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Xie P. Modeling Studies of the Mechanism of Context-Dependent Bidirectional Movements of Kinesin-14 Motors. Molecules 2024; 29:1792. [PMID: 38675612 PMCID: PMC11055046 DOI: 10.3390/molecules29081792] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2024] [Revised: 04/09/2024] [Accepted: 04/12/2024] [Indexed: 04/28/2024] Open
Abstract
Kinesin-14s, a subfamily of the large superfamily of kinesin motor proteins, function mainly in spindle assembly and maintenance during mitosis and meiosis. KlpA from Aspergillus nidulans and GiKIN14a from Giardia intestinalis are two types of kinesin-14s. Available experimental results puzzlingly showed that while KlpA moves preferentially toward the minus end in microtubule-gliding setups and inside parallel microtubule overlaps, it moves preferentially toward the plus end on single microtubules. More puzzlingly, the insertion of an extra polypeptide linker in the central region of the neck stalk switches the motility direction of KlpA on single microtubules to the minus end. Prior experimental results showed that GiKIN14a moves preferentially toward the minus end on single microtubules in either tailless or full-length forms. The tail not only greatly enhances the processivity but also accelerates the ATPase rate and velocity of GiKIN14a. The insertion of an extra polypeptide linker in the central region of the neck stalk reduces the ATPase rate of GiKIN14a. However, the underlying mechanism of these puzzling dynamical features for KlpA and GiKIN14a is unclear. Here, to understand this mechanism, the dynamics of KlpA and GiKIN14a were studied theoretically on the basis of the proposed model, incorporating potential changes between the kinesin head and microtubule, as well as the potential between the tail and microtubule. The theoretical results quantitatively explain the available experimental results and provide predicted results. It was found that the elasticity of the neck stalk determines the directionality of KlpA on single microtubules and affects the ATPase rate and velocity of GiKIN14a on single microtubules.
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Affiliation(s)
- Ping Xie
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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2
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Abstract
Kinesin-14s constitute a subfamily of the large superfamily of adenosine triphosphate-dependent microtubule-based motor proteins. Kinesin-14s have the motor domain at the C-terminal end of the peptide, playing key roles during spindle assembly and maintenance. Some of them are nonprocessive motors, whereas others can move processively on microtubules. Here, we take budding yeast Cik1-Kar3 and human HSET as examples to study theoretically the dynamics of the processive kinesin-14 motor moving on the single microtubule under load, the dynamics of the motor coupled with an Ndc80 protein moving on the single microtubule, the dynamics of the motor moving in microtubule arrays, and so on. The dynamics of the nonprocessive Drosophila Ncd motor is also discussed. The studies explain well the available experimental data and, moreover, provide predicted results. We show that the processive kinesin-14 motors can move efficiently in microtubule arrays toward the minus ends, and after reaching the minus ends, they can stay there stably, thus performing the function of organizing the microtubules in the bipolar spindle into polar arrays at the spindle poles.
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Affiliation(s)
- Ping Xie
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing100190, China
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3
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Xie P. Modeling processive motion of kinesin-13 MCAK and kinesin-14 Cik1-Kar3 molecular motors. Protein Sci 2021; 30:2092-2105. [PMID: 34382258 DOI: 10.1002/pro.4165] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2021] [Revised: 08/02/2021] [Accepted: 08/04/2021] [Indexed: 11/09/2022]
Abstract
Kinesin-13 MCAK, which is composed of two identical motor domains, can undergo unbiased one-dimensional diffusion on microtubules. Kinesin-14 Cik1-Kar3, which is composed of a Kar3 motor domain and a Cik1 motor homology domain with no ATPase activity, can move processively toward the minus end of microtubules. Here, we present a model for the diffusion of MCAK homodimer and a model for the processive motion of Cik1-Kar3 heterodimer. Although the two dimeric motors show different domain composition, in the models it is proposed that the two motors use the similar physical mechanism to move processively. With the models, the dynamics of the two dimers is studied analytically. The theoretical results for MCAK reproduce quantitatively the available experimental data about diffusion constant and lifetime of the motor bound to microtubule in different nucleotide states. The theoretical results for Cik1-Kar3 reproduce quantitatively the available experimental data about load dependence of velocity and explain consistently the available experimental data about effects of the exchange and mutation of the motor homology domain on the velocity of the heterodimer. Moreover, predicted results for other aspects of the dynamics of the two dimers are provided.
