. 1998;121:1013–52.

    Article  Google Scholar 

  • Micheloyannis S, Pachou E, Stam CJ, et al. Small-world networks and disturbed functional connectivity in schizophrenia. Schizophr Res. 2006a;87(123):60–6.

    Article  Google Scholar 

  • Micheloyannis S, Pachou E, Stam CJ, et al. Using graph theoretical analysis of multi channel EEG to evaluate the neural efficiency hypothesis. Neurosci Lett. 2006b;402(3):273–7.

    Article  CAS  Google Scholar 

  • Mohan A, Davidson C, De Ridder D, et al. Effective connectivity analysis of inter- and intramodular hubs in phantom sound perception – identifying the core distress network. Brain Imaging Behav. 2018:1–19. https://doi.org/10.1007/s11682-018-9989-7.

  • Murre JM, Sturdy DP. The connectivity of the brain: multi-level quantitative analysis. Biol Cybern. 1995;73(6):529–45.

    Article  CAS  Google Scholar 

  • Langer N, Pedroni A, Jäncke L. The problem of thresholding in small-world network analysis. PLoS One. 2013;8(1):e53199.

    Article  CAS  Google Scholar 

  • Pachou E, Vourkas M, Simos P, et al. Working memory in schizophrenia: an EEG study using power apectrum and coherence analysis to estimate cortical activation and network behavior. Brain Topogr. 2008;21(2):128–37.

    Article  Google Scholar 

  • Park SM, Kim BJ. Dynamic behaviors in directed networks. Phys Rev E Stat Nonlinear Soft Matter Phys. 2006;74(2 Pt 2):026114.

    Article  Google Scholar 

  • Passingham RE, Stephan KE, Kotter R. The anatomical basis of functional localization in cortex. Nat Rev Neurosci. 2002;3(8):606–16.

    Article  CAS  Google Scholar 

  • Ponten SC, Daffertshofer A, Hillebrand A, et al. The relationship between structural and functional connectivity:graph theoretical analysis of an EEG neural mass model. NeuroImage. 2009;52(3):985–94.

    Article  Google Scholar 

  • Rubinov M, Knock SA, Stam CJ, et al. Small-world properties of nonlinear brain activity in schizophrenia. Hum Brain Mapp. 2009;30(2):403–16.

    Article  Google Scholar 

  • Schindler KA, Bialonski S, Horstmann MT, et al. Evolving functional network properties and synchronizability during human epileptic seizures. Chaos. 2008;18(3):033119.

    Article  Google Scholar 

  • Song S, Sjöström PJ, Reigl M, et al. Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biol. 2005;3(3):e68.

    Article  Google Scholar 

  • Stam CJ. Functional connectivity patterns of human magnetoencephalographic recordings: a small world network? Neurosci Lett. 2004;355(1/2):25–8.

    Article  CAS  Google Scholar 

  • Stephan KE, Hilgetag CC, Burns GA. Computational analysis of functional connectivity between areas of primate cerebral cortex. Philos Trans R Soc Lond Ser B Biol Sci. 2000;355(1393):111–26.

    Article  CAS  Google Scholar 

  • Supekar K, Menon V, Rubin D, et al. Network analysis of intrinsic functional brain connectivity in AD. PLoS Comput Biol. 2008;4(6):e1000100.

    Article  Google Scholar 

  • Toppi J, Astolfi L, Risetti M, et al. Different topological properties of EEG-derived networks describe working memory phases as revealed by graph theoretical analysis. Frontiers in Human Neurosience. 2018;11:637.

    Article  Google Scholar 

  • Utianski RL, Caviness JN, van Straaten EC, et al. Graph theory network function in Parkinson’s disease assessed with electroencephalography. Clin Neurophysiol. 2016;127(5):2228–36.

    Article  Google Scholar 

  • Watts DJ, Strogatz SH. Collective dynamics of small-world networks. Nature. 1998;393(6684):440–2.

    Article  CAS  Google Scholar 

  • Yin ZL, Li J, Zhang Y. Functional brain network analysis of schizophrenic patients with positive and negative syndrome based on mutual information of EEG time series. BIOMEDICAL SIGNAL PROCESSING AND CONTROL. 2017;31:331–8.

    Article  Google Scholar 

  • Zhu G, Wang C, Liu F, et al. Age-related network topological difference based on the sleep ECG signal. Physiol Meas. 2018;39(8):084009.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong Wen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Wen, D., Wei, Z., Zhou, Y., Sun, Y., Li, F., Li, J. (2019). Spatial Complex Brain Network. In: Hu, L., Zhang, Z. (eds) EEG Signal Processing and Feature Extraction. Springer, Singapore. https://doi.org/10.1007/978-981-13-9113-2_13

Download citation

Publish with us

Policies and ethics