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Brenner S, Berger F, Rao L, Nicholas MP, Gennerich A. Force production of human cytoplasmic dynein is limited by its processivity. SCIENCE ADVANCES 2020; 6:eaaz4295. [PMID: 32285003 PMCID: PMC7141836 DOI: 10.1126/sciadv.aaz4295] [Citation(s) in RCA: 21] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/08/2019] [Accepted: 01/22/2020] [Indexed: 05/02/2023]
Abstract
Cytoplasmic dynein is a highly complex motor protein that generates forces toward the minus end of microtubules. Using optical tweezers, we demonstrate that the low processivity (ability to take multiple steps before dissociating) of human dynein limits its force generation due to premature microtubule dissociation. Using a high trap stiffness whereby the motor achieves greater force per step, we reveal that the motor's true maximal force ("stall force") is ~2 pN. Furthermore, an average force versus trap stiffness plot yields a hyperbolic curve that plateaus at the stall force. We derive an analytical equation that accurately describes this curve, predicting both stall force and zero-load processivity. This theoretical model describes the behavior of a kinesin motor under low-processivity conditions. Our work clarifies the true stall force and processivity of human dynein and provides a new paradigm for understanding and analyzing molecular motor force generation for weakly processive motors.
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Affiliation(s)
- Sibylle Brenner
- Department of Anatomy and Structural Biology and Gruss Lipper Biophotonics Center, Albert Einstein College of Medicine, Bronx, NY 10461, USA
| | - Florian Berger
- Laboratory of Sensory Neuroscience, The Rockefeller University, New York, NY 10065, USA
| | - Lu Rao
- Department of Anatomy and Structural Biology and Gruss Lipper Biophotonics Center, Albert Einstein College of Medicine, Bronx, NY 10461, USA
| | - Matthew P. Nicholas
- Department of Anatomy and Structural Biology and Gruss Lipper Biophotonics Center, Albert Einstein College of Medicine, Bronx, NY 10461, USA
- Medical Scientist Training Program, Albert Einstein College of Medicine, Bronx, NY 10461, USA
| | - Arne Gennerich
- Department of Anatomy and Structural Biology and Gruss Lipper Biophotonics Center, Albert Einstein College of Medicine, Bronx, NY 10461, USA
- Laboratory of Sensory Neuroscience, The Rockefeller University, New York, NY 10065, USA
- Corresponding author.
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2
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Uçar MC, Lipowsky R. Collective Force Generation by Molecular Motors Is Determined by Strain-Induced Unbinding. NANO LETTERS 2020; 20:669-676. [PMID: 31797672 DOI: 10.1021/acs.nanolett.9b04445] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
In the living cell, we encounter a large variety of motile processes such as organelle transport and cytoskeleton remodeling. These processes are driven by motor proteins that generate force by transducing chemical free energy into mechanical work. In many cases, the molecular motors work in teams to collectively generate larger forces. Recent optical trapping experiments on small teams of cytoskeletal motors indicated that the collectively generated force increases with the size of the motor team but that this increase depends on the motor type and on whether the motors are studied in vitro or in vivo. Here, we use the theory of stochastic processes to describe the motion of N motors in a stationary optical trap and to compute the N-dependence of the collectively generated forces. We consider six distinct motor types, two kinesins, two dyneins, and two myosins. We show that the force increases always linearly with N but with a prefactor that depends on the performance of the single motor. Surprisingly, this prefactor increases for weaker motors with a lower stall force. This counter-intuitive behavior reflects the increased probability with which stronger motors detach from the filament during strain generation. Our theoretical results are in quantitative agreement with experimental data on small teams of kinesin-1 motors.
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Affiliation(s)
- Mehmet Can Uçar
- Institute of Science and Technology Austria , Am Campus 1 , 3400 Klosterneuburg , Austria
- Max Planck Institute of Colloids and Interfaces , Am Mühlenberg 1 , 14476 Potsdam , Germany
| | - Reinhard Lipowsky
- Max Planck Institute of Colloids and Interfaces , Am Mühlenberg 1 , 14476 Potsdam , Germany
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3
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Jia Y, Xuan M, Feng X, Duan L, Li J, Li J. Reconstitution of Motor Proteins through Molecular Assembly. CHINESE J CHEM 2019. [DOI: 10.1002/cjoc.201900382] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/14/2022]
Affiliation(s)
- Yi Jia
- Beijing National Laboratory for Molecular Sciences, CAS Key Lab of Colloid, Interface and Chemical Thermodynamics, Institute of Chemistry, Chinese Academy of Sciences Beijing 100190 China
| | - Mingjun Xuan
- Beijing National Laboratory for Molecular Sciences, CAS Key Lab of Colloid, Interface and Chemical Thermodynamics, Institute of Chemistry, Chinese Academy of Sciences Beijing 100190 China
| | - Xiyun Feng
- Yunnan Normal University Kunming Yunnan 650500 China
| | - Li Duan
- Northwest Institute of Nuclear Technology Xi'an Shaanxi 710024 China
| | - Jieling Li
- Beijing National Laboratory for Molecular Sciences, CAS Key Lab of Colloid, Interface and Chemical Thermodynamics, Institute of Chemistry, Chinese Academy of Sciences Beijing 100190 China
| | - Junbai Li
- Beijing National Laboratory for Molecular Sciences, CAS Key Lab of Colloid, Interface and Chemical Thermodynamics, Institute of Chemistry, Chinese Academy of Sciences Beijing 100190 China
- University of Chinese Academy of Sciences Beijing 100049 China
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4
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Shin K, Song S, Song YH, Hahn S, Kim JH, Lee G, Jeong IC, Sung J, Lee KT. Anomalous Dynamics of in Vivo Cargo Delivery by Motor Protein Multiplexes. J Phys Chem Lett 2019; 10:3071-3079. [PMID: 31117686 DOI: 10.1021/acs.jpclett.9b01106] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Vesicle transport conducted by motor protein multiplexes (MPMs), which is ubiquitous among eukaryotes, shows anomalous and stochastic dynamics qualitatively different from the dynamics of thermal motion and artificial active matter; the relationship between in vivo vesicle-delivery dynamics and the underlying physicochemical processes is not yet quantitatively understood. Addressing this issue, we perform accurate tracking of individual vesicles, containing upconverting nanoparticles, transported by kinesin-dynein-multiplexes along axonal microtubules. The mean-square-displacement of vesicles along the microtubule exhibits unusual dynamic phase transitions that are seemingly inconsistent with the scaling behavior of the mean-first-passage time over the travel length. These paradoxical results and the vesicle displacement distribution are quantitatively explained and predicted by a multimode MPM model, developed in the current work, where ATP-hydrolysis-coupled motion of MPM has both unidirectional and bidirectional modes.
