Abstract
A successful functioning of cellular systems requires that some molecules and ions be transferred out of the cell while other particles should be taken in. The bidirectional flux is accomplished with the help of a complex system of membrane protein channels and pores [1, 2]. It is known that molecular transport across cellular membranes is fast, efficient, selective, and that the functioning of channels is robust with respect to strong nonequilibrium fluctuations in the cellular environment [2]. These observations are especially surprising because in many cases molecular translocation does not involve the use of metabolic energy or significant conformational changes [4]. Although in recent years significant advances in studying molecular transport in biological systems have been achieved, the mechanisms of translocation phenomena are still not well understood.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lodish, H., Berk, A., Zipursky, S.L., Matsudaira, P., Baltimore, D., Darnell, J.: Molecular Cell Biology, 4th edn. W.H. Freeman and Company, New York (2002)
Hille, B.: Ionic Channels of Excitable Membranes, 3rd edn. Sinauer Associates, Sunderland Massachusetts (2001)
Nekolla, S., Andersen, C., Benz, R.: Noise analysis of ion current through the open and the sugar-induced closed state of the LamB channel of Escherichia coli outer membrane: evaluation of the sugar binding kinetics to the channel interior. Biophys. J. 66, 1388–1397 (1994)
Wickner, W., Schekman, R.: Protein translocation across biological membranes. Science 310, 1452–1456 (2005)
Hilty, C., Winterhalter, M.: Facilitated substrate transport through membrane proteins. Phys. Rev. Lett. 86, 5624–5627 (2001)
Kullman, L., Winterhalter, M., Bezrukov, S.M.: Transport of maltodextrins through maltoporin: a single-channel study. Biophys. J. 82, 803–812 (2002)
Nestorovich, E.M., Danelon, C., Winterhalter, M., Bezrukov, S.M.: Designed to penetrate: time-resolved interactions of single antibiotic molecules with bacterial pores. Proc. Natl. Acad. Sci. USA 99, 9789–9794 (2002)
Danelon, C., Brando, T. Winterhalter, M.: Probing the orientation of reconstituted maltoporin channels at the single-protein level. J. Biol. Chem. 278, 35542–35551 (2003)
Schwarz, G., Danelon, C., Winterhalter, M.: On translocation through a membrane channel via an internal binding site: kinetics and voltage dependence. Biophys. J. 84, 2990–2998 (2004)
Krasilnikov, O.V., Rodrigues, C.G., Bezrukov, S.M.: Single polymer molecules in a protein nanopore in the limit of a strong polymer-pore attraction. Phys. Rev. Lett. 97, 018301 (2006)
Caspi, Y., Zbaida, D., Elbaum, M.: Synthetic mimic of selective transport through the nuclear pore complex. Nano Lett. 8, 3728–3734 (2008)
Karginov, V.A., Nestorovich, E.M., Moayeri, M., Leppla, S.H., Bezrukov, S.M.: Blocking anthrax lethal toxin at the protective antigen channel by using structure-inspired drug design. Proc. Natl. Acad. Sci. USA 102, 15075–15080 (2005)
Kohli, P., Harrell, C.C., Cao, Z., Gasparac, R., Tan, W., Martin, C.R.: DNA-functionalized nanotube membranes with single-base mismatch selectivity. Science 305, 984–986 (2004)
Wolfe, A.J., Mohammad, M.M., Cheley, S., Bayley, H., Movileanu, L.: Catalyzing the translocation of polypeptides through attractive interactions. J. Am. Chem. Soc. 129, 14034–14041 (2007)
Mohammad, M.M., Prakash, S., Matouschek, A., Movileanu, L.: Controlling a single protein in a nanopore through electrostatic traps. J. Am. Chem. Soc. 130, 4081–4088 (2008)
