Biopolym. Cell. 1997; 13(2):135-141.
Structure and Function of Biopolymers
Self-regulation in ion channels of biological membranes
- Yerevan State University
1 Alex Manoogian, Yerevan, Republic of Armenia, 0025 - Institute of Physics, NAS of Ukraine
46, Prospect Nauki, Kyiv, Ukraine, 03028
Abstract
We develop a theoretical approach that allows to model processes of both potential and concentrational dependencies of ion channel parameters. Two variants are possible: discrete and continuous approaches. The first one is simplier in applications and desribes a set of experimental effects and allows to give in a natural form physical grounds for potential sensitivity of ion channel. In this case we don't need a term of voltage sensor, a special structure which directly «feels» the membrane voltage. The continuous approach is more general and describes all effects described by discrete approach but it is more complicated for using. This approach we have to use for description of effects that are caused by deformations of the conformational states including so drastic phenomena such as a changing of the number of channel conductivity states.
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References
[1]
Hille B. Ionic channels of excitable membranes. Washington: Sinauer Associates inc., 1992: 607.
[3]
Demchenko AP, Kositsky NN, Teslenko VI. The influence of dynamics of ionic channel protein on its selectivity function. Biophys Chem. 1990;35(1):25-35.
[4]
Warshel A, Aqvist J. Electrostatic energy and macromolecular function. Annu Rev Biophys Biophys Chem. 1991;20:267-98.
[5]
Partenskii MB, Jordan PC. Theoretical perspectives on ion-channel electrostatics: continuum and microscopic approaches. Q Rev Biophys. 1992;25(4):477-510.
[6]
Jordan PC. Interactions of ions with membrane proteins. Thermodynamics of membrane receptors and channels. Ed. M. B. Jackson-Boston: CRC press, 1993: 27-80.
[7]
Shuba YM, Teslenko VI, Savchenko AN, Pogorelaya NH. The effect of permeant ions on single calcium channel activation in mouse neuroblastoma cells: ion-channel interaction. J Physiol. 1991;443:25-44.
[8]
White PJ, Smahel M, Thiel G. Characterization of ion channels from Acetabularia plasma membrane in planar lipid bilayers. J Membr Biol. 1993;133(2):145-60.
[9]
Logothetis DE, Kammen BF, Lindpaintner K, Bisbas D, Nadal-Ginard B. Gating charge differences between two voltage-gated K+ channels are due to the specific charge content of their respective S4 regions. Neuron. 1993;10(6):1121-9.
[10]
Schagina LV, Grinfeldt AE, Lev AA. Concentration dependence of bidirectional flux ratio as a characteristic of transmembrane ion transporting mechanism. J Membrain Biol. 1983;73(3):203–16.
[11]
Magura IS, Zachar J, Prevarskaya NB. Interaction of sodium ions with potassium channels of mollusc neuronal somatic membrane. Gen Physiol Biophys. 1985;4(1):93-5.
[12]
Zilbert YuI, Burnashev NA, Papin AA, Khodorov BI. The interaction of potassium ions with the portal structures of ATP-sensitive potassium channels of myocardial cells. Biologicheskie Membrany. 1987; 4(7): 738-46.
[13]
Fahlke C, Ruppersberg JP. Saturation effects and rectifier properties of sodium channels in human skeletal muscle. Eur Biophys J. 1988;16(5):307-12.
[14]
Kononenko NI, Shcherbatko AD. [The effect of calcium ions on the deactivation of the calcium current in nerve cells of Helix pomatia]. Dokl Akad Nauk SSSR. 1989;305(4):993-7.
[15]
Tseeb VE, Geletyuk VI, Kozachenko VN, Ilyasov Fe. Relationship fast K + channel Activity and current magnitude through it. Biologicheskie Membrany. 1992; 9(5): 518-27.
[16]
Gardiner C. W. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences. 2d ed. Springer-Verlag, 1985. 442 p.
[17]
Chizmadzhev YuA, Aityan SKh. Selective ion transport through the biological membranes channels. Itogi Nauki I Tekhiniki. M.: VINITI (Ser Biofizika Membran Vol 2), 1982:6-81.
[18]
Eyring H, Urry DW. Thermodynamics and chemical kinetics. In: Theoretical and Mathematical Biology. Eds Waterman T. and Morowitz H. Blaisdell Publishing Co., 1965, 448 p.
[19]
Haken H. Synergetics. Russian edution M.: Mir, 1980.
[20]
Hodgkin AL, Huxley AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952;117(4):500-44.
[21]
Chinarov VA, Gaididei YB, Kharkyanen VN, Sit'ko SP. Ion pores in biological membranes as self-organized bistable systems. Phys Rev A. 1992;46(8):5232-5241.
[22]
Weinreb GE. Effects of ion-conformational interaction in biomembrane channels. Phys Alive. 1994; 2: 26-34.
[23]
Kharkyanen VN, Panchouk AS, Weinreb GE. Self-organization effects induced by ion-conformational interaction in biomembrane channels. J Biol Phys. 1994;19(4):259–72.
[24]
Va?nreb GE, Kharkianen VN. [A new phenomenon induced by ion conformational interaction in biomembrane channels]. Biofizika. 1995;40(1):86-94.
[25]
Grishchenko AV, Berezetskaya NM, Weinreb GE, Kononenko NI, Sedova MB. Influence of the external concentration of potassium ions on functioning of voltage-dependent potassium channels in GH3 cells. Neurophysiology. 1995;27(2):85–9.
[26]
L?uger P, Stephan W, Frehland E. Fluctuations of barrier structure in ionic channels. Biochim Biophys Acta. 1980;602(1):167-80.
[27]
L?uger P. Conformational Transitions of Ionic Channels. Single-Channel Recording. Springer US; 1983;177–89.