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Affiliation(s)
- Kyujin Shin
- Department of Chemistry, School of Physics and Chemistry , Gwangju Institute of Science and Technology (GIST) , Gwangju 61005 , Korea
| | - Sanggeun Song
- Creative Research Initiative Center for Chemical Dynamics in Living Cells , Chung-Ang University , Seoul 06974 , Korea
- Department of Chemistry , Chung-Ang University , Seoul 06974 , Korea
- National Institute of Innovative Functional Imaging , Chung-Ang University , Seoul 06974 , Korea
| | - Yo Han Song
- Department of Chemistry, School of Physics and Chemistry , Gwangju Institute of Science and Technology (GIST) , Gwangju 61005 , Korea
| | - Seungsoo Hahn
- Creative Research Initiative Center for Chemical Dynamics in Living Cells , Chung-Ang University , Seoul 06974 , Korea
- Da Vinci College of General Education , Chung-Ang University , Seoul 06974 , Korea
| | - Ji-Hyun Kim
- Creative Research Initiative Center for Chemical Dynamics in Living Cells , Chung-Ang University , Seoul 06974 , Korea
| | - Gibok Lee
- Department of Chemistry, School of Physics and Chemistry , Gwangju Institute of Science and Technology (GIST) , Gwangju 61005 , Korea
| | - In-Chun Jeong
- Creative Research Initiative Center for Chemical Dynamics in Living Cells , Chung-Ang University , Seoul 06974 , Korea
- Department of Chemistry , Chung-Ang University , Seoul 06974 , Korea
- National Institute of Innovative Functional Imaging , Chung-Ang University , Seoul 06974 , Korea
| | - Jaeyoung Sung
- Creative Research Initiative Center for Chemical Dynamics in Living Cells , Chung-Ang University , Seoul 06974 , Korea
- Department of Chemistry , Chung-Ang University , Seoul 06974 , Korea
- National Institute of Innovative Functional Imaging , Chung-Ang University , Seoul 06974 , Korea
| | - Kang Taek Lee
- Department of Chemistry, School of Physics and Chemistry , Gwangju Institute of Science and Technology (GIST) , Gwangju 61005 , Korea
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5
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Liu H, Ye Z, Wang X, Wei L, Xiao L. Molecular and living cell dynamic assays with optical microscopy imaging techniques. Analyst 2019; 144:859-871. [PMID: 30444498 DOI: 10.1039/c8an01420e] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
Generally, the message elucidated by the conventional analytical methods overlooks the heterogeneity of single objects, where the behavior of individual molecules is shielded. With the advent of optical microscopy imaging techniques, it is possible to identify, visualize and track individual molecules or nanoparticles under a biological environment with high temporal and spatial resolution. In this work, we summarize the commonly adopted optical microscopy techniques for bio-analytical assays in living cells, including total internal reflection fluorescence microscopy (TIRFM), super-resolution optical microscopy (SRM), and dark-field optical microscopy (DFM). The basic principles of these methods and some recent interesting applications in molecular detection and single-particle tracking are introduced. Moreover, the development in high-dimensional optical microscopy to achieve three-dimensional (3-D) as well as sub-diffraction localization and tracking of biomolecules is also highlighted.
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Affiliation(s)
- Hua Liu
- State Key Laboratory of Medicinal Chemical Biology, Tianjin Key Laboratory of Biosensing and Molecular Recognition, College of Chemistry, Nankai University, Tianjin, 300071, China.
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6
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Maffeo C, Chou HY, Aksimentiev A. Molecular Mechanisms of DNA Replication and Repair Machinery: Insights from Microscopic Simulations. ADVANCED THEORY AND SIMULATIONS 2019; 2:1800191. [PMID: 31728433 PMCID: PMC6855400 DOI: 10.1002/adts.201800191] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2018] [Indexed: 12/15/2022]
Abstract
Reproduction, the hallmark of biological activity, requires making an accurate copy of the genetic material to allow the progeny to inherit parental traits. In all living cells, the process of DNA replication is carried out by a concerted action of multiple protein species forming a loose protein-nucleic acid complex, the replisome. Proofreading and error correction generally accompany replication but also occur independently, safeguarding genetic information through all phases of the cell cycle. Advances in biochemical characterization of intracellular processes, proteomics and the advent of single-molecule biophysics have brought about a treasure trove of information awaiting to be assembled into an accurate mechanistic model of the DNA replication process. In this review, we describe recent efforts to model elements of DNA replication and repair processes using computer simulations, an approach that has gained immense popularity in many areas of molecular biophysics but has yet to become mainstream in the DNA metabolism community. We highlight the use of diverse computational methods to address specific problems of the fields and discuss unexplored possibilities that lie ahead for the computational approaches in these areas.
