101
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Farina F, Pierobon P, Delevoye C, Monnet J, Dingli F, Loew D, Quanz M, Dutreix M, Cappello G. Kinesin KIFC1 actively transports bare double-stranded DNA. Nucleic Acids Res 2013; 41:4926-37. [PMID: 23543461 PMCID: PMC3643607 DOI: 10.1093/nar/gkt204] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023] Open
Abstract
During the past years, exogenous DNA molecules have been used in gene and molecular therapy. At present, it is not known how these DNA molecules reach the cell nucleus. We used an in cell single-molecule approach to observe the motion of exogenous short DNA molecules in the cytoplasm of eukaryotic cells. Our observations suggest an active transport of the DNA along the cytoskeleton filaments. We used an in vitro motility assay, in which the motion of single-DNA molecules along cytoskeleton filaments in cell extracts is monitored; we demonstrate that microtubule-associated motors are involved in this transport. Precipitation of DNA-bound proteins and mass spectrometry analyses reveal the preferential binding of the kinesin KIFC1 on DNA. Cell extract depletion of kinesin KIFC1 significantly decreases DNA motion, confirming the active implication of this molecular motor in the intracellular DNA transport.
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Affiliation(s)
- Francesca Farina
- Physico-Chimie-Curie/UMR168 Institut Curie, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, 75231 Paris, France
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102
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Tagliazucchi M, Peleg O, Kröger M, Rabin Y, Szleifer I. Effect of charge, hydrophobicity, and sequence of nucleoporins on the translocation of model particles through the nuclear pore complex. Proc Natl Acad Sci U S A 2013; 110:3363-8. [PMID: 23404701 PMCID: PMC3587244 DOI: 10.1073/pnas.1212909110] [Citation(s) in RCA: 114] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The molecular structure of the yeast nuclear pore complex (NPC) and the translocation of model particles have been studied with a molecular theory that accounts for the geometry of the pore and the sequence and anchoring position of the unfolded domains of the nucleoporin proteins (the FG-Nups), which control selective transport through the pore. The theory explicitly models the electrostatic, hydrophobic, steric, conformational, and acid-base properties of the FG-Nups. The electrostatic potential within the pore, which arises from the specific charge distribution of the FG-Nups, is predicted to be negative close to pore walls and positive along the pore axis. The positive electrostatic potential facilitates the translocation of negatively charged particles, and the free energy barrier for translocation decreases for increasing particle hydrophobicity. These results agree with the experimental observation that transport receptors that form complexes with hydrophilic/neutral or positively charged proteins to transport them through the NPC are both hydrophobic and strongly negatively charged. The molecular theory shows that the effects of electrostatic and hydrophobic interactions on the translocating potential are cooperative and nonequivalent due to the interaction-dependent reorganization of the FG-Nups in the presence of the translocating particle. The combination of electrostatic and hydrophobic interactions can give rise to complex translocation potentials displaying a combination of wells and barriers, in contrast to the simple barrier potential observed for a hydrophilic/neutral translocating particle. This work demonstrates the importance of explicitly considering the amino acid sequence and hydrophobic, electrostatic, and steric interactions in understanding the translocation through the NPC.
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Affiliation(s)
- Mario Tagliazucchi
- Department of Biomedical Engineering, Department of Chemistry, and Chemistry of Life Processes Institute, Northwestern University, Evanston, IL 60208
| | - Orit Peleg
- Institute for Neuroinformatics, University of Zurich and Eidgenössische Technische Hochschule Zurich, 8057 Zurich, Switzerland
| | - Martin Kröger
- Polymer Physics, Department of Materials, Eidgenössische Technische Hochschule Zurich, 8093 Zurich, Switzerland; and
| | - Yitzhak Rabin
- Department of Physics and Institute for Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel
| | - Igal Szleifer
- Department of Biomedical Engineering, Department of Chemistry, and Chemistry of Life Processes Institute, Northwestern University, Evanston, IL 60208
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103
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Hörner S, Fabritz S, Herce HD, Avrutina O, Dietz C, Stark RW, Cardoso MC, Kolmar H. Cube-octameric silsesquioxane-mediated cargo peptide delivery into living cancer cells. Org Biomol Chem 2013; 11:2258-65. [DOI: 10.1039/c2ob26808f] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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104
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Abstract
Nuclear pore complexes (NPCs) control the traffic between cell nucleus and cytoplasm. While facilitating translocation of nuclear transport receptors (NTRs) and NTR·cargo complexes, they suppress passive passage of macromolecules ⩾30 kDa. Previously, we reconstituted the NPC barrier as hydrogels comprising S. cerevisiae FG domains. We now studied FG domains from 10 Xenopus nucleoporins and found that all of them form hydrogels. Related domains with low FG motif density also substantially contribute to the NPC's hydrogel mass. We characterized all these hydrogels and observed the strictest sieving effect for the Nup98-derived hydrogel. It fully blocks entry of GFP-sized inert objects, permits facilitated entry of the small NTR NTF2, but arrests importin β-type NTRs at its surface. O-GlcNAc modification of the Nup98 FG domain prevented this arrest and allowed also large NTR·cargo complexes to enter. Solid-state NMR spectroscopy revealed that the O-GlcNAc-modified Nup98 gel lacks amyloid-like β-structures that dominate the rigid regions in the S. cerevisiae Nsp1 FG hydrogel. This suggests that FG hydrogels can assemble through different structural principles and yet acquire the same NPC-like permeability. The phenylalanine-glycine (FG) domains of vertebrate nucleoporins assemble into hydrogels with different sieving characteristics for macromolecules. Nup98 forms the tightest filter, which is relieved by O-linked glycosylation.
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105
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Studying genomic processes at the single-molecule level: introducing the tools and applications. Nat Rev Genet 2012; 14:9-22. [DOI: 10.1038/nrg3316] [Citation(s) in RCA: 66] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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106
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The permeability of reconstituted nuclear pores provides direct evidence for the selective phase model. Cell 2012; 150:738-51. [PMID: 22901806 DOI: 10.1016/j.cell.2012.07.019] [Citation(s) in RCA: 221] [Impact Index Per Article: 18.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/24/2012] [Revised: 04/05/2012] [Accepted: 06/05/2012] [Indexed: 11/20/2022]
Abstract
Nuclear pore complexes (NPCs) maintain a permeability barrier between the nucleus and the cytoplasm through FG-repeat-containing nucleoporins (Nups). We previously proposed a "selective phase model" in which the FG repeats interact with one another to form a sieve-like barrier that can be locally disrupted by the binding of nuclear transport receptors (NTRs), but not by inert macromolecules, allowing selective passage of NTRs and associated cargo. Here, we provide direct evidence for this model in a physiological context. By using NPCs reconstituted from Xenopus laevis egg extracts, we show that Nup98 is essential for maintaining the permeability barrier. Specifically, the multivalent cohesion between FG repeats is required, including cohesive FG repeats close to the anchorage point to the NPC scaffold. Our data exclude alternative models that are based solely on an interaction between the FG repeats and NTRs and indicate that the barrier is formed by a sieve-like FG hydrogel.
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107
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Han JJ, Kiss C, Bradbury ARM, Werner JH. Time-resolved, confocal single-molecule tracking of individual organic dyes and fluorescent proteins in three dimensions. ACS NANO 2012; 6:8922-32. [PMID: 22957739 DOI: 10.1021/nn302912j] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
We demonstrate following individual fluorescent protein constructs and individual organic dyes as they diffuse in 3-D in solution at rates up to 1 μm(2)/s over distances of several micrometers in X, Y, and Z. Our 3-D tracking method is essentially a stage scanning confocal microscope that uses a unique spatial filter geometry and active feedback 200 times/s to follow fast 3-D motion. Here we detail simulations used to find optimal feedback parameters for following individual fluorescent proteins in 3-D and show that a wide range of parameters are capable of following individual proteins diffusing at 1 μm(2)/s rates. In addition, we experimentally show that through 3-D single-molecule tracking of a protein oligomer series (monomer, dimer, and tetramer) of the fluorescent protein Azami Green one can determine the protein oligomerization state. We also perform time-resolved spectroscopy (photon pair correlation measurements) during the measured 3-D trajectories. The photon pair correlation measurements show clear fluorescence photon antibunching, demonstrating that the trajectories are of single fluorescent molecules. We note that the rates of single-molecule diffusive motion we follow (approximately 1 μm(2)/s) are comparable to or faster than many intracellular transport processes.
