LettersNo Access

NOISE AND CORRELATED TRANSPORT IN ION CHANNELS

H. HAKEN

Institute for Theoretical Physics I, Center of Synergetics, University of Stuttgart, 70550 Stuttgart, Germany

https://doi.org/10.1142/S021947750400177XCited by:2 (Source: Crossref)

Abstract

The motion of an ion through a channel is described as a classical/quantum mechanical hopping process between the individual sites of a channel. The transition rates are due to the coupling of an ion to suitable reservoirs. If fluctuating forces are added to the rate equations for the occupation numbers, the equations become quantum mechanical operator equations. Using previous results, the fluctuating forces are uniquely determined by the requirement of quantum mechanical consistency. The resulting equations are solved for several cases and the occupation number fluctuations discussed. Particular emphasis is laid on a model of correlated transport.

Keywords:

References

D. Russell, L. Wilkens and F. Moss, Nature 402, 219 (1999). Google Scholar
F. Moss, Handbook of Brain Theory and Neural Networks, 2nd edn., ed. M. A. Arbib (MIT Press, Cambridge, 2001) pp. 1112–1116. Google Scholar
G. Balazsi, L. B. Kish and F. Moss, Chaos 11, 563 (2001), DOI: 10.1063/1.1379042. Crossref, Web of Science, Google Scholar
P. Arhem , C. Blomberg and H. Liljenström (eds.) , Disorder Versus Order in Brain Function ( World Scientific , Singapore , 2000 ) . Crossref, Google Scholar
B. Hille , Ionic Channels of Excitable Membranes , 3rd edn. ( Sinauer Associates , Sunderland, MA , 2001 ) . Google Scholar
M. E. Davis and J. A. McCammon, Chem. Rev. 90, 509 (1995), DOI: 10.1021/cr00101a005. Crossref, Web of Science, Google Scholar
B. Honig and A. Nicholls, Science 268, 1144 (1995), DOI: 10.1126/science.7761829. Crossref, Web of Science, Google Scholar
D. F. Evans and H. Wennerström , The Colloidal Domain , 2nd edn. ( Wiley-VCH , New York , 1999 ) . Google Scholar
D. G. Levitt, Ann. Rev. Biophys. Biophys. Chem. 15, 29 (1986), DOI: 10.1146/annurev.bb.15.060186.000333. Crossref, Google Scholar
R. S. Eisenberg, J. Membr. Biol. 171, 1 (1999), DOI: 10.1007/s002329900554. Crossref, Web of Science, Google Scholar
G. Moyet al., Biophys. J. 78, 2349 (2000), DOI: 10.1016/S0006-3495(00)76780-4. Crossref, Web of Science, Google Scholar
B. Corry, S. Kuyucak and S. H. Chung, Biophys. J. 78, 2364 (2000), DOI: 10.1016/S0006-3495(00)76781-6. Crossref, Web of Science, Google Scholar
P. Grafet al., J. Phys. Chem. B. 104, 12324 (2000), DOI: 10.1021/jp001282s. Crossref, Web of Science, Google Scholar
K. E. Cooper, E. Jakobsson and P. Wolynes, Prog. Biophys. Mol. Biol. 46, 51 (1985), DOI: 10.1016/0079-6107(85)90012-4. Crossref, Web of Science, Google Scholar
S. Kuyucak, O. S. Andersen and S. H. Chung, Rep. Prog. Phys. 64, 1427 (2001), DOI: 10.1088/0034-4885/64/11/202. Crossref, Web of Science, Google Scholar
S. Kuyucak and T. Bartug, J. Biol. Physics 29, 429 (2003), DOI: 10.1023/A:1027309113522. Crossref, Web of Science, Google Scholar
B. Roux and M. Karplus, Ann. Rev. Biophys. Biomol. Struct. 23, 731 (1994), DOI: 10.1146/annurev.bb.23.060194.003503. Crossref, Web of Science, Google Scholar
D. P. Tielemanet al., Q. Rev. Biophys. 34, 473 (2001). Crossref, Web of Science, Google Scholar
B. Roux, Curr. Opin. Struct. Biol. 12, 182 (2002), DOI: 10.1016/S0959-440X(02)00307-X. Crossref, Web of Science, Google Scholar
H. Haken , Encyclopedia of Physics ( Springer , Berlin , 1970 ) . Google Scholar