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Affiliation(s)
- Christopher Maffeo
- Department of Physics, Center for the Physics of Living Cells, University of Illinois at Urbana-Champaign,1110 W Green St, Urbana, IL 61801, USA
| | - Han-Yi Chou
- Department of Physics, Center for the Physics of Living Cells, University of Illinois at Urbana-Champaign,1110 W Green St, Urbana, IL 61801, USA
| | - Aleksei Aksimentiev
- Department of Physics, Center for the Physics of Living Cells, University of Illinois at Urbana-Champaign,1110 W Green St, Urbana, IL 61801, USA
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7
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Carnes SK, Aiken C. Host proteins involved in microtubule-dependent HIV-1 intracellular transport and uncoating. Future Virol 2019. [DOI: 10.2217/fvl-2019-0004] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Abstract
Microtubules and microtubule-associated proteins are critical for cargo transport throughout the cell. Many viruses are able to usurp these transport systems for their own replication and spread. HIV-1 utilizes these proteins for many of its early events postentry, including transport, uncoating and reverse transcription. The molecular motor proteins dynein and kinesin-1 are the primary drivers of cargo transport, and HIV-1 utilizes these proteins for infection. In this Review, we highlight recent developments in the understanding of how HIV-1 hijacks motor transport, the key cellular and viral proteins involved, and the ways that transport influences other steps in the HIV-1 lifecycle.
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Affiliation(s)
- Stephanie K Carnes
- Department of Pathology, Microbiology, & Immunology, Vanderbilt University Medical Center, Nashville, TN 37212, USA
| | - Christopher Aiken
- Department of Pathology, Microbiology, & Immunology, Vanderbilt University Medical Center, Nashville, TN 37212, USA
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8
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Uçar MC, Lipowsky R. Force sharing and force generation by two teams of elastically coupled molecular motors. Sci Rep 2019; 9:454. [PMID: 30679693 PMCID: PMC6345805 DOI: 10.1038/s41598-018-37126-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2018] [Accepted: 11/30/2018] [Indexed: 01/06/2023] Open
Abstract
Many active cellular processes such as long-distance cargo transport, spindle organization, as well as flagellar and ciliary beating are driven by molecular motors. These motor proteins act collectively and typically work in small teams. One particularly interesting example is two teams of antagonistic motors that pull a common cargo into opposite directions, thereby generating mutual interaction forces. Important issues regarding such multiple motor systems are whether or not motors from the same team share their load equally, and how the collectively generated forces depend on the single motor properties. Here we address these questions by introducing a stochastic model for cargo transport by an arbitrary number of elastically coupled molecular motors. We determine the state space of this motor system and show that this space has a rather complex and nested structure, consisting of multiple activity states and a large number of elastic substates, even for the relatively small system of two identical motors working against one antagonistic motor. We focus on this latter case because it represents the simplest tug-of-war that involves force sharing between motors from the same team. We show that the most likely motor configuration is characterized by equal force sharing between identical motors and that the most likely separation of these motors corresponds to a single motor step. These likelihoods apply to different types of motors and to different elastic force potentials acting between the motors. Furthermore, these features are observed both in the steady state and during the initial build-up of elastic strains. The latter build-up is non-monotonic and exhibits a maximum at intermediate times, a striking consequence of mutual unbinding of the elastically coupled motors. Mutual strain-induced unbinding also reduces the magnitude of the collectively generated forces. Our computational approach is quite general and can be extended to other motor systems such as motor teams working against an optical trap or mixed teams of motors with different single motor properties.
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Affiliation(s)
- Mehmet Can Uçar
- Theory and Bio-Systems, Max Planck Institute of Colloids and Interfaces, Science Park Golm, 14424, Potsdam, Germany.
| | - Reinhard Lipowsky
- Theory and Bio-Systems, Max Planck Institute of Colloids and Interfaces, Science Park Golm, 14424, Potsdam, Germany.
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9
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Retraction of rod-like mitochondria during microtubule-dependent transport. Biosci Rep 2018; 38:BSR20180208. [PMID: 29752335 PMCID: PMC6013701 DOI: 10.1042/bsr20180208] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/25/2018] [Revised: 04/07/2018] [Accepted: 05/04/2018] [Indexed: 12/23/2022] Open
Abstract
Molecular motors play relevant roles on the regulation of mitochondria size and shape, essential properties for the cell homeostasis. In this work, we tracked single rod-shaped mitochondria with nanometer precision to explore the performance of microtubule motor teams during processive anterograde and retrograde transport. We analyzed simultaneously the organelle size and verified that mitochondria retracted during retrograde transport with their leading tip moving slower in comparison with the rear tip. In contrast, mitochondria preserved their size during anterograde runs indicating a different performance of plus-end directed teams. These results were interpreted considering the different performance of dynein and kinesin teams and provide valuable information on the collective action of motors during mitochondria transport.
