Finally voltage-clamped simulations arecarried out to determine their dynamic behaviors based on squid giant axon.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we investigate dynamics of voltage-gated ionic channels which are of great importance in integrating the information received by neurons.
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Key Findings & Data:Understanding of dynamical behavior of voltage-gated ionic channels plays a major role for determining underlying mechanism of spike activity and predicting the neuronal behavior.
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Conclusion & Impact:Finally voltage-clamped simulations arecarried out to determine their dynamic behaviors based on squid giant axon.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we investigate dynamics of voltage-gated ionic channels which are of great importance in integrating the information received by neurons. Understanding of dynamical behavior of voltage-gated ionic channels plays a major role for determining underlying mechanism of spike activity and predicting the neuronal behavior. Investigation is carried out based on Hodgkin-Huxley (H-H) mathematical formalism. Ionic channel gate model is discussed briefly. Relaxation phenomenon is studied in the gate variables. Then effects of temperature on dynamics of gate variables are examined. Finally voltage-clamped simulations arecarried out to determine their dynamic behaviors based on squid giant axon.
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Cite This Article
ÖZER, M., BAL, A. (2022). Function of voltage-gated ionic channels. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 4 - Sayı: 1, 1091–1104. https://ajindex.com/articles/543875
Hodgkin, A. L., Huxley, A. F., “A quantitative description of membrane conductance and its application to conductance and its application to conduction and excitation in nerve”, J. Physiol. (Lond.), Vol:117, pp.500-544, 1952
Guckenheimer, J., Labouriau, I. S., “Bifurcation of the Hodgkin and Huxley equations: A new twists”, Bull. Math. Biol., Vol:55, No:5, pp. 937-952, 1993
Aihara, K., Matsumoto, G., “Temporally coherent organization and instabilities in squid giant axons”, J. Theor. Biol., Vol: 95, pp. 697-720, 1982
De Schutter, E., “Alternative equations for the molluscan ion currents described by Connor and Stevens”, Brain Res., Vol: 382, pp. 134-138, 1986
De Schutter, E., Bower, J. M., “An active membrane model of the Purkinje cell: I. Simulation of current clamps in slice”, J. Neurophysiology, Vol:71, pp. 375-400, 1994
Sacchi, O., Belluzzi, O., Canella, R., Fesce, R., “A model of signal Processing at a mammalian sympathetic neurone”, J. Neurosci. Methods, Vol: 80, pp. 171-180, 1998
Ozer, M., “Analysis of time-course of the recovery from inactivation of ionic currents in cerebellar Purkinje cell”, Math. Comput. Appl., Vol:7, No:1, pp. 53-63, 2002
Clay, J. R., “Excitability of the squid giant axon revisited”, J. Neurophysiol., Vol:80, pp. 903-913, 1998
Holden, A. V., Yoda, M., “Ionic channel density of excitable membranes can act as a bifurcation parameter”, Biol. Cybern., Vol:42, pp. 29-38, 1981
Holden, A. V., Yoda, M., “The effects of ionic channel density on neuronal function”, J. Theoret. Neurobiol., Vol:1, pp. 60-81, 1981
Rinzel, J., Miller, R., “Numerical calculation of stable and unstable periodic solutions to the Hodgkin-Huxley equations”, Math. Biosci., Vol:49, pp.27-59, 1980
Aihara, K., Matsumoto, G., “Two stable steady states in the Hodgkin-Huxley axons”, Biophys. J., Vol:41, pp. 87-89, 1983
Laboriau, I. S., “Degenerate Hopf bifurcation and nerve impulse”, II. Siam J. Math. Anal., Vol:20, pp.1-12, 1989
Ozer, M., “Analysis of axonal response to sinusoidal stimulation based on squid giant axon, International Conference on Electrical and Electronics Engineering ELECO’2001, pp. 342-344, Bursa, Turkey, 7-11 November 2001
Salman, H., Soen, Y., Braun, E., “Voltage fluctuations and collective effects in ion-channel protein ensembles”, Phys. Rev. Lett., Vol:77, No:21, pp.4458-4461, 1996
Stuhmer, W., “Structure and function of sodium channels”, Cell. Phys. Biochem., V