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Affiliation(s)
- Jason J Han
- Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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108
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Abstract
Nuclear pore complexes (NPCs) are gateways for nucleocytoplasmic exchange. Intrinsically disordered nucleoporins (Nups) form a selective filter inside the NPC, taking a central role in the vital nucleocytoplasmic transport mechanism. How such intricate meshwork relates to function and gives rise to a transport mechanism is still unclear. Here we set out to tackle this issue in intact cells by an established combination of fluorescence correlation spectroscopy and real-time tracking of the center of mass of single NPCs. We find the dynamics of nucleoporin Nup153 to be regulated so as to produce rapid, discrete exchange between two separate positions within the NPC. A similar behavior is also observed for both karyopherinβ1 transport-receptor and cargoes destined to nuclear import. Thus, we argue that directed Nup-mediated molecular motion may represent an intrinsic feature of the overall selective gating through intact NPCs.
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Affiliation(s)
- Francesco Cardarelli
- Center for Nanotechnology Innovation at National Enterprise for nanoScience and nanoTechnology, Istituto Italiano di Tecnologia, 56127 Pisa, Italy
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109
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Capturing directed molecular motion in the nuclear pore complex of live cells. Proc Natl Acad Sci U S A 2012; 109:9863-8. [PMID: 22665783 DOI: 10.1073/pnas.1200486109] [Citation(s) in RCA: 53] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
Nuclear pore complexes (NPCs) are gateways for nucleocytoplasmic exchange. Intrinsically disordered nucleoporins (Nups) form a selective filter inside the NPC, taking a central role in the vital nucleocytoplasmic transport mechanism. How such intricate meshwork relates to function and gives rise to a transport mechanism is still unclear. Here we set out to tackle this issue in intact cells by an established combination of fluorescence correlation spectroscopy and real-time tracking of the center of mass of single NPCs. We find the dynamics of nucleoporin Nup153 to be regulated so as to produce rapid, discrete exchange between two separate positions within the NPC. A similar behavior is also observed for both karyopherinβ1 transport-receptor and cargoes destined to nuclear import. Thus, we argue that directed Nup-mediated molecular motion may represent an intrinsic feature of the overall selective gating through intact NPCs.
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110
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Abstract
The nuclear pore complex (NPC), the sole gateway for nucleocytoplasmic exchange in eukaryotic cells, allows for the passive diffusion of small molecules and transport-receptor-facilitated translocation of signal-dependent cargo molecules. Whether small molecules passively diffuse through a single central channel or through multiple holes of a hydrogel network is a subject of debate. Additionally, whether the passive and facilitated transport systems occupy distinct or overlapping physical regions of the NPC remains unclear. Here, we directly test these models using three-dimensional super-resolution fluorescence microscopy of human cells. This approach reveals that a single viscous central channel in the NPC acts as the sole pathway for passive diffusion of various small molecules; transport receptors and their cargo complexes take distinct transport routes in the periphery, which is occluded by phenylalanine-glycine filaments. Furthermore, the passive and facilitated passageways in the NPC are closely correlated, and their conformations can be simultaneously regulated by Importin β1 (a major transport receptor) and RanGTP (a critical regulator of transport directionality). These results strongly favor a self-regulated viscous channel configuration in native NPCs over the porous hydrogel meshwork model.
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111
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Tetenbaum-Novatt J, Hough LE, Mironska R, McKenney AS, Rout MP. Nucleocytoplasmic transport: a role for nonspecific competition in karyopherin-nucleoporin interactions. Mol Cell Proteomics 2012; 11:31-46. [PMID: 22357553 DOI: 10.1074/mcp.m111.013656] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022] Open
Abstract
Nucleocytoplasmic transport occurs through the nuclear pore complex (NPC), which in yeast is a ~50 MDa complex consisting of ~30 different proteins. Small molecules can freely exchange through the NPC, but macromolecules larger than ~40 kDa must be aided across by transport factors, most of which belong to a related family of proteins termed karyopherins (Kaps). These transport factors bind to the disordered phenylalanine-glycine (FG) repeat domains in a family of NPC proteins termed FG nups, and this specific binding allows the transport factors to cross the NPC. However, we still know little in terms of the molecular and kinetic details regarding how this binding translates to selective passage of transport factors across the NPC. Here we show that the specific interactions between Kaps and FG nups are strongly modulated by the presence of a cellular milieu whose proteins appear to act as very weak competitors that nevertheless collectively can reduce Kap/FG nup affinities by several orders of magnitude. Without such modulation, the avidities between Kaps and FG nups measured in vitro are too tight to be compatible with the rapid transport kinetics observed in vivo. We modeled the multivalent interactions between the disordered repeat binding sites in the FG nups and multiple cognate binding sites on Kap, showing that they should indeed be sensitive to even weakly binding competitors; the introduction of such competition reduces the availability of these binding sites, dramatically lowering the avidity of their specific interactions and allowing rapid nuclear transport.
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Affiliation(s)
- Jaclyn Tetenbaum-Novatt
- The Laboratory of Cellular and Structural Biology, The Rockefeller University, New York, New York 10065, USA
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112
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Yang W. 'Natively unfolded' nucleoporins in nucleocytoplasmic transport: clustered or evenly distributed? Nucleus 2012; 2:10-6. [PMID: 21647294 DOI: 10.4161/nucl.2.1.13818] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/11/2010] [Revised: 09/29/2010] [Accepted: 10/01/2010] [Indexed: 12/23/2022] Open
Abstract
The nuclear pore complex (NPC) acts as a selective gate that mediates the bidirectional transport of macromolecules between the cytoplasm and the nucleus of eukaryotic cells. 'Natively unfolded' nucleoporins (Nups) with domains rich in phenylalanine-glycine (FG) repeats form the selective permeability barrier and provide binding sites for mobile transport receptors in the NPC. Understanding the structure and function of the FG-Nups barrier under real-time trafficking conditions is still a formidable challenge due to the dynamic nature of a channeled membranous environment. Recently, we have shown that three-dimensional (3D) density maps of transient interactions between the FG-Nups barrier and a cargo-free or a cargo-bound transport receptor in native NPCs can be obtained by an advanced single-molecule fluorescence microscopy approach. Moreover, we found that these interaction sites are spatially clustered into distinct groups in the periphery around a central axial channel with a diameter of approximately 10-20 nm in the NPC. The 3D distribution of interaction sites may indicate some native properties of the FG-Nups barrier. Here we speculate that the selective permeability barrier in the NPC could be formed by clustered FG-Nups.
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Affiliation(s)
- Weidong Yang
- Department of Biological Sciences, Center for Photochemical Sciences, Bowling Green State University, OH, USA.
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113
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Grünwald D, Singer RH. Multiscale dynamics in nucleocytoplasmic transport. Curr Opin Cell Biol 2011; 24:100-6. [PMID: 22196930 DOI: 10.1016/j.ceb.2011.11.011] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2011] [Accepted: 11/24/2011] [Indexed: 01/06/2023]
Abstract
The nuclear pore complex (NPC) has long been viewed as a point-like entry and exit channel between the nucleus and the cytoplasm. New data support a different view whereby the complex displays distinct spatial dynamics of variable duration ranging from milliseconds to events spanning the entire cell cycle. Discrete interaction sites outside the central channel become apparent, and transport regulation at these sites seems to be of greater importance than currently thought. Nuclear pore components are highly active outside the NPC or impact the fate of cargo transport away from the nuclear pore. The NPC is a highly dynamic, crowded environment-constantly loaded with cargo while providing selectivity based on unfolded proteins. Taken together, this comprises a new paradigm in how we view import/export dynamics and emphasizes the multiscale nature of NPC-mediated cellular transport.
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Affiliation(s)
- David Grünwald
- Delft University of Technology, Kavli Institute of Nanoscience, Department of Bionanoscience, Lorentzweg 1, 2628 CJ Delft, The Netherlands.