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10
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Gatterdam K, Joest EF, Dietz MS, Heilemann M, Tampé R. Super-Chelators for Advanced Protein Labeling in Living Cells. Angew Chem Int Ed Engl 2018; 57:5620-5625. [PMID: 29464841 DOI: 10.1002/anie.201800827] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/22/2018] [Revised: 02/17/2018] [Indexed: 12/17/2022]
Abstract
Live-cell labeling, super-resolution microscopy, single-molecule applications, protein localization, or chemically induced assembly are emerging approaches, which require specific and very small interaction pairs. The minimal disturbance of protein function is essential to derive unbiased insights into cellular processes. Herein, we define a new class of hexavalent N-nitrilotriacetic acid (hexaNTA) chelators, displaying the highest affinity and stability of all NTA-based small interaction pairs described so far. Coupled to bright organic fluorophores with fine-tuned photophysical properties, the super-chelator probes were delivered into human cells by chemically gated nanopores. These super-chelators permit kinetic profiling, multiplexed labeling of His6 - and His12 -tagged proteins as well as single-molecule-based super-resolution imaging.
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Affiliation(s)
- Karl Gatterdam
- Institute of Biochemistry, Biocenter, Goethe-University Frankfurt, Max-von-Laue-Str. 9, 60438, Frankfurt/M, Germany
| | - Eike F Joest
- Institute of Biochemistry, Biocenter, Goethe-University Frankfurt, Max-von-Laue-Str. 9, 60438, Frankfurt/M, Germany
| | - Marina S Dietz
- Institute of Physical and Theoretical Chemistry, Goethe-University Frankfurt, Max-von-Laue-Str. 9, 60438, Frankfurt/M, Germany
| | - Mike Heilemann
- Institute of Physical and Theoretical Chemistry, Goethe-University Frankfurt, Max-von-Laue-Str. 9, 60438, Frankfurt/M, Germany
| | - Robert Tampé
- Institute of Biochemistry, Biocenter, Goethe-University Frankfurt, Max-von-Laue-Str. 9, 60438, Frankfurt/M, Germany
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11
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Gatterdam K, Joest EF, Dietz MS, Heilemann M, Tampé R. Super-Chelators for Advanced Protein Labeling in Living Cells. Angew Chem Int Ed Engl 2018. [DOI: 10.1002/ange.201800827] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/21/2023]
Affiliation(s)
- Karl Gatterdam
- Institute of Biochemistry; Biocenter; Goethe-University Frankfurt; Max-von-Laue-Str. 9 60438 Frankfurt/M Germany
| | - Eike F. Joest
- Institute of Biochemistry; Biocenter; Goethe-University Frankfurt; Max-von-Laue-Str. 9 60438 Frankfurt/M Germany
| | - Marina S. Dietz
- Institute of Physical and Theoretical Chemistry; Goethe-University Frankfurt; Max-von-Laue-Str. 9 60438 Frankfurt/M Germany
| | - Mike Heilemann
- Institute of Physical and Theoretical Chemistry; Goethe-University Frankfurt; Max-von-Laue-Str. 9 60438 Frankfurt/M Germany
| | - Robert Tampé
- Institute of Biochemistry; Biocenter; Goethe-University Frankfurt; Max-von-Laue-Str. 9 60438 Frankfurt/M Germany
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12
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De Rossi MC, Wetzler DE, Benseñor L, De Rossi ME, Sued M, Rodríguez D, Gelfand V, Bruno L, Levi V. Mechanical coupling of microtubule-dependent motor teams during peroxisome transport in Drosophila S2 cells. Biochim Biophys Acta Gen Subj 2017; 1861:3178-3189. [PMID: 28935608 DOI: 10.1016/j.bbagen.2017.09.009] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2017] [Revised: 09/04/2017] [Accepted: 09/15/2017] [Indexed: 12/24/2022]
Abstract
BACKGROUND Intracellular transport requires molecular motors that step along cytoskeletal filaments actively dragging cargoes through the crowded cytoplasm. Here, we explore the interplay of the opposed polarity motors kinesin-1 and cytoplasmic dynein during peroxisome transport along microtubules in Drosophila S2 cells. METHODS We used single particle tracking with nanometer accuracy and millisecond time resolution to extract quantitative information on the bidirectional motion of organelles. The transport performance was studied in cells expressing a slow chimeric plus-end directed motor or the kinesin heavy chain. We also analyzed the influence of peroxisomes membrane fluidity in methyl-β-ciclodextrin treated cells. The experimental data was also confronted with numerical simulations of two well-established tug of war scenarios. RESULTS AND CONCLUSIONS The velocity distributions of retrograde and anterograde peroxisomes showed a multimodal pattern suggesting that multiple motor teams drive transport in either direction. The chimeric motors interfered with the performance of anterograde transport and also reduced the speed of the slowest retrograde team. In addition, increasing the fluidity of peroxisomes membrane decreased the speed of the slowest anterograde and retrograde teams. GENERAL SIGNIFICANCE Our results support the existence of a crosstalk between opposed-polarity motor teams. Moreover, the slowest teams seem to mechanically communicate with each other through the membrane to trigger transport.