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Affiliation(s)
- Ping Xie
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
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4
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Shi XX, Wang PY, Chen H, Xie P. Studies of Conformational Changes of Tubulin Induced by Interaction with Kinesin Using Atomistic Molecular Dynamics Simulations. Int J Mol Sci 2021; 22:ijms22136709. [PMID: 34201478 PMCID: PMC8268240 DOI: 10.3390/ijms22136709] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/10/2021] [Revised: 06/01/2021] [Accepted: 06/08/2021] [Indexed: 01/12/2023] Open
Abstract
The transition between strong and weak interactions of the kinesin head with the microtubule, which is regulated by the change of the nucleotide state of the head, is indispensable for the processive motion of the kinesin molecular motor on the microtubule. Here, using all-atom molecular dynamics simulations, the interactions between the kinesin head and tubulin are studied on the basis of the available high-resolution structural data. We found that the strong interaction can induce rapid large conformational changes of the tubulin, whereas the weak interaction cannot. Furthermore, we found that the large conformational changes of the tubulin have a significant effect on the interaction of the tubulin with the head in the weak-microtubule-binding ADP state. The calculated binding energy of the ADP-bound head to the tubulin with the large conformational changes is only about half that of the tubulin without the conformational changes.
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Affiliation(s)
- Xiao-Xuan Shi
- School of Material Science and Engineering, Central South University of Forestry and Technology, Changsha 410004, China; (X.-X.S.); (H.C.)
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
| | - Peng-Ye Wang
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
| | - Hong Chen
- School of Material Science and Engineering, Central South University of Forestry and Technology, Changsha 410004, China; (X.-X.S.); (H.C.)
| | - Ping Xie
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
- Correspondence:
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5
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A microtubule RELION-based pipeline for cryo-EM image processing. J Struct Biol 2019; 209:107402. [PMID: 31610239 PMCID: PMC6961209 DOI: 10.1016/j.jsb.2019.10.004] [Citation(s) in RCA: 30] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/14/2019] [Revised: 10/04/2019] [Accepted: 10/07/2019] [Indexed: 12/20/2022]
Abstract
MiRP is a pipeline for processing cryo-EM images of microtubules in RELION. MiRP manages microtubule heterogeneity and pseudo-symmetry. MiRP reduces errors in angular and translational alignment. MiRP improved reconstructions from three different microtubule datasets.
Microtubules are polar filaments built from αβ-tubulin heterodimers that exhibit a range of architectures in vitro and in vivo. Tubulin heterodimers are arranged helically in the microtubule wall but many physiologically relevant architectures exhibit a break in helical symmetry known as the seam. Noisy 2D cryo-electron microscopy projection images of pseudo-helical microtubules therefore depict distinct but highly similar views owing to the high structural similarity of α- and β-tubulin. The determination of the αβ-tubulin register and seam location during image processing is essential for alignment accuracy that enables determination of biologically relevant structures. Here we present a pipeline designed for image processing and high-resolution reconstruction of cryo-electron microscopy microtubule datasets, based in the popular and user-friendly RELION image-processing package, Microtubule RELION-based Pipeline (MiRP). The pipeline uses a combination of supervised classification and prior knowledge about geometric lattice constraints in microtubules to accurately determine microtubule architecture and seam location. The presented method is fast and semi-automated, producing near-atomic resolution reconstructions with test datasets that contain a range of microtubule architectures and binding proteins.
