Nonlinear theory for ionic transport through track-etched nuclear membranes

Journal of Membrane Science

Volumn 121, Issue 2, 1996, Pages 261-269

  Grzywna, Zbigniew J ^a   Siwy, Zuzanna ^a   Bashford, C Lindsay ^b  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

^b ST GEORGE'S UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Current fluctuation; Nonlinear theory; Track etched nuclear membranes

Indexed keywords

POTASSIUM ION;

ARTICLE; CELL NUCLEUS MEMBRANE; ION TRANSPORT; MEMBRANE MODEL; NONLINEAR SYSTEM; POTASSIUM CURRENT; PRIORITY JOURNAL;

ETCHING; GRAPHIC METHODS; IONS; MECHANICAL PERMEABILITY; POLYETHYLENE TEREPHTHALATES; TRANSPORT PROPERTIES;

IONIC TRANSPORT; LOGISTIC MAP; NONLINEAR THEORY; TRACK-ETCHED NUCLEAR MEMBRANES;

POLYMERIC MEMBRANES;

MEMBRANES; TRANSPORT;

EID: 0030580458     PISSN: 03767388     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0376-7388(96)00188-3     Document Type: Article

References (15)

1. [1] P. Meares and K.R. Page, Rapid force-flux transitions in highly porous membranes, Proc. R. Soc. 272, A (1972) 1219.
2. [2] W. Starosta and M. Buczkowski (eds.), Particle Track Membranes and Their Applications, Proceedings of the 2nd Meeting, 2-6 December 1991, Szczyrk. LODART, Łódz. 1992.
3. [3] C.A. Pasternak, C.L. Bashford, Y.E. Korchev, T.K. Rostovstseva and A.A. Lev. Modulation of surface flow by divalent cations and protons. Colloids Surfaces A. 77 (1993) 119.
4. [4] B. Sakmann and E. Neher (eds.), Single Channel Recording, Plenum, New York, NY, 1993.
5. [5] B. Hille, Ionic Channels of Excitable Membranes, Sinauer Associates Inc., Sunderland, MA, 1992.
6. [6] Lakshminarayanaiah, Transport Phenomena in Membranes, Academic Press, New York, NY, 1969.
7. [7] A.A. Lev, Y.E. Korchev, T.K. Rostovtseva, C.L. Bashford, D.T. Edmonds and C.A. Pasternak, Rapid switching of ion current in narrow pores: implications for biological ion channels, Proc. R. Soc. London, B, 252 (1993) 187.
8. [8] L.S. Liebovitch and T.I. Toth, A model of ion channel kinetics using deterministic chaotic rather than stochastic processes, J. Theor. Biol., 148 (1991) 243.
9. [9] S. Wiggins, Global Bifurcations and Chaos, Springer Verlag, New York, NY, 1988
10. [10] S.H. White and R.E. Jacobs, Observations concerning topology and locations of helix ends of membrane proteins of known structure, J. Membranes Biol., 115 (1990) 145.
11. [11] Z.J. Grzywna and Z. Siwy, Chaos in ionic transport through membrane, Int. J. Bifurcation Chaos, in press.
12. [12] C.J. Kerry, R.L. Ramsey, M.S.P. Sansom and P.N.R. Usherwood, Glutamate receptor channel kinetics: the effect of glutamate concentration, Biophys. J., 53 (1988) 39.
13. [13] H. Poincare, Les Methodes Nouvelles de la Mecanique Celeste, 3 Vols., Gauthier-Villars, Paris, 1899.
14. [14] L.S. Liebovitch and T.I. Toth, Fractal activity in cell membrane ion channels, Ann. N.Y. Acad. Sci., 591 (1990) 375.
15. [15] W.E. Boyce and R.C. DoPrima, Elementary Differential Equations and Boundary Value Problems, Wiley, New York, NY. 1977.