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Affiliation(s)
- María Cecilia De Rossi
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Química Biológica, Laboratorio de Dinámica Intracelular, Buenos Aires, Argentina; CONICET-Universidad de Buenos Aires, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales (IQUIBICEN), Buenos Aires, Argentina
| | - Diana E Wetzler
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Química Biológica, Laboratorio de Dinámica Intracelular, Buenos Aires, Argentina; CONICET-Universidad de Buenos Aires, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales (IQUIBICEN), Buenos Aires, Argentina
| | - Lorena Benseñor
- Fundación Instituto Leloir, CONICET, Buenos Aires, Argentina
| | - María Emilia De Rossi
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales y Ciclo Básico Común, Buenos Aires, Argentina; CONICET-Universidad de Buenos Aires, Instituto de Astronomía y Física del Espacio (IAFE), Buenos Aires, Argentina
| | - Mariela Sued
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Instituto de Cálculo, Buenos Aires, Argentina
| | - Daniela Rodríguez
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Instituto de Cálculo, Buenos Aires, Argentina
| | - Vladimir Gelfand
- Department of Cell and Molecular Biology, Feinberg School of Medicine, Northwestern University, Chicago, IL 60611, USA
| | - Luciana Bruno
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Buenos Aires, Argentina; CONICET-Universidad de Buenos Aires, Instituto de Física de Buenos Aires (IFIBA), Buenos Aires, Argentina.
| | - Valeria Levi
- Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Química Biológica, Laboratorio de Dinámica Intracelular, Buenos Aires, Argentina; CONICET-Universidad de Buenos Aires, Instituto de Química Biológica de la Facultad de Ciencias Exactas y Naturales (IQUIBICEN), Buenos Aires, Argentina.
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Becher A, Eiseler T, Porzner M, Walther P, Keil R, Bobrovich S, Hatzfeld M, Seufferlein T. The armadillo protein p0071 controls KIF3 motor transport. J Cell Sci 2017; 130:3374-3387. [PMID: 28808088 DOI: 10.1242/jcs.200170] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/30/2016] [Accepted: 08/02/2017] [Indexed: 01/17/2023] Open
Abstract
We here report a novel function of the armadillo protein p0071 (also known as PKP4) during transport mediated by the KIF3 transport complex. Secretion of chromogranin A and matrix metallopeptidase 9 from pancreatic neuroendocrine tumor cells or pancreatic cancer cells, respectively, was substantially reduced following knockdown of p0071. Vesicle tracking indicated that there was impaired directional persistence of vesicle movement upon p0071 depletion. This suggests a disturbed balance between plus- and minus-end directed microtubule transport in cells lacking p0071. p0071 directly interacts with the KIF3 motor subunit KIF3B. Our data indicate that p0071 also interacts with the kinesin cargo adaptor protein KAP3 (also known as KIFAP3) acting as a stabilizing linker between KIF3B and its KAP3 cargo-binding entity. Thus, p0071 is required for directional vesicle movement and secretion of different KIF3-transported carriers, thereby regulating the transport of intracellular membrane vesicles along microtubules.
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Affiliation(s)
- Alexander Becher
- Department of Internal Medicine I, Ulm University, Albert-Einstein-Allee 23, 89081 Ulm, Germany
| | - Tim Eiseler
- Department of Internal Medicine I, Ulm University, Albert-Einstein-Allee 23, 89081 Ulm, Germany
| | - Marc Porzner
- Department of Internal Medicine I, Ulm University, Albert-Einstein-Allee 23, 89081 Ulm, Germany
| | - Paul Walther
- Central Facility for Electron Microscopy, Ulm University, Albert-Einstein-Allee 11, 89081, Ulm, Germany
| | - René Keil
- Institute of Molecular Medicine, Division of Pathobiochemistry, Martin-Luther-University of Halle-Wittenberg, D-06114 Halle, Germany
| | - Susanne Bobrovich
- Department of Internal Medicine I, Ulm University, Albert-Einstein-Allee 23, 89081 Ulm, Germany
| | - Mechthild Hatzfeld
- Institute of Molecular Medicine, Division of Pathobiochemistry, Martin-Luther-University of Halle-Wittenberg, D-06114 Halle, Germany
| | - Thomas Seufferlein
- Department of Internal Medicine I, Ulm University, Albert-Einstein-Allee 23, 89081 Ulm, Germany
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14
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Huang YF, Zhuo GY, Chou CY, Lin CH, Hsieh CL. Label-free, ultrahigh-speed, 3D observation of bidirectional and correlated intracellular cargo transport by coherent brightfield microscopy. NANOSCALE 2017; 9:6567-6574. [PMID: 28470293 DOI: 10.1039/c7nr00604g] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The investigation of intracellular transport at the molecular scale requires measurements at high spatial and temporal resolutions. We demonstrate the label-free, direct imaging and tracking of native cell vesicles in live cells at an ultrahigh spatiotemporal resolution. Using coherent brightfield (COBRI) microscopy, we monitor individual cell vesicles traveling inside the cell with nanometer spatial precision in 3D at 30 000 frames per second. The stepwise directional motion of the vesicle on the cytoskeletal track is clearly resolved. We also observe the repeated switching of the transport direction of the vesicle in a continuous trajectory. Our high-resolution measurement unveils the transient pausing and subtle bidirectional motion of the vesicle, taking place over tens of nanometers in tens of milliseconds. By tracking multiple particles simultaneously, we found strong correlations between the motions of two neighboring vesicles. Our label-free ultrahigh-speed optical imaging provides the opportunity to visualize intracellular cargo transport at the nanoscale in the microsecond timescale with minimal perturbation.
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Affiliation(s)
- Yi-Fan Huang
- Institute of Atomic and Molecular Sciences, Academia Sinica, 10617 Taipei, Taiwan.
