2008
DOI: 10.1007/s10867-008-9065-4
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Anesthetic-Induced Transitions by Propofol Modeled by Nonlocal Neural Populations Involving Two Neuron Types

Abstract: The present work derives the spatiotemporal field equation of neural populations considering two types of neurons. The model considers pyramidal cells, which may excite or inhibit other neurons, and GABAergic interneurons inhibiting terminal neurons. Additionally, taking into account excitatory and inhibitory synapses, the neural population obeys a vector-field equation involving nonlocal spatial interactions. The work studies the effect of the anesthetic agent propofol, which increases the decay time of inhib… Show more

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Cited by 8 publications
(4 citation statements)
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References 20 publications
(32 reference statements)
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“…Then a further increase of p causes the stationary excitatory firing activity to discontinuously jump to smaller values. In addition we observe a top, center and bottom solution branch, similar to previous studies (Steyn-Ross et al 2001a;Hutt and Schimansky-Geier 2008). Likewise, the single stationary solution (Fig.…”
Section: The Resting Statesupporting
confidence: 90%
See 1 more Smart Citation
“…Then a further increase of p causes the stationary excitatory firing activity to discontinuously jump to smaller values. In addition we observe a top, center and bottom solution branch, similar to previous studies (Steyn-Ross et al 2001a;Hutt and Schimansky-Geier 2008). Likewise, the single stationary solution (Fig.…”
Section: The Resting Statesupporting
confidence: 90%
“…The model extends previous standard neural field models of a single cell type by an additional cell population and the action of propofol on the neural field. In addition, it extends a previous model involving two cell types (Hutt and Schimansky-Geier 2008) by the a realistic model for the inhibitory action of anesthetic agents. Moreover, the model is rather simple due to its two field variables and two evolution equations compared to other models such as the Steyn-Ross-model (Steyn-Ross et al 2001a) with 12 field variables and 8 evolution equations.…”
Section: Discussionmentioning
confidence: 74%
“…Propofol on its own roughly maintains the α peak frequency with an anteriorization of power (decrease occipital, increase frontal), see Figure 1B; though an additional broadband “beta buzz” just above α frequencies, “biphasic” response dynamics and smooth transitions to lower frequencies can confound the picture (Schwender et al, 1996; Kuizenga et al, 1998, 2001; Feshchenko et al, 2004; Breshears et al, 2010; Cimenser et al, 2011). We assume here from previous theoretical studies (Liley et al, 2003; Hutt and Schimansky-Geier, 2008; Hutt and Longtin, 2010; Hindriks and van Putten, 2012) that these complications can be accounted for by mechanisms not considered in this work, in particular the prominent γ-aminobutyric acid type A (GABA A ) agonism of propofol that affects dominantly inhibitory postsynaptic currents (Kitamura et al, 2003). Furthermore, the acceleration due to ketamine observed by Hayashi et al (2007) and Tsuda et al (2007) that we wish to describe occurred on top of a clear α rhythm at steady propofol concentration, see Figure 1C.…”
Section: Introductionmentioning
confidence: 98%
“…The simulations of Hutt and SchimanskyGeier [15] are designed for the evaluation of the effects of anaesthetics such as propofol. Their neuronal population model includes excitatory and inhibitory synapses and thereby exhibits a bifurcation structure which can be related to the transitions from consciousness to non-consciousness.…”
mentioning
confidence: 99%