Washout filter based control for the Hodgkin-Huxley nerve cell dynamics
نویسنده
چکیده
In this work we present a washout filter based control approach for stabilizing the oscillations in HodgkinHuxley 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.
منابع مشابه
A new circuit model for the Parameters in equations of low power Hodgkin-Huxley neuron cell
In this paper, α and β parameters and gating variables equations of Hodgkin-Huxley neuron cell have been studied. Gating variables show opening and closing rate of ion flow of calcium and potassium in neuron cell. Variable functions α and β, are exponential functions in terms of u potential that have been obtained by Hodgkin and Huxley experimentally to adjust the equations of neural cells. In ...
متن کاملMemristor Bridge Synapse Application for Integrate and Fire and Hodgkin-Huxley Neuron Cell
Memory resistor or memristor is already fabricated successfully using current nano dimension technology. Based on its unique hysteresis, the amount of resistance remains constant over time, controlled by the time, the amplitude, and the polarity of the applied voltage. The unique hysteretic current-voltage characteristic in the memristor causes this element to act as a non-volatile resistive me...
متن کاملGlobal Chaos Control of the FitzHugh-Nagumo Chaotic Neuron Model via Integral Sliding Mode Control
Chaos is an important applied area in nonlinear dynamical systems and it is applicable to many real-world systems including the biological systems. Nerve membranes are known to exhibit their own nonlinear dynamics which generate and propagate action potentials. Such nonlinear dynamics in nerve membranes can produce chaos in neurons and related bifurcations. In 1952, A.L. Hodgkin and A.F. Huxley...
متن کاملControl of the repetitive firing in the squid giant axon using electrical fields
In this research, the aim is to develop a repetitive firing stopper mechanism using electrical fields exerted on the fiber. The Hodgkin – Huxley nerve fiber model is used for modeling the membrane potential behavior. The repetitive firing of the nerve fiber can be stopped using approaches based on the control theory where the nonlinear Hodgkin – Huxley model is used to achieve this goal. The ef...
متن کاملEffects of ionic parameters on behavior of a skeletal muscle fiber model
All living cells have a membrane which separates inside the cell from it's outside. There is a potential difference between inside and outside of the cell. This potential difference will change during an action potential. It is quite common to peruse action potentials of skeletal muscle fibers with the Hodgkin-Huxley model. Since Hodgkin and Huxley summarized some controlling currents like inwa...
متن کامل