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15
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Norregaard K, Metzler R, Ritter CM, Berg-Sørensen K, Oddershede LB. Manipulation and Motion of Organelles and Single Molecules in Living Cells. Chem Rev 2017; 117:4342-4375. [PMID: 28156096 DOI: 10.1021/acs.chemrev.6b00638] [Citation(s) in RCA: 114] [Impact Index Per Article: 14.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The biomolecule is among the most important building blocks of biological systems, and a full understanding of its function forms the scaffold for describing the mechanisms of higher order structures as organelles and cells. Force is a fundamental regulatory mechanism of biomolecular interactions driving many cellular processes. The forces on a molecular scale are exactly in the range that can be manipulated and probed with single molecule force spectroscopy. The natural environment of a biomolecule is inside a living cell, hence, this is the most relevant environment for probing their function. In vivo studies are, however, challenged by the complexity of the cell. In this review, we start with presenting relevant theoretical tools for analyzing single molecule data obtained in intracellular environments followed by a description of state-of-the art visualization techniques. The most commonly used force spectroscopy techniques, namely optical tweezers, magnetic tweezers, and atomic force microscopy, are described in detail, and their strength and limitations related to in vivo experiments are discussed. Finally, recent exciting discoveries within the field of in vivo manipulation and dynamics of single molecule and organelles are reviewed.
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Affiliation(s)
- Kamilla Norregaard
- Cluster for Molecular Imaging, Department of Biomedical Science and Department of Clinical Physiology, Nuclear Medicine and PET, Rigshospitalet, University of Copenhagen , 2200 Copenhagen, Denmark
| | - Ralf Metzler
- Institute for Physics & Astronomy, University of Potsdam , 14476 Potsdam-Golm, Germany
| | - Christine M Ritter
- Niels Bohr Institute, University of Copenhagen , 2100 Copenhagen, Denmark
| | | | - Lene B Oddershede
- Niels Bohr Institute, University of Copenhagen , 2100 Copenhagen, Denmark
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16
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Uçar MC, Lipowsky R. Tug-of-war between two elastically coupled molecular motors: a case study on force generation and force balance. SOFT MATTER 2017; 13:328-344. [PMID: 27910992 DOI: 10.1039/c6sm01853j] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Intracellular transport is performed by molecular motors that pull cargos along cytoskeletal filaments. Many cellular cargos are observed to move bidirectionally, with fast transport in both directions. This behaviour can be understood as a stochastic tug-of-war between two teams of antagonistic motors. The first theoretical model for such a tug-of-war, the Müller-Klumpp-Lipowsky (MKL) model, was based on two simplifying assumptions: (i) both motor teams move with the same velocity in the direction of the stronger team, and (ii) this velocity matching and the associated force balance arise immediately after the rebinding of an unbound motor to the filament. In this study, we extend the MKL model by including an elastic coupling between the antagonistic motors, and by allowing the motors to perform discrete motor steps. Each motor step changes the elastic interaction forces experienced by the motors. In order to elucidate the basic concepts of force balance and force fluctuations, we focus on the simplest case of two antagonistic motors, one kinesin against one dynein. We calculate the probability distribution for the spatial separation of the motors and the dependence of this distribution on the motors' unbinding rate. We also compute the probability distribution for the elastic interaction forces experienced by the motors, which determines the average elastic force 〈F〉 and the standard deviation of the force fluctuations around this average value. The average force 〈F〉 is found to decrease monotonically with increasing unbinding rate ε0. The behaviour of the MKL model is recovered in the limit of small ε0. In the opposite limit of large ε0, 〈F〉 is found to decay to zero as 1/ε0. Finally, we study the limiting case with ε0 = 0 for which we determine both the force statistics and the time needed to attain the steady state. Our theoretical predictions are accessible to experimental studies of in vitro systems consisting of two antagonistic motors attached to a synthetic scaffold or crosslinked via DNA hybridization.
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Affiliation(s)
- Mehmet Can Uçar
- Max Planck Institute of Colloids and Interfaces, 14476 Potsdam, Germany.
| | - Reinhard Lipowsky
- Max Planck Institute of Colloids and Interfaces, 14476 Potsdam, Germany.
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17
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Deng Y, Asbury CL. Simultaneous Manipulation and Super-Resolution Fluorescence Imaging of Individual Kinetochores Coupled to Microtubule Tips. Methods Mol Biol 2017; 1486:437-467. [PMID: 27844439 PMCID: PMC5376289 DOI: 10.1007/978-1-4939-6421-5_17] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
Abstract
Kinetochores are large multiprotein complexes that drive mitotic chromosome movements by mechanically coupling them to the growing and shortening tips of spindle microtubules. Kinetochores are also regulatory hubs, somehow sensing when they are erroneously attached and, in response, releasing their incorrect attachments and generating diffusible wait signals to delay anaphase until proper attachments can form. The remarkable ability of a kinetochore to sense and respond to its attachment status might stem from attachment- or tension-dependent changes in the structural arrangement of its core subcomplexes. However, direct tests of the relationship between attachment, tension, and core kinetochore structure have not previously been possible because of the difficulties of applying well-controlled forces and determining unambiguously the attachment status of individual kinetochores in vivo. The recent purification of native yeast kinetochores has enabled in vitro optical trapping-based assays of kinetochore tip-coupling and, in separate experiments, fluorescence imaging of single kinetochore particles. Here we introduce a dual instrument, combining optical trapping with multicolor total internal reflection fluorescence (TIRF) imaging, to allow kinetochore structure to be monitored directly with nanometer precision while mechanical tension is simultaneously applied. Our instrument incorporates differential interference contrast (DIC) imaging as well, to minimize the photo-bleaching of fluorescent tags during preparative bead and microtubule manipulations. A simple modification also allows the trapping laser to be easily converted into a real-time focus detection and correction system. Using this combined instrument, the distance between specific subcomplexes within a single kinetochore particle can be measured with 2-nm precision after 50 s observation time, or with 11-nm precision at 1 s temporal resolution. While our instrument was constructed specifically for studying kinetochores, it should also be useful for studying other filament-binding protein complexes, such as spindle poles, cortical microtubule attachments, focal adhesions, or other motor-cytoskeletal junctions.