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6
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Force Dependence of Velocity and Run Length of Kinesin-1, Kinesin-2 and Kinesin-5 Family Molecular Motors. Molecules 2019; 24:molecules24020287. [PMID: 30646587 PMCID: PMC6358798 DOI: 10.3390/molecules24020287] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/03/2018] [Revised: 01/10/2019] [Accepted: 01/11/2019] [Indexed: 11/17/2022] Open
Abstract
Kinesin-1, kinesin-2 and kinesin-5 are three families of a superfamily of motor proteins; which can walk processively on microtubule filaments by hydrolyzing ATP. It was experimentally shown that while the three kinesin dimers show similar feature on the force dependence of velocity, they show rather different features on the force dependence of run length. However, why the three families of kinesins show these rather different features is unclear. Here, we computationally studied the movement dynamics of the three dimers based on our proposed model. The simulated results reproduce well the available experimental data on the force dependence of velocity and run length. Moreover, the simulated results on the velocity and run length for the three dimers with altered neck linker lengths are also in quantitative agreement with the available experimental data. The studies indicate that the three families of kinesins show much similar movement mechanism and the rather different features on the force dependence of run length arise mainly from the difference in rate constants of the ATPase activity and neck linker docking. Additionally, the asymmetric (limping) movement dynamics of the three families of homodimers with and without altered neck linker lengths are studied, providing predicted results.
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7
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Shi XX, Fu YB, Guo SK, Wang PY, Chen H, Xie P. Investigating role of conformational changes of microtubule in regulating its binding affinity to kinesin by all-atom molecular dynamics simulation. Proteins 2018; 86:1127-1139. [PMID: 30132979 DOI: 10.1002/prot.25592] [Citation(s) in RCA: 22] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2018] [Revised: 08/05/2018] [Accepted: 08/16/2018] [Indexed: 11/08/2022]
Abstract
Changes of affinity of kinesin head to microtubule regulated by changes in the nucleotide state are essential to processive movement of kinesin on microtubule. Here, using all-atom molecular dynamics simulations we show that besides the nucleotide state, large conformational changes of microtubule-tubulin heterodimers induced by strong interaction with the head in strongly binding state are also indispensable to regulate the affinity of the head to the tubulin. In strongly binding state the high affinity of the head to microtubule arises largely from mutual conformational changes of the microtubule and head induced by the specific interaction between them via an induced-fit mechanism. Moreover, the ADP-head has a much weaker affinity to the local microtubule-tubulin, whose conformation is largely altered by the interaction with the head in strongly binding state, than to other unperturbed tubulins. This indicates that upon Pi release the ADP-head temporarily has a much weaker affinity to the local tubulin than to other tubulins.
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Affiliation(s)
- Xiao-Xuan Shi
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China.,School of Material Science and Engineering, Central South University of Forestry and Technology, Changsha, China
| | - Yi-Ben Fu
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
| | - Si-Kao Guo
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
| | - Peng-Ye Wang
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
| | - Hong Chen
- School of Materials Science and Energy Engineering, FoShan University, Guangdong, China
| | - Ping Xie
- Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, China
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8
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Dallai R, Lino-Neto J, Dias G, Nere PHA, Mercati D, Lupetti P. Fine structure of the ladybird spermatozoa (Insecta, Coleoptera, Coccinellidae). ARTHROPOD STRUCTURE & DEVELOPMENT 2018; 47:286-298. [PMID: 29635037 DOI: 10.1016/j.asd.2018.04.001] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/22/2018] [Revised: 04/03/2018] [Accepted: 04/04/2018] [Indexed: 06/08/2023]
Abstract
The sperm structure of several ladybird species belonging to different subfamilies of Coccinellidae was studied. Three main sperm types were clearly recognized, and were characterized by differences in acrosomal length, the presence of a dense coat around the acrosome, the length of the basal body, the amount of the centriole adjunct material, and the diameter of the mitochondrial derivatives. However, the whole group shares a pattern of the posterior sperm region uncommon for insects, in which the axoneme and other flagellar components are running parallel with the nucleus. As a general conclusion, this study has revealed an inconsistency between the sperm structure and the systematics of the group, indicating that the generic concepts within the group do not reflect a natural classification, a statement also shared by molecular studies.
