International Journal of Control, Automation, and Systems

  • 제2권1호
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  • Pages.23-38
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  • 2004
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  • 1598-6446(pISSN)
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  • 2005-4092(eISSN)
제어로봇시스템학회 (Institute of Control, Robotics and Systems)
권호 표지

Application of the H Infinity Control Principle to the Sodium Ion Selective Gating Channel on Biological Excitable Membranes

  • 발행 : 2004.03.01
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초록

We proposed the infinity control principle to evaluate the Biological function. The H infinity control was applied to the Sodium (Na) ion selective gating channel on the excitable cellular membrane of the neural system. The channel opening, closing and inactivation processes were expressed by movements of three gates and one inactivation blocking particle in the channel pore. The rate constants of the channel state transition were set to be voltage dependent. The temporal changes in amounts per unit membrane area of the channel states were expressed by means of eight differential equations. The biochemical mimetic used to complete the Na ion selective channel was regarded as noise. The control inputs for ejecting the blocking particle with plugging in the channel pore were set for the active transition from inactivated states to a closed or open state. By applying the H infinity control, we computed temporal changes in the channel states, observers, control inputs and the worst case noises. The present paper will be available for evaluating the noise filtering function of the biological signal transmission system.

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참고문헌

  1. Biochemistry L. Stryer
  2. J. Physiology v.117 Quantitative description of membrane current and its application to conductance and excitation in nerve A. L Hodgkin;A. F. Huxley
  3. Biophysical J. v.60 A sodium channel gating model based on single channel macroscopic ionic and gating currents in the squid giant axon C. A. Vandenberg;F. Bezanilla https://doi.org/10.1016/S0006-3495(91)82186-5
  4. Physiological Rev. v.71 no.4 Activation kinetics of sodium channels J. Patlak
  5. Physiological. Rev. v.61 Sodium channels and gating currents C. M. Armstrong https://doi.org/10.1152/physrev.1981.61.3.644
  6. J. Gen. Physiology v.70 Inactivation of the sodium channel II Gating current experiments C. M. Armstron;F. Bezanilla https://doi.org/10.1085/jgp.70.5.567
  7. Artificial Life and Robotics v.2 Optimal control of active transport across a biological membrane H. Hirayama https://doi.org/10.1007/BF02471150
  8. Essentials of Robust Control K. M. Zhou;J. C. Doyle
  9. Nature Lond. v.312 Primarily structure of electrophorus electricus sodium channel deduced from cDNA sequence M. Noda(et al.) https://doi.org/10.1038/312121a0
  10. Monovalent Cations in Biological System, CRC, 19909 Models of Voltage and Transmitter Activated Membrane Channel H. Guy;Pasternark(ed.)
  11. Eur Biophys. J. v.17 A reinterpretation of Na channel gating K. Benndorf
  12. J. Gen. Physiology v.96 Inactivation of cloned Na channels expressed in Xenopus oo-cytes D. Krafte;A. L. Goldin;V. J. Auld;R. J. Dunn;N. Davidson;H. A. Lester https://doi.org/10.1085/jgp.96.4.689
  13. J General Physiology v.106 Voltage-dependent open-state inactivation of cardiac sodium channels M. F. Sheets;D. A. Hanck https://doi.org/10.1085/jgp.106.4.617
  14. Proc. Roy Spciety B v.243 On the voltage dependence of inactivation in the sodium channel of the squid gigant axon R. D. Keynes https://doi.org/10.1098/rspb.1991.0008
  15. Nature v.291 Sodium channels need not open before they inactivate R. Horn;J. Patlak;C. F. Stevens https://doi.org/10.1038/291426a0
  16. J. Gen. Physiology v.79 The effect of N-bromacetamide on sinhie sodium channel currents in escised membrane patches J. Patlak;R. Horn https://doi.org/10.1085/jgp.79.3.333
  17. Prog Biophysc. Mol. Biol. v.33 Inactivation of the sodium permeability in squid giant nerve fibers H. Meves;W. Vogel
  18. Ann. Rev. Biophysc. Bioeng. v.12 Sodium channel gating models mimic and modifiers R. J. Frenc;R. Horn https://doi.org/10.1146/annurev.bb.12.060183.001535
  19. J. Gen. Physiology v.106 A molecular link between activation and inactivation of sodium channel M. E. O'Leart;Li-Q. Chen;R. G. Kallen;R. Horn https://doi.org/10.1085/jgp.106.4.641
  20. J. Gen. Physilogy v.84 Statistical properrties of single sodium channels R. Horn;C. A. Venderberg https://doi.org/10.1085/jgp.84.4.505
  21. Artificial Life and Robotics v.5 no.2 H2 Control strategy for Na ion channels on the neural cellular membrane H. Hirayama