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114
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Fluorescence correlation spectroscopy of intact nuclear pore complexes. Biophys J 2011; 101:L27-9. [PMID: 21843462 DOI: 10.1016/j.bpj.2011.04.057] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/22/2011] [Revised: 04/02/2011] [Accepted: 04/11/2011] [Indexed: 01/06/2023] Open
Abstract
No methods proposed thus far have the sensitivity to measure the transport of single molecules through single nuclear pore complexes (NPCs) in intact cells. Here we demonstrate that fluorescence correlation spectroscopy (FCS) combined with real-time tracking of the center of mass of single NPCs in live, unperturbed cells allows us to detect the transport of single molecules in a reference system of a pore with high temporal (millisecond) and spatial (limited by diffraction) resolution. We find that the transport of the classical receptor karyopherin-β1 (Kapβ1) is regulated so as to produce a peculiar distribution of characteristic times at the NPC. This regulation, which is spatially restricted to the pore, depends on the properties and metabolic energy of Kapβ1. As such, this method provides a powerful tool for studying nucleocytoplasmic shuttling at the nanometer scale under physiological conditions.
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115
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Goryaynov A, Ma J, Yang W. Single-molecule studies of nucleocytoplasmic transport: from one dimension to three dimensions. Integr Biol (Camb) 2011; 4:10-21. [PMID: 22020388 DOI: 10.1039/c1ib00041a] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
In eukaryotic cells, the bidirectional trafficking of proteins and genetic materials across the double-membrane nuclear envelope is mediated by nuclear pore complexes (NPCs). A highly selective barrier formed by the phenylalanine-glycine (FG)-nucleoporin (Nup) in the NPC allows for two transport modes: passive diffusion and transport receptor-facilitated translocation. Strict regulation of nucleocytoplasmic transport is crucial for cell survival, differentiation, growth and other essential activities. However, due to the limited knowledge of the native configuration of the FG-Nup barrier and the interactions between the transiting molecules and the barrier in the NPC, the precise nucleocytoplasmic transport mechanism remains unresolved. To refine the transport mechanism, single-molecule fluorescence microscopy methods have been employed to obtain the transport kinetics of individual fluorescent molecules through the NPC and to map the interactions between transiting molecules and the FG-Nup barrier. Important characteristics of nucleocytoplasmic transport, such as transport time, transport efficiency and spatial distribution of single transiting molecules in the NPC, have been obtained that could not be measured by either ensemble average methods or conventional electron microscopy. In this critical review, we discuss the development of various single-molecule techniques and their application to nucleocytoplasmic transport in vitro and in vivo. In particular, we highlight a recent advance from one-dimensional to three-dimensional single-molecule characterization of transport through the NPC and present a comprehensive understanding of the nucleocytoplasmic transport mechanism obtained by this new technical development (105 references).
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Affiliation(s)
- Alexander Goryaynov
- Department of Biological Sciences, Center for Photochemical Sciences, Bowling Green State University, Bowling Green, OH 43403, USA
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116
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Sako Y, Hiroshima M, Pack CG, Okamoto K, Hibino K, Yamamoto A. Live cell single-molecule detection in systems biology. WILEY INTERDISCIPLINARY REVIEWS-SYSTEMS BIOLOGY AND MEDICINE 2011; 4:183-92. [DOI: 10.1002/wsbm.161] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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117
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Kahms M, Hüve J, Wesselmann R, Farr JC, Baumgärtel V, Peters R. Lighting up the nuclear pore complex. Eur J Cell Biol 2011; 90:751-8. [DOI: 10.1016/j.ejcb.2011.04.004] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022] Open
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118
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Abstract
The central dogma of molecular biology - DNA makes RNA makes proteins - is a flow of information that in eukaryotes encounters a physical barrier: the nuclear envelope, which encapsulates, organizes and protects the genome. Nuclear-pore complexes, embedded in the nuclear envelope, regulate the passage of molecules to and from the nucleus, including the poorly understood process of the export of RNAs from the nucleus. Recent imaging approaches focusing on single molecules have provided unexpected insight into this crucial step in the information flow. This review addresses the latest studies of RNA export and presents some models for how this complex process may work.
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119
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Hinde E, Cardarelli F. Measuring the flow of molecules in cells. Biophys Rev 2011; 3:119. [PMID: 28510061 DOI: 10.1007/s12551-011-0051-x] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2011] [Accepted: 07/01/2011] [Indexed: 12/23/2022] Open
Abstract
No methods proposed thus far have the capability to measure molecular flow in live cells at the single molecule level. Here, we review the potentiality of a newly established method based on the spatial correlation of fluorescence fluctuations at a pair of points in the sample (pair correlation method). The pair correlation function (pCF) offers a unique tool to probe the directionality of intracellular traffic, by measuring the accessibility of the cellular landscape and its role in determining the diffusive routes adopted by molecules. The sensitivity of the pCF method toward detection of barriers means that different structural elements of the cell can be tested in terms of penetrability and mechanisms of regulation imparted on molecular flow. This has been recently demonstrated in a series of studies looking at molecular transport inside live cells. Here, we will review the theory behind detection of barriers to molecular flow, the rules to interpret pCF data, and relevant applications to intracellular transport.
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Affiliation(s)
- Elizabeth Hinde
- Laboratory for Fluorescence Dynamics, Department of Biomedical Engineering, University of California, Irvine, CA, USA
| | - Francesco Cardarelli
- Laboratory for Fluorescence Dynamics, Department of Biomedical Engineering, University of California, Irvine, CA, USA. .,Center for Nanotechnology Innovation @NEST, Istituto Italiano di Tecnologia, Piazza San Silvestro 12, 56127, Pisa, Italy.
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120
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Tuteja R, Mehta J. A genomic glance at the components of the mRNA export machinery in Plasmodium falciparum. Commun Integr Biol 2011; 3:318-26. [PMID: 20798816 DOI: 10.4161/cib.3.4.11886] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2010] [Accepted: 03/24/2010] [Indexed: 01/29/2023] Open
Abstract
Nuclear export of mRNAs is one of the steps critically important for gene expression and different steps of mRNA processing are linked to the export of the mRNA out of the nucleus. This coupling probably provides a quality control mechanism as well as a higher efficiency for the synthesis of mRNAs. The mRNA is synthesized in the nucleus and then exported to the cytoplasm through the nuclear pore complexes (NPCs), which are embedded in the nuclear envelope. The Mex67-Mtr2 complex in yeast and its counterpart Tap-p15 in higher eukaryotes function as an mRNA exporter through the NPC. Some of the DEAD box proteins such as UAP56 and Dbp5 have been implicated in mRNA export also. In this report using the bioinformatics approach we have analyzed the components of the mRNA export machinery in Plasmodium falciparum and also highlighted the salient features of some of the components. Further detailed studies on various components of nuclear mRNA export in Plasmodium falciparum will be essential to understand this important pathway.
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Affiliation(s)
- Renu Tuteja
- Malaria Group; International Centre for Genetic Engineering and Biotechnology; Aruna Asaf Ali Marg, New Delhi India
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121
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Jovanovic-Talisman T, Zilman A. Nanobiotechnology: building a basic nanomachine. NATURE NANOTECHNOLOGY 2011; 6:397-398. [PMID: 21731070 DOI: 10.1038/nnano.2011.108] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
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122
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Moussavi-Baygi R, Jamali Y, Karimi R, Mofrad MRK. Biophysical coarse-grained modeling provides insights into transport through the nuclear pore complex. Biophys J 2011; 100:1410-9. [PMID: 21402022 DOI: 10.1016/j.bpj.2011.01.061] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2010] [Revised: 12/13/2010] [Accepted: 01/19/2011] [Indexed: 11/16/2022] Open
Abstract
The nuclear pore complex (NPC) is the gatekeeper of the nucleus, capable of actively discriminating between the active and inert cargo while accommodating a high rate of translocations. The biophysical mechanisms underlying transport, however, remain unclear due to the lack of information about biophysical factors playing role in transport. Based on published experimental data, we have established a coarse-grained model of an intact NPC structure to examine nucleocytoplasmic transport with refined spatial and temporal resolutions. Using our model, we estimate the transport time versus cargo sizes. Our findings suggest that the mean transport time of cargos smaller than 15 nm is independent of size, while beyond this size, there is a sharp increase in the mean transport time. The model confirms that kap-FG hydrophobicity is sufficient for active cargo transport. Moreover, our model predicts that during translocation, small and large cargo-complexes are hydrophobically attached to FG-repeat domains for 86 and 96% of their transport time, respectively. Inside the central channel FG-repeats form a thick layer on the wall leaving an open tube. The cargo-complex is almost always attached to this layer and diffuses back and forth, regardless of the cargo size. Finally, we propose a plausible model for transport in which the NPC can be viewed as a lubricated gate. This model incorporates basic assumptions underlying virtual-gate and reduction-of-dimensionality models with the addition of the FG-layer inside the central channel acting as a lubricant.