Niedzwiecki, D.J., Grazul, J., Movileanu, L.: Single-molecule observation of protein adsorption onto an inorganic surface. J. Am. Chem. Soc. 132, 10816–10822 (2010)
Gillespie, D., Boda, D., He, Y., Apel, P., Siwy, Z.S.: Synthetic nanopores as a test case for ion channel theories: the anomalous mole fraction effect without single filing. Biophys. J. 95, 609–619 (2008)
Jensen, M.O., Park, S., Tajkhorshid, E., Schulten, K.: Energetics of glycerol conduction through aquaglyceroporin GlpF. Proc. Natl. Acad. Sci. USA 99, 6731–6736 (2002)
de Groot, B.L., Grubmüller, H.: Water permeation across biological membranes: mechanism and dynamics of Aquaporin-1 and GlpF. Science 294, 2353–2357 (2001)
Chou, T.: How fast do fluids squeeze through microscopic single-file pores? Phys. Rev. Lett. 80, 85–88 (1998)
Chou, T.: Kinetics and thermodynamics across single-file pores: solute permeability and rectified osmosis. J. Chem. Phys. 110, 606–615 (1999)
Berezhkovskii, A.M., Pustovoit, M.A., Bezrukov, S.M.: Channel-facilitated membrane transport: transit probability and interaction. J. Chem. Phys. 116, 9952–9956 (2002)
Berezhkovskii, A.M., Pustovoit, M.A., Bezrukov, S.M.: Channel-facilitated membrane transport: average lifetimes in the channel. J. Chem. Phys. 119, 3943–3951 (2003)
Berezhkovskii, A.M., Bezrukov, S.M.: Channel-facilitated membrane transport: constructive role of particle attraction to the channel pore. Chem. Phys. 319, 342–349 (2005)
Berezhkovskii, A.M., Bezrukov, S.M.: Optimizing transport of metabolites through large channels: molecular sieves with and without binding. Biophys. J. 88, L17–L19 (2005)
Bezrukov, S.M., Berezhkovskii, A.M., Szabo, A.: Diffusion model of solute dynamics in a membrane channel: mapping onto the two-site model and optimizing the flux. J. Chem. Phys. 127, 115101 (2007)
Berezhkovskii, A.M., Pustovoit, M.A., Bezrukov, S.M.: Fluxes of non-interacting and strongly repelling particles through a single conical channel: analytical results and their numerical tests. Chem. Phys. 375, 523–528 (2010)
Kolomeisky, A.B.: Channel-facilitated molecular transport across membranes: attraction, repulsion and asymmetry. Phys.Rev. Lett. 98, 048105 (2007)
Kolomeisky, A.B., Kotsev, S.: Effect of interactions on molecular fluxes and fluctuations in the transport across membrane channels. J. Chem. Phys. 128, 085101 (2008)
Zilman, A.: Effects of multiple occupancy and interparticle interactions on selective transport through narrow channels: theory versus experiment. Biophys. J. 96, 1235–1248 (2009)
Zilman, A., Pearson, J., Bel, G.: Effects of jamming on nonequilibrium transport times in nanochannels. Phys. Rev. Lett. 103, 128103 (2009)
Kolomeisky, A.B., Slonkina, E.: Polymer translocation through a long nanopore. J. Chem. Phys. 118, 7112–7118 (2003)
Kolomeisky, A.B., Fisher, M.E.: Molecular motors: a theorists’s perspective. Ann. Rev. Phys. Chem. 58, 675–695 (2007)
Chacinska, A., Pfanner, N., Meisinger, C.: How mitochondria import hydrophilic and hydrophobic proteins. Trends Cell Biol. 12, 299–303 (2002)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Kolomeisky, A.B. (2012). Theoretical Analysis of Molecular Transport Across Membrane Channels and Nanopores. In: Dokholyan, N. (eds) Computational Modeling of Biological Systems. Biological and Medical Physics, Biomedical Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-2146-7_12
Download citation
DOI: https://doi.org/10.1007/978-1-4614-2146-7_12
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-2145-0
Online ISBN: 978-1-4614-2146-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)