Abstract
This study deals with neurophysiologically based models simulating electrical brain activity (i.e., the electroencephalogram or EEG, and evoked potentials or EPs). A previously developed lumped-parameter model of a single cortical column was implemented using a more accurate computational procedure. Anatomically acceptable values for the various model parameters were determined, and a multi-dimensional exploration of the model parameter-space was conducted. It was found that the model could produce a large variety of EEG-like waveforms and rhythms. Coupling two models, with delays in the interconnections to simulate the synaptic connections within and between cortical areas, made it possible to replicate the spatial distribution of alpha and beta activity. EPs were simulated by presenting pulses to the input of the coupled models. In general, the responses were more realistic than those produced using a single model. Our simulations also suggest that the scalp-recorded EP is at least partially due to a phase reordering of the ongoing activity.
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References
Albus K, Chao HH-A, Hicks TP (1992) Tachykinins preferentially excite certain complex cells in the infragranular layers of feline striate cortex. Brain Res 587:353–357
Barbas H, Henion TH, Dermon CR (1991) Diverse thalamic projections to the prefrontal cortex in the rhesus monkey. J Comp Neurol 313:65–94
Braitenberg V, Schüz A (1991) Anatomy of the cortex: statistics and geometry. Springer, Berlin Heidelberg New York
Chatrian GE (1990) Coma, other states of altered responsiveness, and brain death. In: Daly DD, Pedley TA (eds) Current practice of clinical electroencephalography, 2nd edn. Raven Press, New York, pp 425–487
Cynader MS, Andersen RA, Bruce CJ, Humphrey DR, Mountcastle VB, Niki H, Palm G, Rizzolatti G, Strick P, Suga N, Seelen W von, Zeki S (1988) Group report: general principles of cortical operation. In: Rakic P, Singer W (eds) Neurobiology of neocortex. Wiley, Chichester, pp 353–371
Daly DD, Markand OM (1990) Focal brain lesions. In: Daly DD, Pedley TA (eds) Current practice of clinical electroencephalography, 2nd edn. Raven Press, New York, pp 335–370
Dodt HU, Pawelzik H, Zieglgansberger W (1991) Actions of noradrenaline on neocortical neurons in vitro. Brain Res 545:307–311
Elhanany E, White EL (1990) Corticocortical axon collaterals. J Comp Neurol 291:43–54
Freeman WJ (1987) Simulation of chaotic EEG patterns with a dynamic model of the olfactory system. Biol Cybern 56:139–150
Gilbert CD, Bourgeois J-P, Eckhorn R, Goldman-Rakic PS, Jones EG, Krüger J, Luhmann HJ, Lund JS, Orban GA, Prince DA, Sillito AM, Somogyi P, Toyoma K, Essern DC van (1988) Group report: neuronal and synaptic organization in the cortex. In: Rakic P, Singer W (eds) Neurobiology of neocortex. Wiley, Chichester, pp 219–240
Jansen BH, Zouridakis G, Brandt ME (1993) A neurophysiologically based mathematical model of flash visual evoked potentials. Biol Cybern 68:275–283
Kawashima T, Miyake A, Yamazaki T, Watanobe S, Shikita Y (1983) An analysis of the non-linearity of the visual evoked responses of the cats. J Physiol Soc Jpn 45:453
Larkman AU (1991) Dendritic morphology of pyramidal neurones of the visual cortex of the rat. III. Spine distributions. J Comp Neurol 306:332–343
Liu XB, Zheng ZH, Xi MC, Wu CP (1991) Distribution of synapses on an intracellularly labeled small pyramidal neuron in the cat motor cortex. Anat Embryol 184:313–318
Lopes da Silva FH, Hoek A, Smits H, Zetterberg LH (1974) Model of brain rhythmic activity: the alpha rhythm of the thalamus. Kybernetik 15:27–37
Lopes da Silva FH, Rotterdam A van, Barts P, Heusden E van, Burr W (1976) Model of neuronal populations: the basic mechanism of rhythmicity. Prog Brain Res 45:281–308
Martin JH (1985) Cortical neurons, the EEG, and the mechanisms of epilepsy. In: Kandel ER, Schwartz JH (eds) Principles of neural science, 2nd edn. Elsevier, Amsterdam, pp 636–647
McCormick AD, Pape HC, Williamson A (1991) Actions of norepinephrine in the cerebral cortex and thalamus: implications for function of the central noradrenergic system. Prog Brain Res 88:293–305
Nowicky AV, Christofi G, Bindman LJ (1992) Investigation of beta-adrenergic modulation of synaptic transmission and postsynaptic induction of associative LTP in layer V neurones in slices of rat sensorimotor cortex. Neurosci Lett 137:270–273
Pandya DN, Yeterian EH (1990) Prefrontal cortex in relation to other cortical areas in rhesus monkey: architecture and connections. Prog Brain Res 85:63–94
Rotterdam A van, Lopes da Silva FH, Ende J van der, Viergever MA, Hermans AJ (1982) A model of the spatial-temporal characteristics of the alpha rhythm. Bull Math Biol 44:283–305
Shibagaki M, Kiyono S, Kawashima T, Watanabe S (1985) Nonlinearity of VEPs in cerveau isolé and midpontine pretrigeminal cats. Electroencephalogr clin Neurophysiol 62:65–73
Tanibuchi I (1992) Electrophysiological and anatomical studies on thalamic medio-dorsal nucleus projections onto the prefrontal cortex in the cat. Brain Res 580:137–149
Watanabe S, Shikita S (1981) Stability of alpha rhythm. In: Yamaguchi N, Fujisawa K (eds) Recent advances in EEG and EMG data processing. Elsevier/North-Holland, Amsterdam, pp 87–94
White EL (1986) Terminations of thalamic afferents. In: Peters A, Jones EG (eds) The cerebral cortex vol 5, Sensory-motor areas and aspects of cortical connectivity. Plenum Press, New York, pp 271–289
White EL (1989) Cortical circuits. Birkhäuser, Boston
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Jansen, B.H., Rit, V.G. Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biol. Cybern. 73, 357–366 (1995). https://doi.org/10.1007/BF00199471
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DOI: https://doi.org/10.1007/BF00199471