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Affiliation(s)
- R Moussavi-Baygi
- Molecular Cell Biomechanics Laboratory, Department of Bioengineering, University of California, Berkeley, California, USA
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123
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Kowalczyk SW, Kapinos L, Blosser TR, Magalhães T, van Nies P, Lim RYH, Dekker C. Single-molecule transport across an individual biomimetic nuclear pore complex. NATURE NANOTECHNOLOGY 2011; 6:433-8. [PMID: 21685911 DOI: 10.1038/nnano.2011.88] [Citation(s) in RCA: 191] [Impact Index Per Article: 14.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/15/2011] [Accepted: 05/17/2011] [Indexed: 05/24/2023]
Abstract
Nuclear pore complexes regulate the selective exchange of RNA and proteins across the nuclear envelope in eukaryotic cells. Biomimetic strategies offer new opportunities to investigate this remarkable transport phenomenon. Here, we show selective transport of proteins across individual biomimetic nuclear pore complexes at the single-molecule level. Each biomimetic complex is constructed by covalently tethering either Nup98 or Nup153 (phenylalanine-glycine (FG) nucleoporins) to a solid-state nanopore. Individual translocation events are monitored using ionic current measurements with sub-millisecond temporal resolution. Transport receptors (Impβ) proceed with a dwell time of ∼2.5 ms for both Nup98- and Nup153-coated pores, whereas the passage of non-specific proteins is strongly inhibited with different degrees of selectivity. For pores up to ∼25 nm in diameter, Nups form a dense and low-conducting barrier, whereas they adopt a more open structure in larger pores. Our biomimetic nuclear pore complex provides a quantitative platform for studying nucleocytoplasmic transport phenomena at the single-molecule level in vitro.
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Affiliation(s)
- Stefan W Kowalczyk
- Kavli Institute of Nanoscience, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
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124
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Moussavi-Baygi R, Jamali Y, Karimi R, Mofrad MRK. Brownian dynamics simulation of nucleocytoplasmic transport: a coarse-grained model for the functional state of the nuclear pore complex. PLoS Comput Biol 2011; 7:e1002049. [PMID: 21673865 PMCID: PMC3107250 DOI: 10.1371/journal.pcbi.1002049] [Citation(s) in RCA: 59] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2010] [Accepted: 03/28/2011] [Indexed: 11/19/2022] Open
Abstract
The nuclear pore complex (NPC) regulates molecular traffic across the nuclear envelope (NE). Selective transport happens on the order of milliseconds and the length scale of tens of nanometers; however, the transport mechanism remains elusive. Central to the transport process is the hydrophobic interactions between karyopherins (kaps) and Phe-Gly (FG) repeat domains. Taking into account the polymeric nature of FG-repeats grafted on the elastic structure of the NPC, and the kap-FG hydrophobic affinity, we have established a coarse-grained model of the NPC structure that mimics nucleocytoplasmic transport. To establish a foundation for future works, the methodology and biophysical rationale behind the model is explained in details. The model predicts that the first-passage time of a 15 nm cargo-complex is about 2.6±0.13 ms with an inverse Gaussian distribution for statistically adequate number of independent Brownian dynamics simulations. Moreover, the cargo-complex is primarily attached to the channel wall where it interacts with the FG-layer as it passes through the central channel. The kap-FG hydrophobic interaction is highly dynamic and fast, which ensures an efficient translocation through the NPC. Further, almost all eight hydrophobic binding spots on kap-β are occupied simultaneously during transport. Finally, as opposed to intact NPCs, cytoplasmic filaments-deficient NPCs show a high degree of permeability to inert cargos, implying the defining role of cytoplasmic filaments in the selectivity barrier. Perforating and spanning the nuclear envelope (NE), the nuclear pore complex (NPC) is a supramolecular assembly that regulates all traffic between the nucleus and cytoplasm. As the unique gateway to the nucleus, NPC selectively facilitates the transport of large cargo while offering a relatively unobstructed pathway for small molecules and ions. Despite the high throughput of about 1000 translocations per NPC per second, the NPC strictly controls the passage of individual cargos. However, the dynamic mechanism of nucleocytoplasmic transport is poorly understood. It is too difficult to experiment on the transport mechanism within the confined geometry of this tiny pore in vivo. Currently, only computational techniques can elucidate the detailed events happening at this tiny pore with a refined spatiotemporal resolution to account for transient bonds. Based on experimental data regarding the NPC structure and nucleocytoplasmic transport, we have established a coarse-grained model of the functional state of the NPC. The model mimics nucleocytoplasmic transport and allows us to directly observe the processes happening within the pore from a biophysical perspective. The first-passage time of a single cargo-complex is found to be about 2.6 ms. Furthermore, kap-FG hydrophobic bonds are highly dynamic and short-lived, ensuring efficient transport.
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Affiliation(s)
- Ruhollah Moussavi-Baygi
- Molecular Cell Biomechanics Laboratory, Department of Bioengineering, University of California, Berkeley, California, United States of America
| | - Yousef Jamali
- Molecular Cell Biomechanics Laboratory, Department of Bioengineering, University of California, Berkeley, California, United States of America
| | - Reza Karimi
- Molecular Cell Biomechanics Laboratory, Department of Bioengineering, University of California, Berkeley, California, United States of America
| | - Mohammad R. K. Mofrad
- Molecular Cell Biomechanics Laboratory, Department of Bioengineering, University of California, Berkeley, California, United States of America
- * E-mail:
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125
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Calcium regulation of nucleocytoplasmic transport. Protein Cell 2011; 2:291-302. [PMID: 21528351 DOI: 10.1007/s13238-011-1038-x] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/15/2011] [Accepted: 03/27/2011] [Indexed: 10/18/2022] Open
Abstract
Bidirectional trafficking of macromolecules between the cytoplasm and the nucleus is mediated by the nuclear pore complexes (NPCs) embedded in the nuclear envelope (NE) of eukaryotic cell. The NPC functions as the sole pathway to allow for the passive diffusion of small molecules and the facilitated translocation of larger molecules. Evidence shows that these two transport modes and the conformation of NPC can be regulated by calcium stored in the lumen of nuclear envelope and endoplasmic reticulum. However, the mechanism of calcium regulation remains poorly understood. In this review, we integrate data on the observations of calciumregulated structure and function of the NPC over the past years. Furthermore, we highlight challenges in the measurements of dynamic conformational changes and transient transport kinetics in the NPC. Finally, an innovative imaging approach, single-molecule superresolution fluorescence microscopy, is introduced and expected to provide more insights into the mechanism of calcium-regulated nucleocytoplasmic transport.
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126
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Peleg O, Lim RYH. Converging on the function of intrinsically disordered nucleoporins in the nuclear pore complex. Biol Chem 2011; 391:719-30. [PMID: 20482319 DOI: 10.1515/bc.2010.092] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/16/2022]
Abstract
Several biological mechanisms involve proteins or proteinaceous components that are intrinsically disordered. A case in point pertains to the nuclear pore complex (NPC), which regulates molecular transport between the nucleus and the cytoplasm. NPC functionality is dependent on unfolded domains rich in Phe-Gly (FG) repeats (i.e., FG-domains) that collectively act to promote or hinder cargo translocation. To a large extent, our understanding of FG-domain behavior is limited to in vitro investigations given the difficulty to resolve them directly in the NPC. Nevertheless, recent findings indicate a collective convergence towards rationalizing FG-domain function. This review aims to glean further insight into this fascinating problem by taking an objective look at the boundary conditions and contextual details underpinning FG-domain behavior in the NPC. Here, we treat the FG-domains as being commensurate with polymeric chains to address ambiguities such as for instance, how FG-domains tethered to the central channel of the NPC would behave differently as compared with their free-floating counterparts in solution. By bringing such fundamental questions to the fore, this review seeks to illuminate the importance of how such parameters can hold influence over the structure-function relation of intrinsically disordered proteins in the NPC and beyond.
