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Reticular activation and the dynamics of neuronal networks

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Abstract

It is postulated that during arousal the cortical system is driven by a spatially and temporally noisy signal arising from non-specific reticulo-cortical pathways. An elementary unit of cortical neuroanatomy is assumed, which permits non-linear dynamics to be represented by stochastic linear equations. Under these assumptions the resonant modes of the system of cortical dendrites approach thermodynamic equilibrium. Specific sensory signals perturb the dendritic system about equilibrium, generate low frequency, linear, non-dispersive waves corresponding to the EEG, which in turn regulate action potential sequences, and instantiate internal inputs to the dendritic field. A large and distributed memory capacity in axo-synaptic couplings, resistance to interference between functionally separate logical operations, and a very large next-state function set emerge as properties of the network. The model is able to explain the close association of the EEG with cognition, the channel of low capacity corresponding to the field of immediate attention, the low overall correlation of action potentials with EEG, and specificity of action potentials in some neurons during particular cognitive activity. Predictions made from hypothesis include features of thermal equilibrium in EEG (determinable by autoregression) and expectation that the cortical evoked response can be accounted for as the response to a sensory impulse of specific time characteristics.

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References

  • Adametz JH (1959) Rate of recovery of functioning in cats with rostral reticular lesions. J Neurosurg 16:85–97

    Google Scholar 

  • Adey WR (1975) Evidence for cooperative mechanisms in the susceptibility of cerebral tissue to environmental and intrinsic electric fields. In: Schmitt FO, Crothers DM, Schneider DM (eds) Functional linkage in biomolecular systems. Raven Press, New York

    Google Scholar 

  • Alspecton J, Allen RB, Hu V, Satyanarayana S, (1987) Stochastic learning networks and their electronic implementation. In: IEEE Conference on Neural Information Processing. IEEE, New York

    Google Scholar 

  • Anden NE, Dahlström A, Fuxe K, Larsson K, Olsen K, Ungerstedt U (1966) Ascending monoamine neurones to the telencephalon and diencephalon, Acta Physiol Scand 67:313–326

    Google Scholar 

  • Babcock KJ, Westervelt RM (1987) Dynamics of simple electronic neural networks. Physica 28:305–316

    Google Scholar 

  • Babloyantz A, Destexhe A (1986) Low dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci 83:3513–3517

    Google Scholar 

  • Babloyantz A, Nicolis C, Salazar M (1985) Evidence of chaotic dynamics during the sleep cycle. Phys Lett A 111:152–156

    Google Scholar 

  • Broadbent DE (1971) Decision and stress. Academic Press, New York

    Google Scholar 

  • Bullock TH (1988) Compound potentials of the brain, ongoing and evoked: perspectives from comparative neurology. In: Basar E (ed) Dynamics of sensory and cognitive processing by the brain. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Carpenter GS, Grossberg S (1987) Discovering order in chaos: stable self-organisation of neural recognition codes. Ann NY Acad Sci 504:33–51

    Google Scholar 

  • Cowan JD (1968) Statistical mechanics of nervous nets. In: Caianiello ER (ed) Proceedings of the School on Neural networks, June 1967 in Ravello. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Crick FHC (1984) Function of the thalamic reticular complex: the searchlight hypothesis. Proc Natl Acad Sci 81:4587

    Google Scholar 

  • Elul R (1972a) The genesis of the EEG. Int Rev Neurobiol 15:227–272

    Google Scholar 

  • Elul R (1972b) Brain waves: intracellular recording and statistical analysis help clarify their physiological significance. Data acquisition and processing. In: Biology and medicine. Pergamon Press, New York, pp 93–115

    Google Scholar 

  • Feynman RP, Leighton RB, Sands M (1963) The Feynman lectures on physics, pp 24,1–24,2

  • Franaszczuk PJ, Blinowska KJ (1985) Linear model of brain electrical activity — EEG as a superposition of damped oscillatory modes. Biol Cybern 53:19–25

    Google Scholar 

  • Freeman WJ (1987) Simulation of chaotic EEG patterns with a dynamic model of the olfactory system. Biol Cybern 56:139–150

    Google Scholar 

  • Freeman WJ, van Dijk BW (1987) Spatial patterns of visual cortical fast EEG during conditioned reflex in a rhesus monkey. Brain Res 422:267–276

    Google Scholar 

  • Gevins AS (1988) Recent advances in neurocognitive pattern analysis. In: Basar E (ed) Dynamics of sensory and cognitive processing by the brain. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Heinzel HG, Salverston AJ (1988) Gastric mill activity in the lobster. III. Effects of proctolin on the isolated central pattern generator. J Neurophysiol 59:566–585

    Google Scholar 

  • Hopfield JJ, Tank DW (1986) Computing with neural circuits: a model. Science 233:625–633

    Google Scholar 

  • Hubel DH, Wiesel TN (1977) Ferrier lecture: functional architecture of macaque monkey visual cortex. Proc R Soc London (Biol) 198:1–59

    Google Scholar 

  • Ingber L (1986) Statistical mechanics of neocortical interactions. Bull Am Phys Soc 31:868

    Google Scholar 

  • Ingber L, Nunez PL (1990) Multiple scales of statistical physics of neocortex. Applications to electroencephalography, Math Comput Model (in press)

  • Jack JJB, Noble D, Tsein RW (1975) Electrical current flow in excitable cells. Clarendon Press, Oxford

    Google Scholar 

  • Jaspers K (1963) General psychopathology. Manchester University Press, Manchester

    Google Scholar 

  • Kydd RR, Wright JJ (1986) Mental phenomena as changes in state in a finite-state machine. Austr N Z J Psychiatry 20:158–165