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Affiliation(s)
- Romano Dallai
- Dipartimento Scienze della Vita, Università degli Studi di Siena, Via Aldo Moro 2, 53100 Siena, Italy.
| | - José Lino-Neto
- Departamento de Biologia Geral, Universidade Federal de Viçosa, 36570-900 Viçosa, Minas Gerais, Brazil.
| | - Glenda Dias
- Departamento de Ciências Biológicas, Universidade Federal de Ouro Preto, Campus Universitário Morro do Cruzeiro, CEP 35400-000, Ouro Preto, MG, Brazil.
| | - Pedro H A Nere
- Departamento de Biologia Geral, Universidade Federal de Viçosa, 36570-900 Viçosa, Minas Gerais, Brazil.
| | - David Mercati
- Dipartimento Scienze della Vita, Università degli Studi di Siena, Via Aldo Moro 2, 53100 Siena, Italy.
| | - Pietro Lupetti
- Dipartimento Scienze della Vita, Università degli Studi di Siena, Via Aldo Moro 2, 53100 Siena, Italy.
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9
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Guo SK, Wang PY, Xie P. Dynamics of dimeric kinesins: Limping, effect of longitudinal force, effects of neck linker extension and mutation, and comparison between kinesin-1 and kinesin-2. Int J Biol Macromol 2017; 105:1126-1137. [PMID: 28754624 DOI: 10.1016/j.ijbiomac.2017.07.147] [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: 12/12/2016] [Revised: 07/18/2017] [Accepted: 07/24/2017] [Indexed: 10/19/2022]
Abstract
Conventional kinesin (kinesin-1) can walk on microtubule filaments in an asymmetric hand-over-hand manner, exhibiting a marked alternation in the mean dwell time in successive steps. Here, we study computationally the asymmetric stepping dynamics of the kinesin-1 homodimer, revealing its origin and providing quantitative explanations of the available experimental data. The alternation in the mean dwell time in successive steps arises from the alternation in the mechanochemical coupling ratio, which is in turn caused by the alternation in the slight variation of the stretched neck linker length. Both the vertical and backward longitudinal forces can enhance the asymmetric ratio. Additionally, other aspects of the stepping dynamics of the dimer such as the velocity versus longitudinal force, extended neck linker, etc., are also studied. In particular, the conflicting experimental data, with some showing that the velocity does not change with the forward longitudinal load while others showing that the velocity increases largely with the forward longitudinal load, are explained quantitatively and consistently. The intriguing experimental data showing that cysteine-light Drosophila and human kinesin-1 mutants have different load-dependent velocity from the wild-type cases as well as that kinesin-2 dimers have different load-dependent velocity from the kinesin-1 are also explained consistently and quantitatively.
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Affiliation(s)
- Si-Kao Guo
- Key Laboratory of Soft Matter Physics and Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Peng-Ye Wang
- Key Laboratory of Soft Matter Physics and Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Ping Xie
- Key Laboratory of Soft Matter Physics and Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China.
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10
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Nogales E, Kellogg EH. Challenges and opportunities in the high-resolution cryo-EM visualization of microtubules and their binding partners. Curr Opin Struct Biol 2017. [PMID: 28628789 DOI: 10.1016/j.sbi.2017.06.003] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
Abstract
As non-crystallizable polymers, microtubules have been the target of cryo-electron microscopy (cryo-EM) studies since the technique was first established. Over the years, image processing strategies have been developed that take care of the unique, pseudo-helical symmetry of the microtubule. With recent progress in data quality and data processing, cryo-EM reconstructions are now reaching resolutions that allow the generation of atomic models of microtubules and the factors that bind them. These include cellular partners that contribute to microtubule cellular functions, or small ligands that interfere with those functions in the treatment of cancer. The stage is set to generate a family portrait for all identified microtubule interacting proteins and to use cryo-EM as a drug development tool in the targeting of tubulin.