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Affiliation(s)
- Orit Peleg
- Department of Materials, ETH Zurich, Wolfgang-Pauli-Strasse 10, CH-8093 Zurich, Switzerland
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127
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Rosner K, Kasprzak MF, Horenstein ACJ, Thurston HL, Abrams J, Kerwin LY, Mehregan DA, Mehregan DR. Engineering a waste management enzyme to overcome cancer resistance to apoptosis: adding DNase1 to the anti-cancer toolbox. Cancer Gene Ther 2011; 18:346-57. [PMID: 21233855 DOI: 10.1038/cgt.2010.84] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
Abstract
Cancer treatment is often complicated by resistance to conventional anti-cancer treatment and to more recently developed immunotherapy and gene therapy. These therapeutic modalities aim at activating death pathways within cancer cells. Attempts to activate the apoptotic death pathway, by overexpressing proapoptotic signals, are compromised by cancer defense mechanisms, which disrupt the apoptotic-signaling cascade downstream of the overexpressed component. Here, we describe a therapeutic option of triggering apoptosis without activating the apoptotic-signaling cascade or using the native apoptosis executioner nuclease. We have engineered Deoxyribonuclease-1 (DNase1), a waste-management enzyme, by deleting its signal peptide, adding a nuclear localization signal, and mutating its actin-binding site. Apoptosis studies and colony-forming assay for assessing cell viability were conducted in apoptosis-resistant Mel-Juso human melanoma cells. The modified DNase1 reduced cell viability by 77% relative to controls. It also induced typical microscopic features of cellular apoptosis, such as Terminal Transferase dUTP Nick-End Labeling-positive cells and DNA fragmentation. Quantification of apoptosis by Laser scanning cytometry demonstrated high-killing efficiency of 70-100%. The results suggest that this modified DNase1 can efficiently eliminate apoptosis-resistant cancer cells through apoptosis. Coupled to different tissue-specific gene expression elements, this recombinant DNase1 may serve as a platform for eliminating a variety of cancer types.
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Affiliation(s)
- K Rosner
- Laboratory for Molecular Dermatology, Program in Molecular Biology and Genetics, Barbara Ann Karmanos Cancer Institute, Detroit, MI 48201, USA.
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128
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Tu LC, Musser SM. Single molecule studies of nucleocytoplasmic transport. BIOCHIMICA ET BIOPHYSICA ACTA-MOLECULAR CELL RESEARCH 2010; 1813:1607-18. [PMID: 21167872 DOI: 10.1016/j.bbamcr.2010.12.011] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/01/2010] [Revised: 10/18/2010] [Accepted: 12/08/2010] [Indexed: 01/09/2023]
Abstract
Molecular traffic between the cytoplasm and the nucleoplasm of eukaryotic cells is mediated by nuclear pore complexes (NPCs). Hundreds, if not thousands, of molecules interact with and transit through each NPC every second. The pore is blocked by a permeability barrier, which consists of a network of intrinsically unfolded polypeptides containing thousands of phenylalanine-glycine (FG) repeat motifs. This FG-network rejects larger molecules and admits smaller molecules or cargos bound to nuclear transport receptors (NTRs). For a cargo transport complex, minimally consisting of a cargo molecule plus an NTR, access to the permeability barrier is provided by interactions between the NTR and the FG repeat motifs. Numerous models have been postulated to explain the controlled accessibility and the transport characteristics of the FG-network, but the amorphous, flexible nature of this structure has hindered characterization. A relatively recent development is the ability to monitor the real-time movement of single molecules through individual NPCs via single molecule fluorescence (SMF) microscopy. A major advantage of this approach is that it can be used to continuously monitor a series of specific molecular interactions in an active pore with millisecond time resolution, which therefore allows one to distinguish between kinetic and thermodynamic control. Novel insights and prospects for the future are outlined in this review. This article is part of a Special Issue entitled: Regulation of Signaling and Cellular Fate through Modulation of Nuclear Protein Import.
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Affiliation(s)
- Li-Chun Tu
- Department of Molecular and Cellular Medicine, College of Medicine, Texas A&M Health Science Center, College Station, TX 77843, USA
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129
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Zilman A, Bel G. Crowding effects in non-equilibrium transport through nano-channels. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2010; 22:454130. [PMID: 21339616 DOI: 10.1088/0953-8984/22/45/454130] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
Transport through nano-channels plays an important role in many biological processes and industrial applications. Gaining insights into the functioning of biological transport processes and the design of man-made nano-devices requires an understanding of the basic physics of such transport. A simple exclusion process has proven to be very useful in explaining the properties of several artificial and biological nano-channels. It is particularly useful for modeling the influence of inter-particle interactions on transport characteristics. In this paper, we explore several models of the exclusion process using a mean field approach and computer simulations. We examine the effects of crowding inside the channel and in its immediate vicinity on the mean flux and the transport times of single molecules. Finally, we discuss the robustness of the theory's predictions with respect to the crucial characteristics of the hindered diffusion in nano-channels that need to be included in the model.
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Affiliation(s)
- A Zilman
- Theoretical Biology and Biophysics Group, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
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130
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Mor A, Ben-Yishay R, Shav-Tal Y. On the right track: following the nucleo-cytoplasmic path of an mRNA. Nucleus 2010; 1:492-8. [PMID: 21327092 DOI: 10.4161/nucl.1.6.13515] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/19/2010] [Accepted: 09/03/2010] [Indexed: 11/19/2022] Open
Abstract
The transcription machinery in the eukaryotic nucleus generates messenger RNA molecules that translocate through the nucleoplasm, anchor to a nuclear pore, and find their way out into the cytoplasm. The dynamic aspects of these steps in the expression pathway were examined in order to understand the kinetic time-frames of gene activation and message dissemination. Utilizing live-cell imaging and tracking of single mRNPs containing different sized mRNAs and varying numbers of introns and exons, it was possible to quantify the temporal and spatial characteristics of the nucleoplasmic travels of mRNPs as well as the kinetics of translocation through the nuclear pore.
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Affiliation(s)
- Amir Mor
- The Mina & Everard Goodman Faculty of Life Sciences & Institute of Nanotechnology, Bar-Ilan University, Ramat Gan, Israel
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131
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Dölker N, Zachariae U, Grubmüller H. Hydrophilic linkers and polar contacts affect aggregation of FG repeat peptides. Biophys J 2010; 98:2653-61. [PMID: 20513410 DOI: 10.1016/j.bpj.2010.02.049] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2009] [Revised: 02/03/2010] [Accepted: 02/12/2010] [Indexed: 11/28/2022] Open
Abstract
Transport of large proteins into the nucleus involves two events, binding of the cargo protein to a transport receptor in the cytoplasm and passage of the cargo-transporter complex through the selective permeability barrier of the nuclear pore complex. The permeability barrier is formed by largely disordered polypeptides, each containing a number of conserved hydrophobic phenylalanine-glycine (FG) sequence motifs, connected by hydrophilic linkers of varying sequence (FG nups). How the motifs interact to form the permeability barrier, however, is not yet known. We have, therefore, carried out molecular dynamics simulations on various model FG repeat peptides to study the aggregation propensity of FG nups and the specific roles of the hydrophobic FG motifs and the hydrophilic linkers. Our simulations show spontaneous aggregation of the model nups into hydrated aggregates, which exhibit structural features assumed to be part of the permeability barrier. Our simulations suggest that short beta-sheets are an important structural feature of the aggregates and that Phe residues are sufficiently exposed to allow rapid binding of transport receptors. A surprisingly large influence of the amino acid composition of the hydrophilic linkers on aggregation is seen, as well as a major contribution of hydrogen-bonding patterns.
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Affiliation(s)
- Nicole Dölker
- Max-Planck-Institute for Biophysical Chemistry, Department of Theoretical and Computational Biophysics, Göttingen, Germany.