    Google Scholar 

  • Lehmann D (1971) Multichannel topography of human alpha EEG fields. Electroencephalogr Clin Neurophysiol 31:439–449

    Google Scholar 

  • Lehmann D, Ozaki H, Pal I (1987) EEG alpha map series: brain micro-states by space-oriented adaptive segmentation. Electroencephalogr Clin Neurophysiol 67:271–288

    Google Scholar 

  • Lopes da Silva FH, Hoeks A, Smits H, Zetterberg LH (1974) Model of brain rhythmic activity. The alpha rhythm of the thalmus. Kybernetik 15:27–37

    Google Scholar 

  • MacLean RD (1955) The limbic system “visceral brain” and emotional behaviour. Arch Neurol Psychiatry 73:130–134

    Google Scholar 

  • Marder E (1988) Modulating a neuronal network. Nature 335:296–297

    Google Scholar 

  • McClelland JL, Rumelhart DE and colleagues (1986a) Parallel distributed processing. Explorations in the microstructure of cognition. MIT Press, Cambridge

    Google Scholar 

  • McClelland JL, Feldman J, Bower G, McDermott D (1986b) at Connectionist models and cognitive science: goals, directions, and implications. In: Report of a Workshop on Connectionism. National Science Foundation

  • Moruzzi G, Magoun HW (1949) Brain stem reticular formation and activation of the EEG. Electroencephalogr Clin Neurophysiol 1:455–473

    Google Scholar 

  • Mountcastle VB (1978) An organising principle for cerebral function. The unit module and the distributed system. In: Edelman GM, Mountcastle VB (eds) The mindful brain. MIT Press, Cambridge

    Google Scholar 

  • Mitraszewski P, Blinowska KJ, Franaszczuk PJ, Kowalczyk M (1987) A study of stability of electrocortical rhythm generators. Biol Cybern 56:255–260

    Google Scholar 

  • Mitzdorf U (1988) Evoked potentials and their physiological causes: an access to delocalised cortical activity. In: Basar E (ed) Dynamics of sensory and cognitive processing by the brain. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Mpitsos J (1987) Variability and low dimensional chaos in neurons of a simple nervous system. Implication for self organisation of adaptive motor patterns. Paper presented at the Second International Conference on Dynamics of Sensory and Cognitive Processing by the Brain. Berlin, August 1987

  • Nauta WJ, Feirtag M (1979) The organisation of the brain. Sci Am 241:78–105

    Google Scholar 

  • Nunez PL (1981) Electric field of the brain. The neurophysics of the EEG. Oxford University Press, New York Oxford

    Google Scholar 

  • Nunez PL (1989) Towards a physics of neocortex. In: Marelis VZ (ed) Advanced methods of physiological systems modelling. Plenum Press, New York

    Google Scholar 

  • Pockberger H, Rappelsberger P, Petsche H (1988) Cognitive processing in the EEG. In: Basar E (ed) Dynamics of sensory and cognitive processing by the brain. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Robbins TW, Everitt BJ (1982) Functional studies of the central catecholamines. Int Rev Neurobiol 23:303–365

    Google Scholar 

  • Rolls ET (1974) The neural basis of brain-stimulation reward. In: Kerkut GA, Phyllis JW (eds) Progress in neurobiology. Pergamon Press, New York

    Google Scholar 

  • Rossler OE (1983) The chaotic hierarchy. Z Naturforsch 38A:788–802

    Google Scholar 

  • Scheibel ME, Scheibel AB (1967) Structural organisation of nonspecific thalamic nucleii and their projection toward cortex. Brain Res 6:60–94

    Google Scholar 

  • Shannon CE, Weaver W (1949) The mathematical theory of communication. University of Illinois Press, Illinois

    Google Scholar 

  • Shaw NA (1988) The auditory evoked potential in the rat — a review. Progr Neurobiol 31:19–45

    Google Scholar 

  • Skarda CA, Freeman WJ (1987) How brains make chaos in order to make sense of the world. Behav Brain Sci 10:161–195

    Google Scholar 

  • Squires KC, Donchin E (1976) Beyond averaging: the use of discriminant functions to recognise event related potentials elicited by single auditory stimuli. Electroencephalogr Clin Neurophysiol 41:449–459

    Google Scholar 

  • Stryker MP (1989) Is grandmother an oscillation? Nature 338:297–298

    Google Scholar 

  • Watt RC, Hameroff SR (1988) Phase space electroencephalography: a new mode of intraoperative EEG analysis. Int J Clin Monit Comput 5:3–13

    Google Scholar 

  • Wise RA (1978) Catecholamine theories of reward: a critical review. Brain Res 152:215–247

    Google Scholar 

  • Wright JJ, Craggs MD (1977) Arousal and intracranial selfstimulation in split-brain monkeys. Exp Neurol 55:295–303

    Google Scholar 

  • Wright JJ, Kydd RR, Lees GJ (1985) State-changes in the brain viewed as linear steady-states and non-linear transitions between steady-states. Biol Cybern 53:11–17

    Google Scholar 

  • Wright JJ, Kydd RR, Lees GJ (1987) Gross electrocortical activity as a linear wave phenomenon with variable temporal damping regulated by ascending catecholamine neurones. Int Neurosci 33:1–13

    Google Scholar 

  • Wright JJ, Kydd RR, Sergejew AA (1990) Autoregression models of EEG. Results compared with expectations for a high order multilinear near-equilibrium biophysical process. Biol Cybern 62:201–210

    Google Scholar 

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  1. Department of Psychiatry and Behavioural Science, School of Medicine, University of Auckland, Auckland, New Zealand

    J. J. Wright

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Wright, J.J. Reticular activation and the dynamics of neuronal networks. Biol. Cybern. 62, 289–298 (1990). https://doi.org/10.1007/BF00201443

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