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Affiliation(s)
- Eva Nogales
- Molecular and Cell Biology Department and QB3 Institute, University of California Berkeley, CA 94720-3220, United States; Howard Hughes Medical Institute, University of California Berkeley, CA 94720-3220, United States; Molecular Biophysics and Integrative Bioimaging, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, United States.
| | - Elizabeth H Kellogg
- Molecular Biophysics and Integrative Bioimaging, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, United States
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11
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A model of processive movement of dimeric kinesin. J Theor Biol 2016; 414:62-75. [PMID: 27899285 DOI: 10.1016/j.jtbi.2016.11.023] [Citation(s) in RCA: 32] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/12/2016] [Revised: 11/15/2016] [Accepted: 11/25/2016] [Indexed: 01/22/2023]
Abstract
Dimeric kinesin can move processively on microtubule filaments by hydrolyzing ATP. Diverse aspects of its movement dynamics have been studied extensively by using various experimental methods. However, the detailed molecular mechanism of the processive movement is still undetermined and a model that can provide a consistent and quantitative explanation of the diverse experimental data is still lacking. Here, we present such a model, with which we study the movement dynamics of the dimer under variations of solution viscosity, external load, ATP concentration, neck linker length, effect of neck linker docking, effect of a large-size particle attached to one kinesin head, etc., providing consistent and quantitative explanations of the available diverse experimental data. Moreover, predicted results are also provided.
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12
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Nogales E. An electron microscopy journey in the study of microtubule structure and dynamics. Protein Sci 2015; 24:1912-9. [PMID: 26401895 DOI: 10.1002/pro.2808] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2015] [Revised: 09/18/2015] [Accepted: 09/18/2015] [Indexed: 12/30/2022]
Abstract
Structural characterization of microtubules has been the realm of three-dimensional electron microscopy and thus has evolved hand in hand with the progress of this technique, from the initial 3D reconstructions of stained tubulin assemblies, and the first atomic model of tubulin by electron crystallography of 2D sheets of protofilaments, to the ever more detailed cryoelectron microscopy structures of frozen-hydrated microtubules. Most recently, hybrid helical and single particle image processing techniques, and the latest detector technology, have lead to atomic models built directly into the density maps of microtubules in different functional states, shading new light into the critical process of microtubule dynamic instability.
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Affiliation(s)
- Eva Nogales
- Molecular and Cell Biology Department and QB3 Institute, UC Berkeley, California, 94720.,Howard Hughes Medical Institute, UC Berkeley, California, 94720.,Life Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California, 94720
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13
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Dallai R. Overview on spermatogenesis and sperm structure of Hexapoda. ARTHROPOD STRUCTURE & DEVELOPMENT 2014; 43:257-290. [PMID: 24732045 DOI: 10.1016/j.asd.2014.04.002] [Citation(s) in RCA: 88] [Impact Index Per Article: 8.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2014] [Revised: 03/28/2014] [Accepted: 04/01/2014] [Indexed: 06/03/2023]
Abstract
The main characteristics of the sperm structure of Hexapoda are reported in the review. Data are dealing with the process of spermatogenesis, including the aberrant models giving rise to a reduced number of sperm cells. The sperm heteromorphism and the giant sperm exceeding the usual sperm size for length and width are considered. The characteristics of several components of a typical insect sperm are described: the plasma membrane and its glycocalyx, the nucleus, the centriole region and the centriole adjunct, the accessory bodies, the mitochondrial derivatives and the flagellar axoneme. Finally, a detailed description of the main sperm features of each hexapodan group is given with emphasis on the flagellar components considered to have great importance in phylogenetic considerations. This study may be also useful to those requiring an introduction to hexapod reproduction.
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Affiliation(s)
- Romano Dallai
- Department of Life Sciences, University of Siena, Via Aldo Moro 2, 53100 Siena, Italy.