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132
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Selectivity mechanism of the nuclear pore complex characterized by single cargo tracking. Nature 2010; 467:600-3. [PMID: 20811366 PMCID: PMC2948059 DOI: 10.1038/nature09285] [Citation(s) in RCA: 113] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2009] [Accepted: 06/10/2010] [Indexed: 01/10/2023]
Abstract
The nuclear pore complex (NPC) mediates all exchange between the cytoplasm and the nucleus. Small molecules can passively diffuse through the NPC, whereas larger cargos require transport receptors to translocate. How the NPC facilitates the translocation of transport receptor/cargo complexes remains unclear. To investigate this process, we tracked single protein-functionalized quantum dot cargos as they moved through human NPCs. Here we show that import proceeds by successive substeps comprising cargo capture, filtering and translocation, and release into the nucleus. Most quantum dots are rejected at one of these steps and return to the cytoplasm, including very large cargos that abort at a size-selective barrier. Cargo movement in the central channel is subdiffusive and cargos that can bind more transport receptors diffuse more freely. Without Ran GTPase, a critical regulator of transport directionality, cargos still explore the entire NPC, but have a markedly reduced probability of exit into the nucleus, suggesting that NPC entry and exit steps are not equivalent and that the pore is functionally asymmetric to importing cargos. The overall selectivity of the NPC seems to arise from the cumulative action of multiple reversible substeps and a final irreversible exit step.
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133
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Hohlbein J, Gryte K, Heilemann M, Kapanidis AN. Surfing on a new wave of single-molecule fluorescence methods. Phys Biol 2010; 7:031001. [DOI: 10.1088/1478-3975/7/3/031001] [Citation(s) in RCA: 69] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
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134
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Abstract
Internal membrane bound structures sequester all genetic material in eukaryotic cells. The most prominent of these structures is the nucleus, which is bounded by a double membrane termed the nuclear envelope (NE). Though this NE separates the nucleoplasm and genetic material within the nucleus from the surrounding cytoplasm, it is studded throughout with portals called nuclear pore complexes (NPCs). The NPC is a highly selective, bidirectional transporter for a tremendous range of protein and ribonucleoprotein cargoes. All the while the NPC must prevent the passage of nonspecific macromolecules, yet allow the free diffusion of water, sugars, and ions. These many types of nuclear transport are regulated at multiple stages, and the NPC carries binding sites for many of the proteins that modulate and modify the cargoes as they pass across the NE. Assembly, maintenance, and repair of the NPC must somehow occur while maintaining the integrity of the NE. Finally, the NPC appears to be an anchor for localization of many nuclear processes, including gene activation and cell cycle regulation. All these requirements demonstrate the complex design of the NPC and the integral role it plays in key cellular processes.
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Affiliation(s)
- Susan R Wente
- Department of Cell and Developmental Biology, Vanderbilt University Medical Center, Nashville, Tennessee 37232, USA.
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135
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Zilman A, Di Talia S, Jovanovic-Talisman T, Chait BT, Rout MP, Magnasco MO. Enhancement of transport selectivity through nano-channels by non-specific competition. PLoS Comput Biol 2010; 6:e1000804. [PMID: 20548778 PMCID: PMC2883555 DOI: 10.1371/journal.pcbi.1000804] [Citation(s) in RCA: 48] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2009] [Accepted: 05/04/2010] [Indexed: 12/23/2022] Open
Abstract
The functioning of living cells requires efficient and selective transport of materials into and out of the cell, and between different cellular compartments. Much of this transport occurs through nano-scale channels that do not require large scale molecular re-arrangements (such as transition from a 'closed' to an 'open' state) and do not require a direct input of metabolic energy during transport. Nevertheless, these 'always open' channels are highly selective and pass only their cognate molecules, while efficiently excluding all others; indeed, these channels can efficiently transport specific molecules even in the presence of a vast excess of non-specific molecules. Such biological transporters have inspired the creation of artificial nano-channels. These channels can be used as nano-molecular sorters, and can also serve as testbeds for examining modes of biological transport. In this paper, we propose a simple kinetic mechanism that explains how the selectivity of such 'always open' channels can be based on the exclusion of non-specific molecules by specific ones, due to the competition for limited space inside the channel. The predictions of the theory account for the behavior of the nuclear pore complex and of artificial nanopores that mimic its function. This theory provides the basis for future work aimed at understanding the selectivity of various biological transport phenomena.
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Affiliation(s)
- Anton Zilman
- Theoretical Biology and Biophysics Group and Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, United States of America
| | - Stefano Di Talia
- Laboratory of Yeast Molecular Genetics, The Rockefeller University, New York, New York, United States of America
| | - Tijana Jovanovic-Talisman
- Laboratory of Mass Spectrometry and Gaseous Ion Chemistry, The Rockefeller University, New York, New York, United States of America
| | - Brian T. Chait
- Laboratory of Mass Spectrometry and Gaseous Ion Chemistry, The Rockefeller University, New York, New York, United States of America
| | - Michael P. Rout
- Laboratory of Cellular and Structural Biology, The Rockefeller University, New York, New York, United States of America
| | - Marcelo O. Magnasco
- Laboratory of Mathematical Physics, The Rockefeller University, New York, New York, United States of America
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136
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Goryaynov A, Sarma A, Ma J, Yang W. Single-molecule imaging of nuclear transport. J Vis Exp 2010:2040. [PMID: 20548283 DOI: 10.3791/2040] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022] Open
Abstract
The utility of single molecule fluorescence microscopy approaches has been proven to be of a great avail in understanding biological reactions over the last decade. The investigation of molecular interactions with high temporal and spatial resolutions deep within cells has remained challenging due to the inherently weak signals arising from individual molecules. Recent works by Yang et al. demonstrated that narrow-field epifluorescence microscopy allows visualization of nucleocytoplasmic transport at the single molecule level. By the single molecule approach, important kinetics, such as nuclear transport time and efficiency, for signal-dependent and independent cargo molecules have been obtained. Here we described a protocol for the methodological approach with an improved spatiotemporal resolution of 0.4 ms and 12 nm. The improved resolution enabled us to capture transient active transport and passive diffusion events through the nuclear pore complexes (NPC) in semi-intact cells. We expect this method to be used in elucidating other binding and trafficking events within cells.
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137
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Lord SJ, Lee HLD, Moerner WE. Single-molecule spectroscopy and imaging of biomolecules in living cells. Anal Chem 2010; 82:2192-203. [PMID: 20163145 DOI: 10.1021/ac9024889] [Citation(s) in RCA: 126] [Impact Index Per Article: 9.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
Abstract
The number of reports per year on single-molecule imaging experiments has grown roughly exponentially since the first successful efforts to optically detect a single molecule were completed over two decades ago. Single-molecule spectroscopy has developed into a field that includes a wealth of experiments at room temperature and inside living cells. The fast growth of single-molecule biophysics has resulted from its benefits in probing heterogeneous populations, one molecule at a time, as well as from advances in microscopes and detectors. This Perspective summarizes the field of live-cell imaging of single biomolecules.
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Affiliation(s)
- Samuel J Lord
- Department of Chemistry, Stanford University, Stanford, California 94305-5080, USA
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138
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Chang WH, Liu Y. Bio-Orthogonal Protein Labeling Methods for Single Molecule FRET. J CHIN CHEM SOC-TAIP 2010. [DOI: 10.1002/jccs.201000073] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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139
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Mor A, Suliman S, Ben-Yishay R, Yunger S, Brody Y, Shav-Tal Y. Dynamics of single mRNP nucleocytoplasmic transport and export through the nuclear pore in living cells. Nat Cell Biol 2010; 12:543-52. [PMID: 20453848 DOI: 10.1038/ncb2056] [Citation(s) in RCA: 203] [Impact Index Per Article: 14.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2010] [Accepted: 04/15/2010] [Indexed: 12/16/2022]
Abstract
The flow of genetic information in eukaryotic cells occurs through the nucleocytoplasmic translocation of mRNAs. Knowledge of in vivo messenger RNA export kinetics remains poor in comparison with that of protein transport. We have established a mammalian system that allowed the real-time visualization and quantification of large single mRNA-protein complexes (mRNPs) during export. The in vivo dynamics of bulk mRNP transport and export, from transcription to the nuclear pore complex (NPC), occurred within a 5-40 minute time frame, with no NPC pile-up. mRNP export was rapid (about 0.5 s) and kinetically faster than nucleoplasmic diffusion. Export inhibition demonstrated that mRNA-NPC interactions were independent of ongoing export. Nucleoplasmic transport dynamics of intron-containing and intronless mRNAs were similar, yet an intron did increase export efficiency. Here we provide visualization and analysis at the single mRNP level of the various steps in nuclear gene expression and the inter-chromatin tracks through which mRNPs diffuse, and demonstrate the kinetics of mRNP-NPC interactions and translocation.
