Washout filter based control for the Hodgkin-Huxley nerve cell dynamics

Date

2010-01-01

Author

Doruk, Resat Oezguer

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

182
views

0
downloads

In this work we present a washout filler based control approach for stabilizing the oscillations in Hodgkin-Huxley type neurons. The oscillations occur due to the bifurcations that arise from the potassium and sodium channel conductance deviations. The MATCONT toolbox software environment was used for analysis of the bifurcation points in conjunction with MATLAB. The simulations of the Hodgkin-Huxley (HH) model at those points are provided to validate the results obtained from, the MATCONT software. Then a washout filter is proposed to stabilize the oscillations occur at the Hopf bifurcation points where the external current injection is used to provide the control actuation. A second simulation set is provided to demonstrate the action of the washout filter.

Subject Keywords

Hopf Bifurcation, Saddle Bifurcation, Hodgkin-Huxley Equation, Potassium, Channel, Sodium Channel

URI

https://hdl.handle.net/11511/63816

Journal

TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES

DOI

https://doi.org/10.3906/elk-0904-20

Collections

Engineering, Article

Suggestions

OpenMETU
Core

Chatter Reduction in Turning by Using Piezoelectric Shunt Circuit Yiğit, Ufuk; Ciğeroğlu, Ender; Budak, Erhan (null; 2014-02-11) In this paper, the effect of piezoelectric shunt damping (PSD) on chatter vibrations in turning process is studied. Chatter is a self-excited type of vibration that develops during machining due to process-structure dynamic interactions resulting in modulated chip thickness. Chatter is an important problem, since it results in poor surface quality, reduced productivity and reduced tool life. The regenerative chatter results from phase differences between two subsequent passes of the cutting tool and occurs ...
THERMAL AND MASS DIFFUSIVITY FROM DYNAMIC SINGLE PELLET EXPERIMENTS DOGU, G; CABBAR, C; Doğu, Timur (Informa UK Limited, 1991-01-01) The single-pellet moment techniques previously developed for the evaluation of effective diffusion coefficient and effective thermal conductivity of a porous solid are combined and a procedure is proposed for the simultaneous evaluation of these constants from a single set of pulse response experiments. It is shown that both temperature and concentration response curves can be measured from a single pulse of oxygen injected into hydrogen carrier gas flowing past a catalyst pellet. It is shown that the zerot...
Model order reduction for pattern formation in reaction-diffusion systems Karasözen, Bülent; Küçükseyhan, Tuğba; Mülayim, Gülden (null; 2017-09-22) We compare three reduced order modelling (ROM) techniques: the proper orthogonal decomposition (POD), discrete empirical interpolation (DEIM) [2], and dynamical mode decomposition (DMD) [1] to reaction diusion equations in biology. The formation of patterns in reaction-diusion equations require highly accurate solutions in space and time and therefore require large computational time to reach the steady states. The three reduced order methods are applied to the diusive FitzHugh-Nagumo equation [3] and th...
Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models Yücel, Hamdullah; BENNER, Peter (2013-11-11) In this paper, convection-diffusion-reaction models with nonlinear reaction mechanisms, which are typical problems of chemical systems, are studied by using the upwind symmetric interior penalty Galerkin (SIPG) method. The local spurious oscillations are minimized by adding an artificial viscosity diffusion term to the original equations. A discontinuity sensor is used to detect the layers where unphysical oscillations occur. Finally, the proposed method is tested on various single- and multi-component prob...
Regional Image Reconstruction with Optimum Currents for MREIT - Evaluation on Shepp-Logan Conductivity Phantom Eyüboğlu, Behçet Murat; Altunel, Haluk (2008-11-27) In this study, an image reconstruction algorithm for magnetic resonance electrical impedance tomography (MREIT) is proposed to achieve maximum benefit of optimum current injection patterns. By doing so, considerable reduction in probing current amplitude could be possible. In the proposed algorithm, field of view (FOV) is divided into a number of segments. Image of each segment is reconstructed separately, based on measurements obtained using the best (optimum) current patterns, which maximize distinguishab...

Citation Formats

R. O. Doruk, “Washout filter based control for the Hodgkin-Huxley nerve cell dynamics,” TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, pp. 553–570, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63816.