Skip to main content

2016 | OriginalPaper | Buchkapitel

5. Critical Behavior in Hierarchical Neuropercolation Models of Cognition

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Here we introduce a hierarchical approach to brain dynamics using Freeman K sets, including the hierarchy of \(K0\), \(KI\), \(KII\), and \(KIII\) sets Freeman, Erwin, Scholarpedia, 3(2):3238, 2008, [1]. They correspond to brain scales starting from the sub-mm range to the complete hemisphere, for details see supplementary sections.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
2.
Zurück zum Zitat Freeman WJ (2005) Origin, structure, and role of background EEG activity. Part 3. Neural frame classification. Clin Neurophysiol 116(5):1118–1129CrossRef Freeman WJ (2005) Origin, structure, and role of background EEG activity. Part 3. Neural frame classification. Clin Neurophysiol 116(5):1118–1129CrossRef
3.
Zurück zum Zitat Ilin R, Kozma R (2006) Stability of coupled excitatory-inhibitory neural populations application to control multistable systems. Phys Lett A 360:66–83CrossRef Ilin R, Kozma R (2006) Stability of coupled excitatory-inhibitory neural populations application to control multistable systems. Phys Lett A 360:66–83CrossRef
4.
Zurück zum Zitat Puljic M, Kozma R (2008) Narrow-band oscillations in probabilistic cellular automata. Phys Rev E 78:026214CrossRef Puljic M, Kozma R (2008) Narrow-band oscillations in probabilistic cellular automata. Phys Rev E 78:026214CrossRef
5.
Zurück zum Zitat Puljic M, Kozma R (2010) Broad-band oscillations by probabilistic cellular automata. J Cell Autom 5(6):491–507MathSciNetMATH Puljic M, Kozma R (2010) Broad-band oscillations by probabilistic cellular automata. J Cell Autom 5(6):491–507MathSciNetMATH
6.
Zurück zum Zitat Kozma R, Puljic M (2013) Learning effects in neural oscillators. Cogn Comput 5(2):164–169CrossRefMATH Kozma R, Puljic M (2013) Learning effects in neural oscillators. Cogn Comput 5(2):164–169CrossRefMATH
7.
Zurück zum Zitat Deng J, Elberger AJ (2001) The role of pioneer neurons in the development of mouse visual cortex and corpus callosum. Anat Embryol 204(6):437–453CrossRef Deng J, Elberger AJ (2001) The role of pioneer neurons in the development of mouse visual cortex and corpus callosum. Anat Embryol 204(6):437–453CrossRef
8.
Zurück zum Zitat Morante-Oria J, Carleton A, Ortino B, Kremer EJ, Fairen A, Lledo P-M (2003) Subpallial origin of a population of projecting pioneer neurons during corticogenesis. PNAS 100(21):12468–12473CrossRef Morante-Oria J, Carleton A, Ortino B, Kremer EJ, Fairen A, Lledo P-M (2003) Subpallial origin of a population of projecting pioneer neurons during corticogenesis. PNAS 100(21):12468–12473CrossRef
9.
Zurück zum Zitat Shatz CJ, Chun JJM, Luskin MB (1988) The role of the subplate in the development of the telencephalon. In: Jones EG, Peters A (eds) The cerebral cortex. The development of the cerebral cortex, Vol. III. Plenum, New York, pp 35–58 Shatz CJ, Chun JJM, Luskin MB (1988) The role of the subplate in the development of the telencephalon. In: Jones EG, Peters A (eds) The cerebral cortex. The development of the cerebral cortex, Vol. III. Plenum, New York, pp 35–58
10.
Zurück zum Zitat Allendoerfer KL, Shatz CJ (1994) The subplate, a transient neocortical structure: Its role in the development of connections between thalamus and cortex. Annu Rev Neurosci 17:185–218CrossRef Allendoerfer KL, Shatz CJ (1994) The subplate, a transient neocortical structure: Its role in the development of connections between thalamus and cortex. Annu Rev Neurosci 17:185–218CrossRef
11.
Zurück zum Zitat Paldino A, Harth E (1977) A computerized study of Golgi-impregnated axons in rat visual cortex. In: Lindsay RD (ed) Computer analysis of neuronal structures. Plenum, New York, pp 189–207CrossRef Paldino A, Harth E (1977) A computerized study of Golgi-impregnated axons in rat visual cortex. In: Lindsay RD (ed) Computer analysis of neuronal structures. Plenum, New York, pp 189–207CrossRef
12.
Zurück zum Zitat Braitenberg V, Schuz A (1998) Cortex: statistics and geometry of neuronal connectivity, 2nd edn. Springer, BerlinCrossRef Braitenberg V, Schuz A (1998) Cortex: statistics and geometry of neuronal connectivity, 2nd edn. Springer, BerlinCrossRef
13.
Zurück zum Zitat Bollobas B, Kozma R, Miklos D (eds) (2009) Handbook of large-scale random networks. Bolyai society mathematical studies. Springer, New York. ISBN: 978-3-540-69394-9 Bollobas B, Kozma R, Miklos D (eds) (2009) Handbook of large-scale random networks. Bolyai society mathematical studies. Springer, New York. ISBN: 978-3-540-69394-9
14.
Zurück zum Zitat Freeman WJ, Kozma R, Bollobas B, Riordan O (2009) Chapter 7. Scale-free cortical planar network. In: Bollobas B, Kozma R, Miklos D (eds) Handbook of large-scale random networks. Series: Bolyai mathematical studies, vol 18. Springer, New York, pp. 277–324 Freeman WJ, Kozma R, Bollobas B, Riordan O (2009) Chapter 7. Scale-free cortical planar network. In: Bollobas B, Kozma R, Miklos D (eds) Handbook of large-scale random networks. Series: Bolyai mathematical studies, vol 18. Springer, New York, pp. 277–324
15.
Zurück zum Zitat Freeman WJ, Quian Quiroga R (2013) Imaging brain function with EEG: advanced temporal and spatial analysis of electroencephalographic and electrocorticographic signals. Springer, New YorkCrossRef Freeman WJ, Quian Quiroga R (2013) Imaging brain function with EEG: advanced temporal and spatial analysis of electroencephalographic and electrocorticographic signals. Springer, New YorkCrossRef
16.
Zurück zum Zitat Zhou S, Mondragon RJ (2004) Accurately modeling the internet topology. Phys Rev E 70(6):066108CrossRef Zhou S, Mondragon RJ (2004) Accurately modeling the internet topology. Phys Rev E 70(6):066108CrossRef
17.
Zurück zum Zitat Zamora-Lopez G, Zhou C, Kurths J (2011) Exploring brain function from anatomical connectivity. Front Neurosci, 5 Zamora-Lopez G, Zhou C, Kurths J (2011) Exploring brain function from anatomical connectivity. Front Neurosci, 5
18.
Zurück zum Zitat Van den Heuvel MP, Sporns O (2011) Rich-club organization of the human connectome. J Neurosci 31(44):15775–15786CrossRef Van den Heuvel MP, Sporns O (2011) Rich-club organization of the human connectome. J Neurosci 31(44):15775–15786CrossRef
19.
Zurück zum Zitat Bullmore E, Sporns O (2012) The economy of brain network organization. Nat Rev Neurosci 13(5):336–349 Bullmore E, Sporns O (2012) The economy of brain network organization. Nat Rev Neurosci 13(5):336–349
Metadaten
Titel
Critical Behavior in Hierarchical Neuropercolation Models of Cognition
verfasst von
Robert Kozma
Walter J. Freeman
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-24406-8_5