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Affiliation(s)
- Yi Deng
- Department of Physiology & Biophysics, University of Washington, 1959 NE Pacific Street, Box 357290, Seattle, WA, 98195, USA
| | - Charles L Asbury
- Department of Physiology & Biophysics, University of Washington, 1959 NE Pacific Street, Box 357290, Seattle, WA, 98195, USA.
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18
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Monachino E, Spenkelink LM, van Oijen AM. Watching cellular machinery in action, one molecule at a time. J Cell Biol 2016; 216:41-51. [PMID: 27979907 PMCID: PMC5223611 DOI: 10.1083/jcb.201610025] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/09/2016] [Revised: 11/24/2016] [Accepted: 11/29/2016] [Indexed: 12/03/2022] Open
Abstract
Monachino et al. review recent developments in single-molecule biophysical approaches and the cell biological advances they allow. Single-molecule manipulation and imaging techniques have become important elements of the biologist’s toolkit to gain mechanistic insights into cellular processes. By removing ensemble averaging, single-molecule methods provide unique access to the dynamic behavior of biomolecules. Recently, the use of these approaches has expanded to the study of complex multiprotein systems and has enabled detailed characterization of the behavior of individual molecules inside living cells. In this review, we provide an overview of the various force- and fluorescence-based single-molecule methods with applications both in vitro and in vivo, highlighting these advances by describing their applications in studies on cytoskeletal motors and DNA replication. We also discuss how single-molecule approaches have increased our understanding of the dynamic behavior of complex multiprotein systems. These methods have shown that the behavior of multicomponent protein complexes is highly stochastic and less linear and deterministic than previously thought. Further development of single-molecule tools will help to elucidate the molecular dynamics of these complex systems both inside the cell and in solutions with purified components.
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Affiliation(s)
- Enrico Monachino
- Centre for Medical and Molecular Bioscience, Illawarra Health and Medical Research Institute and University of Wollongong, New South Wales 2522, Australia.,Zernike Institute for Advanced Materials, University of Groningen, Groningen 9747 AG, Netherlands
| | - Lisanne M Spenkelink
- Centre for Medical and Molecular Bioscience, Illawarra Health and Medical Research Institute and University of Wollongong, New South Wales 2522, Australia.,Zernike Institute for Advanced Materials, University of Groningen, Groningen 9747 AG, Netherlands
| | - Antoine M van Oijen
- Centre for Medical and Molecular Bioscience, Illawarra Health and Medical Research Institute and University of Wollongong, New South Wales 2522, Australia
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19
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Sarshar M, Lu T, Anvari B. Combined optical micromanipulation and interferometric topography (COMMIT). BIOMEDICAL OPTICS EXPRESS 2016; 7:1365-74. [PMID: 27446661 PMCID: PMC4929647 DOI: 10.1364/boe.7.001365] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/28/2015] [Revised: 03/09/2016] [Accepted: 03/14/2016] [Indexed: 05/13/2023]
Abstract
Optical tweezers have emerged as a prominent light-based tool for pico-Newton (pN) force microscopy in mechanobiological studies. However, the efficacy of optical tweezers are limited in applications where concurrent metrology of the nano-sized structures under interrogation is essential to the quantitative analysis of its mechanical properties and various mechanotransduction events. We have developed an all-optical platform delivering pN force resolution in parallel with nano-scale structural imaging of the biological sample by combining optical tweezers with interferometric quantitative phase microscopy. These capabilities allow real-time micromanipulation and label-free measurement of sample's nanostructures and nanomechanical responses, opening avenues to a wide range of new research possibilities and applications in biology.
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20
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Rezaul K, Gupta D, Semenova I, Ikeda K, Kraikivski P, Yu J, Cowan A, Zaliapin I, Rodionov V. Engineered Tug-of-War Between Kinesin and Dynein Controls Direction of Microtubule Based Transport In Vivo. Traffic 2016; 17:475-86. [PMID: 26843027 DOI: 10.1111/tra.12385] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/28/2015] [Revised: 02/01/2016] [Accepted: 02/01/2016] [Indexed: 01/19/2023]
Abstract
Bidirectional transport of membrane organelles along microtubules (MTs) is driven by plus-end directed kinesins and minus-end directed dynein bound to the same cargo. Activities of opposing MT motors produce bidirectional movement of membrane organelles and cytoplasmic particles along MT transport tracks. Directionality of MT-based transport might be controlled by a protein complex that determines which motor type is active at any given moment of time, or determined by the outcome of a tug-of-war between MT motors dragging cargo organelles in opposite directions. However, evidence in support of each mechanisms of regulation is based mostly on the results of theoretical analyses or indirect experimental data. Here, we test whether the direction of movement of membrane organelles in vivo can be controlled by the tug-of-war between opposing MT motors alone, by attaching a large number of kinesin-1 motors to organelles transported by dynein to minus-ends of MTs. We find that recruitment of kinesin significantly reduces the length and velocity of minus-end-directed dynein-dependent MT runs, leading to a reversal of the overall direction of dynein-driven organelles in vivo. Therefore, in the absence of external regulators tug-of-war between opposing MT motors alone is sufficient to determine the directionality of MT transport in vivo.