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Affiliation(s)
- Amir Mor
- The Mina & Everard Goodman Faculty of Life Sciences & Institute of Nanotechnology, Bar-Ilan University, Ramat Gan 52900, Israel
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140
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Cardarelli F, Gratton E. In vivo imaging of single-molecule translocation through nuclear pore complexes by pair correlation functions. PLoS One 2010; 5:e10475. [PMID: 20454622 PMCID: PMC2862743 DOI: 10.1371/journal.pone.0010475] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/25/2010] [Accepted: 04/11/2010] [Indexed: 01/21/2023] Open
Abstract
BACKGROUND Nuclear pore complexes (NPCs) mediate bidirectional transport of proteins, RNAs, and ribonucleoproteins across the double-membrane nuclear envelope. Although there are many studies that look at the traffic in the nucleus and through the nuclear envelope we propose a method to detect the nucleocytoplasmic transport kinetics in an unperturbed cell, with no requirement for specific labeling of isolated molecules and, most important, in the presence of the cell milieu. METHODOLOGY The pair correlation function method (pCF) measures the time a molecule takes to migrate from one location to another within the cell in the presence of many molecules of the same kind. The spatial and temporal correlation among two arbitrary points in the cell provides a local map of molecular transport, and also highlights the presence of barriers to diffusion with millisecond time resolution and spatial resolution limited by diffraction. We use the pair correlation method to monitor a model protein substrate undergoing transport through NPCs in living cells, a biological problem in which single particle tracking (SPT) has given results that cannot be confirmed by traditional single-point FCS measurements because of the lack of spatial resolution. CONCLUSIONS We show that obstacles to molecular flow can be detected and that the pCF algorithm can recognize the heterogeneity of protein intra-compartment diffusion as well as the presence of barriers to transport across NE.
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Affiliation(s)
- Francesco Cardarelli
- Laboratory for Fluorescence Dynamics, Department of Biomedical Engineering, University of California Irvine, Irvine, California, United States of America
| | - Enrico Gratton
- Laboratory for Fluorescence Dynamics, Department of Biomedical Engineering, University of California Irvine, Irvine, California, United States of America
- * E-mail:
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141
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Colwell LJ, Brenner MP, Ribbeck K. Charge as a selection criterion for translocation through the nuclear pore complex. PLoS Comput Biol 2010; 6:e1000747. [PMID: 20421988 PMCID: PMC2858669 DOI: 10.1371/journal.pcbi.1000747] [Citation(s) in RCA: 71] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2009] [Accepted: 03/18/2010] [Indexed: 01/17/2023] Open
Abstract
Nuclear pore complexes (NPCs) are highly selective filters that control the exchange of material between nucleus and cytoplasm. The principles that govern selective filtering by NPCs are not fully understood. Previous studies find that cellular proteins capable of fast translocation through NPCs (transport receptors) are characterized by a high proportion of hydrophobic surface regions. Our analysis finds that transport receptors and their complexes are also highly negatively charged. Moreover, NPC components that constitute the permeability barrier are positively charged. We estimate that electrostatic interactions between a transport receptor and the NPC result in an energy gain of several kBT, which would enable significantly increased translocation rates of transport receptors relative to other cellular proteins. We suggest that negative charge is an essential criterion for selective passage through the NPC. All proteins that move between the cytoplasm and the nucleus must pass through nuclear pore complexes, large aqueous channels around 40nm in diameter. In some cases the nuclear envelope is perforated with several thousand nuclear pore complexes, while in other cases they are few and far between. Macromolecular transport through nuclear pores is highly regulated; an elaborate system, involving the binding and unbinding of accessory proteins (transport receptors), allows regulation of which proteins can pass through the pores. The basic principles that govern this selective filtering are not fully understood. Some proteins pass through the pore without binding to transport receptors, while others require the binding of multiple transport receptors for efficient translocation. How does the pore select which proteins can pass through, and which cannot? This paper carries out a biophysical analysis of the properties of proteins that can translocate through the nuclear pore. We find that proteins capable of fast translocation are highly negatively charged, whereas proteins that cannot pass through the pore are positively charged. Moreover, proteins that constitute the interior of the pore channel itself are net positively charged. This suggests that electrostatic interactions between translocating proteins and the pore are an essential part of the selective filtering mechanism.
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Affiliation(s)
- Lucy J. Colwell
- School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts, United States of America
| | - Michael P. Brenner
- School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts, United States of America
- * E-mail: (MPB); (KR)
| | - Katharina Ribbeck
- FAS Center for Systems Biology, Harvard University, Cambridge, Massachusetts, United States of America
- * E-mail: (MPB); (KR)
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142
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Three-dimensional distribution of transient interactions in the nuclear pore complex obtained from single-molecule snapshots. Proc Natl Acad Sci U S A 2010; 107:7305-10. [PMID: 20368455 DOI: 10.1073/pnas.0908269107] [Citation(s) in RCA: 95] [Impact Index Per Article: 6.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/11/2023] Open
Abstract
The translocation of large macromolecules through the nuclear pore complex (NPC) of eukaryotic cells is hindered by the phenylalanine-glycine (FG) nucleoporin (Nup) barrier unless molecules are chaperoned by transport receptors. The precise mechanism of facilitated translocation remains unclear due to the challenges of measuring the series of transient interactions between a transport receptor and the FG-Nups. This study developed single-point edge-excitation subdiffraction microscopy to obtain a three-dimensional density map of the transient interactions with a spatiotemporal resolution of 9 nm and 400 mus. Three unique features were observed under real-time trafficking conditions that have escaped detection by conventional electron microscopy: (i) the spatial density of interaction sites between Importin beta1 (Imp beta1, a major transport receptor) and the FG-Nups gradually increases from both sides of the NPC and is highest in the central pore region; (ii) cargo-free or cargo-bound Imp beta1 rarely occupies an axial channel with a diameter of approximately 10-20 nm at its narrowest point through the NPC; and (iii) the pathway of facilitated translocation through the NPC depends more on the interaction sites of the FG-Nups than on the NPC architecture.
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143
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Lachish-Zalait A, Lau CK, Fichtman B, Zimmerman E, Harel A, Gaylord MR, Forbes DJ, Elbaum M. Transportin mediates nuclear entry of DNA in vertebrate systems. Traffic 2010; 10:1414-28. [PMID: 19761539 DOI: 10.1111/j.1600-0854.2009.00968.x] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
Delivery of DNA to the cell nucleus is an essential step in many types of viral infection, transfection, gene transfer by the plant pathogen Agrobacterium tumefaciens and in strategies for gene therapy. Thus, the mechanism by which DNA crosses the nuclear pore complex (NPC) is of great interest. Using nuclei reconstituted in vitro in Xenopus egg extracts, we previously studied DNA passage through the nuclear pores using a single-molecule approach based on optical tweezers. Fluorescently labeled DNA molecules were also seen to accumulate within nuclei. Here we find that this import of DNA relies on a soluble protein receptor of the importin family. To identify this receptor, we used different pathway-specific cargoes in competition studies as well as pathway-specific dominant negative inhibitors derived from the nucleoporin Nup153. We found that inhibition of the receptor transportin suppresses DNA import. In contrast, inhibition of importin beta has little effect on the nuclear accumulation of DNA. The dependence on transportin was fully confirmed in assays using permeabilized HeLa cells and a mammalian cell extract. We conclude that the nuclear import of DNA observed in these different vertebrate systems is largely mediated by the receptor transportin. We further report that histones, a known cargo of transportin, can act as an adaptor for the binding of transportin to DNA.
