Designing a planar vector field to investigate the role of a slow variable in an enhanced mean-field model during general anesthesia.Report as inadecuate




Designing a planar vector field to investigate the role of a slow variable in an enhanced mean-field model during general anesthesia. - Download this document for free, or read online. Document in PDF available to download.

* Corresponding author 1 LTSI - Laboratoire Traitement du Signal et de l-Image 2 BiSIPL - Biomedical Signal and Image Processing Laboratory Teheran 3 Service d-anesthésie réanimation chirurgicale

Abstract : Local mean-field models MFMs describe regional brain activities by some connected differential equations. In an overall view, constituting variables of these differential equations can be divided to very fast, fast and slow variables. In this article we propose a method that can be used to determine role of a slow variable in behavior of MFMs. Very fast variables can be adiabatically removed from the equations. Isoclines of fast and slow variables and their corresponding vector field can provide valuable information about model behavior and role of the slow variable in it. The vector field of our interested MFM that is an enhanced MFM designed specially for general anesthesia, is a 3D field one slow and two fast variables and it is not so convenient for visually inspecting the role of the slow variable in this model. To afford this problem we design a 2D planar vector filed that only considers the slow variable and one of the fast variables.

Keywords : mean-field models anesthesia EEG Brain activity





Author: Behnam Molaee-Ardekani - Mohammad-Bagher Shamsollahi - Lotfi Senhadji - Bijan Vosoughi-Vahdat - Eric Wodey -

Source: https://hal.archives-ouvertes.fr/



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