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14
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Genetically separable functions of the MEC-17 tubulin acetyltransferase affect microtubule organization. Curr Biol 2012; 22:1057-65. [PMID: 22658602 DOI: 10.1016/j.cub.2012.03.066] [Citation(s) in RCA: 125] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/06/2012] [Revised: 03/19/2012] [Accepted: 03/19/2012] [Indexed: 12/28/2022]
Abstract
BACKGROUND Microtubules (MTs) are formed from the lateral association of 11-16 protofilament chains of tubulin dimers, with most cells containing 13-protofilament (13-p) MTs. How these different MTs are formed is unknown, although the number of protofilaments may depend on the nature of the α- and β-tubulins. RESULTS Here we show that the enzymatic activity of the Caenorhabiditis elegans α-tubulin acetyltransferase (α-TAT) MEC-17 allows the production of 15-p MTs in the touch receptor neurons (TRNs) MTs. Without MEC-17, MTs with between 11 and 15 protofilaments are seen. Loss of this enzymatic activity also changes the number and organization of the TRN MTs and affects TRN axonal morphology. In contrast, enzymatically inactive MEC-17 is sufficient for touch sensitivity and proper process outgrowth without correcting the MT defects. Thus, in addition to demonstrating that MEC-17 is required for MT structure and organization, our results suggest that the large number of 15-p MTs, normally found in the TRNs, is not essential for mechanosensation. CONCLUSION These experiments reveal a specific role for α-TAT in the formation of MTs and in the production of higher order MTs arrays. In addition, our results indicate that the α-TAT protein has functions that require acetyltransferase activity (such as the determination of protofilament number) and others that do not (presence of internal MT structures).
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15
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Lupetti P, Mencarelli C, Mercati D, Gaino E, Dallai R. The spermatodesm of Cloeon dipterum (L.): Fine structure and sperm movement. Tissue Cell 2011; 43:157-64. [DOI: 10.1016/j.tice.2011.01.005] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2010] [Revised: 01/20/2011] [Accepted: 01/20/2011] [Indexed: 11/24/2022]
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16
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Structural basis of interprotofilament interaction and lateral deformation of microtubules. Structure 2010; 18:1022-31. [PMID: 20696402 DOI: 10.1016/j.str.2010.05.010] [Citation(s) in RCA: 121] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/03/2010] [Revised: 04/30/2010] [Accepted: 05/11/2010] [Indexed: 11/20/2022]
Abstract
The diverse functions of microtubules require stiff structures possessing sufficient lateral flexibility to enable bending with high curvature. We used cryo-electron microscopy to investigate the molecular basis for these critical mechanical properties. High-quality structural maps were used to build pseudoatomic models of microtubules containing 11-16 protofilaments, representing a wide range of lateral curvature. Protofilaments in all these microtubules were connected primarily via interprotofilament interactions between the M loops, and the H1'-S2 and H2-S3 loops. We postulate that the tolerance of the loop-loop interactions to lateral deformation provides the capacity for high-curvature bending without breaking. On the other hand, the local molecular architecture that surrounds these connecting loops contributes to the overall rigidity. Interprotofilament interactions in the seam region are similar to those in the normal helical regions, suggesting that the existence of the seam does not significantly affect the mechanical properties of microtubules.
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17
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Xie P. Mechanism of processive movement of monomeric and dimeric kinesin molecules. Int J Biol Sci 2010; 6:665-74. [PMID: 21060728 PMCID: PMC2974169 DOI: 10.7150/ijbs.6.665] [Citation(s) in RCA: 44] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2010] [Accepted: 10/19/2010] [Indexed: 11/05/2022] Open
Abstract
Kinesin molecules are motor proteins capable of moving along microtubule by hydrolyzing ATP. They generally have several forms of construct. This review focuses on two of the most studied forms: monomers such as KIF1A (kinesin-3 family) and dimers such as conventional kinesin (kinesin-1 family), both of which can move processively towards the microtubule plus end. There now exist numerous models that try to explain how the kinesin molecules convert the chemical energy of ATP hydrolysis into the mechanical energy to "power" their processive movement along microtubule. Here, we attempt to present a comprehensive review of these models. We further propose a new hybrid model for the dimeric kinesin by combining the existing models and provide a framework for future studies in this subject.