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Affiliation(s)
- Aurelie Lachish-Zalait
- Department of Materials and Interfaces, Weizmann Institute of Science, Rehovot 76100, Israel
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144
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Spatial distribution and mobility of the Ran GTPase in live interphase cells. Biophys J 2010; 97:2164-78. [PMID: 19843449 DOI: 10.1016/j.bpj.2009.07.055] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/17/2008] [Revised: 07/14/2009] [Accepted: 07/30/2009] [Indexed: 12/30/2022] Open
Abstract
The GTPase Ran is a key regulator of molecular transport through nuclear pore complex (NPC) channels. To analyze the role of Ran in its nuclear transport function, we used several quantitative fluorescence techniques to follow the distribution and dynamics of an enhanced yellow fluorescent protein (EYFP)-Ran in HeLa cells. The diffusion coefficient of the majority of EYFP-Ran molecules throughout the cells corresponded to an unbound state, revealing the remarkably dynamic Ran regulation. Although we observed no significant immobile Ran populations in cells, approximately 10% of the cytoplasmic EYFP-Ran and 30% of the nuclear EYFP-Ran exhibited low mobility indicative of molecular interactions. The high fraction of slow nuclear EYFP-Ran reflects the expected numerous interactions of nuclear RanGTP with nuclear transport receptors. However, it is not high enough to support retention mechanisms as the main cause for the observed nuclear accumulation of Ran. The highest cellular concentration of EYFP-Ran was detected at the nuclear envelope, corresponding to approximately 200 endogenous Ran molecules for each NPC, and exceeding the currently estimated NPC channel transport capacity. Together with the relatively long residence time of EYFP-Ran at the nuclear envelope (33 +/- 14 ms), these observations suggest that only a fraction of the Ran concentrated at NPCs transits through NPC channels.
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145
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Licata NA, Grill SW. The first-passage problem for diffusion through a cylindrical pore with sticky walls. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2009; 30:439-447. [PMID: 19856004 DOI: 10.1140/epje/i2009-10529-0] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/29/2009] [Revised: 08/10/2009] [Accepted: 10/01/2009] [Indexed: 05/28/2023]
Abstract
We calculate the first-passage time distribution for diffusion through a cylindrical pore with sticky walls. A particle diffusively explores the interior of the pore through a series of binding and unbinding events with the cylinder wall. Through a diagrammatic expansion we obtain first-passage time statistics for the particle's exit from the pore. Connections between the model and nucleocytoplasmic transport in cells are discussed.
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Affiliation(s)
- N A Licata
- Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187, Dresden, Germany.
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146
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Flexible gates: dynamic topologies and functions for FG nucleoporins in nucleocytoplasmic transport. EUKARYOTIC CELL 2009; 8:1814-27. [PMID: 19801417 DOI: 10.1128/ec.00225-09] [Citation(s) in RCA: 179] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
The nuclear envelope is a physical barrier between the nucleus and cytoplasm and, as such, separates the mechanisms of transcription from translation. This compartmentalization of eukaryotic cells allows spatial regulation of gene expression; however, it also necessitates a mechanism for transport between the nucleus and cytoplasm. Macromolecular trafficking of protein and RNA occurs exclusively through nuclear pore complexes (NPCs), specialized channels spanning the nuclear envelope. A novel family of NPC proteins, the FG-nucleoporins (FG-Nups), coordinates and potentially regulates NPC translocation. The extensive repeats of phenylalanine-glycine (FG) in each FG-Nup directly bind to shuttling transport receptors moving through the NPC. In addition, FG-Nups are essential components of the nuclear permeability barrier. In this review, we discuss the structural features, cellular functions, and evolutionary conservation of the FG-Nups.
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147
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Zilman A, Pearson J, Bel G. Effects of jamming on nonequilibrium transport times in nanochannels. PHYSICAL REVIEW LETTERS 2009; 103:128103. [PMID: 19792464 PMCID: PMC3604790 DOI: 10.1103/physrevlett.103.128103] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/10/2008] [Indexed: 05/07/2023]
Abstract
Many biological channels perform highly selective transport without direct input of metabolic energy and without transitions from a "closed" to an "open" state during transport. Mechanisms of selectivity of such channels serve as an inspiration for creation of artificial nanomolecular sorting devices and biosensors. To elucidate the transport mechanisms, it is important to understand the transport on the single molecule level in the experimentally relevant regime when multiple particles are crowded in the channel. In this Letter we analyze the effects of interparticle crowding on the nonequilibrium transport times through a finite-length channel by means of analytical theory and computer simulations.
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Affiliation(s)
- A Zilman
- Theoretical Biology and Biophysics Group, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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148
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Herrmann M, Neuberth N, Wissler J, Pérez J, Gradl D, Naber A. Near-field optical study of protein transport kinetics at a single nuclear pore. NANO LETTERS 2009; 9:3330-3336. [PMID: 19591452 DOI: 10.1021/nl901598z] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
The kinetics of proteins passing through individual nuclear pore complexes (NPCs) of the nuclear envelope (NE) was studied using near-field scanning optical microscopy (NSOM) in combination with fluorescence correlation spectroscopy (FCS). The NSOM probe was placed over a single pore in an unsupported native NE to observe fluorescence-labeled NTF2 moving in the transport channel. A correlation analysis of the arising fluorescence fluctuations enabled us to characterize the translocation as driven by Brownian motion and to determine the related kinetic constants. Though trapped in the pore, NTF2 turned out to be highly mobile within a large axial extension. Our findings support the idea that molecules in transit interact with NPC proteins containing phenylalanine-glycine-repeat domains at the periphery of the channel. NSOM-FCS may help to understand the facilitated translocation in more detail and offers a new way to study single molecule mobility on a nanoscale.
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Affiliation(s)
- Michael Herrmann
- DFG-Center for Functional Nanostructures (CFN), Universität Karlsruhe (TH), Wolfgang-Gaede-Strasse 1, D-76131 Karlsruhe, Germany
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149
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Kahms M, Lehrich P, Hüve J, Sanetra N, Peters R. Binding site distribution of nuclear transport receptors and transport complexes in single nuclear pore complexes. Traffic 2009; 10:1228-42. [PMID: 19548985 DOI: 10.1111/j.1600-0854.2009.00947.x] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Abstract
Transport through the nuclear pore complex (NPC) involves a large channel and an abundance of binding sites for nuclear transport receptors (NTRs). However, the mechanistically important distribution of NTR-binding sites along the channel is vividly debated. In this study, we visualized binding site distributions directly by two complementary optical super-resolution methods, single-molecule microscopy and 4Pi microscopy. First, we analyzed the distribution of RanGDP because this important nuclear transport substrate has two types of binding sites at the NPC, direct and indirect, NTR-mediated sites. We found that the direct binding sites had a maximum at approximately -30 nm with regard to the NPC center, whereas the indirect transport-relevant binding sites peaked at approximately -10 nm. The 20 nm-shift could be only resolved by 4Pi microscopy because of a two to threefold improved localization precision as compared with single-molecule microscopy. Then we analyzed the distribution of the NTR Kapbeta1 and a Kapbeta1-based transport complex and found them to have also binding maxima at approximately -10 nm. These observations support transport models in which NTR binding sites are distributed all along the transport channel and argue against models in which the cytoplasmic entrance of the channel is surrounded by a large cloud of binding sites.
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Affiliation(s)
- Martin Kahms
- Institute of Medical Physics and Biophysics, and Center for Nanotechnology (CeNTech), University of Münster, 48149 Münster, Germany
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150
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Zilman A. Effects of multiple occupancy and interparticle interactions on selective transport through narrow channels: theory versus experiment. Biophys J 2009; 96:1235-48. [PMID: 19217844 DOI: 10.1016/j.bpj.2008.09.058] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2008] [Accepted: 09/22/2008] [Indexed: 10/21/2022] Open
Abstract
Many biological and artificial transport channels function without direct input of metabolic energy during a transport event and without structural rearrangements involving transitions from a closed to an open state. Nevertheless, such channels are able to maintain efficient and selective transport. It has been proposed that attractive interactions between the transported molecules and the channel can increase the transport efficiency and that the selectivity of such channels can be based on the strength of the interaction of the specifically transported molecules with the channel. Herein, we study the transport through narrow channels in a framework of a general kinetic theory, which naturally incorporates multiparticle occupancy of the channel and non-single-file transport. We study how the transport efficiency and the probability of translocation through the channel are affected by interparticle interactions in the confined space inside the channel, and establish conditions for selective transport. We compare the predictions of the model with the available experimental data and find good semiquantitative agreement. Finally, we discuss applications of the theory to the design of artificial nanomolecular sieves.
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Affiliation(s)
- Anton Zilman
- Theoretical Biology and Biophysics Group and Center for Nonlinear Studies, Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA.
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