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Affiliation(s)
- Karim Rezaul
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
| | - Dipika Gupta
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
| | - Irina Semenova
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
| | - Kazuho Ikeda
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA.,Current address: Quantitative Biology Center, RIKEN, Osaka 565-0874, Japan
| | - Pavel Kraikivski
- Department of Biological Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0406, USA
| | - Ji Yu
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
| | - Ann Cowan
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
| | - Ilya Zaliapin
- Department of Mathematics and Statistics, University of Nevada-Reno, Reno, NV 89557, USA
| | - Vladimir Rodionov
- R.D.Berlin Center for Cell Analysis and Modeling, and Department of Cell Biology, UConn Health, 400 Farmington Avenue, Farmington, CT 06030-6406, USA
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21
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McLaughlin RT, Diehl MR, Kolomeisky AB. Collective dynamics of processive cytoskeletal motors. SOFT MATTER 2016; 12:14-21. [PMID: 26444155 PMCID: PMC4684438 DOI: 10.1039/c5sm01609f] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
Major cellular processes are supported by various biomolecular motors that usually operate together as teams. We present an overview of the collective dynamics of processive cytokeletal motor proteins based on recent experimental and theoretical investigations. Experimental studies show that multiple motors function with different degrees of cooperativity, ranging from negative to positive. This effect depends on the mechanical properties of individual motors, the geometry of their connections, and the surrounding cellular environment. Theoretical models based on stochastic approaches underline the importance of intermolecular interactions, the properties of single motors, and couplings with cellular medium in predicting the collective dynamics. We discuss several features that specify the cooperativity in motor proteins. Based on this approach a general picture of collective dynamics of motor proteins is formulated, and the future directions and challenges are discussed.
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Affiliation(s)
- R Tyler McLaughlin
- Rice University, Systems, Synthetic, and Physical Biology, Houston, TX 77005, USA and Rice University, Department of Bioengineering, Houston, TX 77005, USA
| | - Michael R Diehl
- Rice University, Systems, Synthetic, and Physical Biology, Houston, TX 77005, USA and Rice University, Department of Bioengineering, Houston, TX 77005, USA
| | - Anatoly B Kolomeisky
- Rice University, Systems, Synthetic, and Physical Biology, Houston, TX 77005, USA and Rice University, Department of Chemistry, Houston, TX 77005, USA.
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22
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De Rossi MC, De Rossi ME, Sued M, Rodríguez D, Bruno L, Levi V. Asymmetries in kinesin-2 and cytoplasmic dynein contributions to melanosome transport. FEBS Lett 2015; 589:2763-8. [DOI: 10.1016/j.febslet.2015.07.038] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2015] [Revised: 07/17/2015] [Accepted: 07/20/2015] [Indexed: 10/23/2022]
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23
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Norregaard K, Jauffred L, Berg-Sørensen K, Oddershede LB. Optical manipulation of single molecules in the living cell. Phys Chem Chem Phys 2015; 16:12614-24. [PMID: 24651890 DOI: 10.1039/c4cp00208c] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Abstract
Optical tweezers are the only nano-tools capable of manipulating and performing force-measurements on individual molecules and organelles within the living cell without performing destructive penetration through the cell wall and without the need for inserting a non-endogenous probe. Here, we describe how optical tweezers are used to manipulate individual molecules and perform accurate force and distance measurements within the complex cytoplasm of the living cell. Optical tweezers can grab individual molecules or organelles, if their optical contrast to the medium is large enough, as is the case, e.g., for lipid granules or chromosomes. However, often the molecule of interest is specifically attached to a handle manipulated by the optical trap. The most commonly used handles, their insertion into the cytoplasm, and the relevant micro-rheology of the cell are discussed here and we also review recent and exciting results achieved through optical force manipulation of individual molecules in vivo.
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24
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Berger F, Keller C, Klumpp S, Lipowsky R. External forces influence the elastic coupling effects during cargo transport by molecular motors. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:022701. [PMID: 25768525 DOI: 10.1103/physreve.91.022701] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/01/2014] [Indexed: 06/04/2023]
Abstract
Cellular transport is achieved by the cooperative action of molecular motors which are elastically linked to a common cargo. When the motors pull on the cargo at the same time, they experience fluctuating elastic strain forces induced by the stepping of the other motors. These elastic coupling forces can influence the motors' stepping and unbinding behavior and thereby the ability to transport cargos. Based on a generic single motor description, we introduce a framework that explains the response of two identical molecular motors to a constant external force. In particular, we relate the single motor parameters, the coupling strength and the external load force to the dynamics of the motor pair. We derive four distinct transport regimes and determine how the crossover lines between the regimes depend on the load force. Our description of the overall cargo dynamics takes into account relaxational displacements of the cargo caused by the unbinding of one motor. For large forces and weak elastic coupling these back-shifts dominate the displacements. To develop an intuitive understanding about motor cooperativity during cargo transport, we introduce a time scale for load sharing. This time scale allows us to predict how the regulation of single motor parameters influences the cooperativity. As an example, we show that up-regulating the single motor processivity enhances load sharing of the motor pair.
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Affiliation(s)
- Florian Berger
- Theory & Bio-Systems, Max Planck Institute of Colloids and Interfaces, 14424 Potsdam, Germany
| | - Corina Keller
- Theory & Bio-Systems, Max Planck Institute of Colloids and Interfaces, 14424 Potsdam, Germany
| | - Stefan Klumpp
- Theory & Bio-Systems, Max Planck Institute of Colloids and Interfaces, 14424 Potsdam, Germany
| | - Reinhard Lipowsky
- Theory & Bio-Systems, Max Planck Institute of Colloids and Interfaces, 14424 Potsdam, Germany
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