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Affiliation(s)
- Ping Xie
- Key Laboratory of Soft Matter Physics and Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
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18
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Stepping behavior of two-headed kinesin motors. BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS 2008; 1777:1195-202. [DOI: 10.1016/j.bbabio.2008.04.040] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2008] [Revised: 04/09/2008] [Accepted: 04/23/2008] [Indexed: 11/23/2022]
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19
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Xie P, Dou SX, Wang PY. Processivity of single-headed kinesin motors. BIOCHIMICA ET BIOPHYSICA ACTA-BIOENERGETICS 2007; 1767:1418-27. [PMID: 17976515 DOI: 10.1016/j.bbabio.2007.09.006] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/08/2007] [Revised: 08/13/2007] [Accepted: 09/20/2007] [Indexed: 11/18/2022]
Abstract
The processive movement of single-headed kinesins is studied by using a ratchet model of non-Markov process, which is built on the experimental evidence that the strong binding of kinesin to microtubule in rigor state induces a large apparent change in the local microtubule conformation. In the model, the microtubule plays a crucial active role in the kinesin movement, in contrast to the previous belief that the microtubule only acts as a passive track for the kinesin motility. The unidirectional movement of single-headed kinesin is resulted from the asymmetric periodic potential between kinesin and microtubule while its processivity is determined by its binding affinity for microtubule in the weak ADP state. Using the model, various experimental results for monomeric kinesin KIF1A, such as the mean step size, the step-size distribution, the long run length and the mean velocity versus load, can be well explained quantitatively. This local conformational change of the microtubule may also play important roles in the processive movement of conventional two-headed kinesins. An experiment to verify the model is suggested.
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Affiliation(s)
- Ping Xie
- Department of Physics, Renmin University of China, Beijing 100872, China.
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20
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Grant BJ, McCammon JA, Caves LSD, Cross RA. Multivariate Analysis of Conserved Sequence–Structure Relationships in Kinesins: Coupling of the Active Site and a Tubulin-binding Sub-domain. J Mol Biol 2007; 368:1231-48. [PMID: 17399740 DOI: 10.1016/j.jmb.2007.02.049] [Citation(s) in RCA: 42] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2006] [Revised: 01/30/2007] [Accepted: 02/06/2007] [Indexed: 11/17/2022]
Abstract
An extensive computational analysis of available sequence and crystal structure data was used to identify functionally important residue interactions within the motor domain of the kinesin molecular motor. Principal component analysis revealed that all current kinesin crystal structures reside in one of two main conformations, which differ at the active site, and in the position of a microtubule-binding sub-domain relative to a rigid central core. This sub-domain consists of secondary structure elements alpha4-loop12-alpha5-loop13 and contains a conserved hydrophilic surface patch that may be involved in strong binding to microtubules. A hinge point for the sub-domain motion lies near a conserved glycine at position 292. Statistical coupling analysis revealed a network of co-evolving positions that link this region to the nucleotide-binding site, via a highly conserved histidine in the switch I loop. The data are consistent with a model in which the nucleotide status of the active site shifts kinesin between weak and strong binding conformations via reconfiguration of the identified sub-domain. Our data provide a statistically supported framework for further examination of this and other structure-function relationships in the kinesin family.
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Affiliation(s)
- Barry J Grant
- Department of Chemistry and Biochemistry, University of California, San Diego, La Jolla, CA 92093, USA.
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21
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Dallai R, Lupetti P, Mencarelli C. Unusual Axonemes of Hexapod Spermatozoa. INTERNATIONAL REVIEW OF CYTOLOGY 2006; 254:45-99. [PMID: 17147997 DOI: 10.1016/s0074-7696(06)54002-1] [Citation(s) in RCA: 44] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
Hexapod spermatozoa exhibit a great variation in their axoneme structure. The 9+2 pattern organization is present in a few basal taxa and in some derived groups. In most hexapods, a crown of nine accessory microtubules surrounds the 9+2 array, giving rise to the so-called 9+9+2 pattern. This general organization, however, displays a number of modifications in several taxa. In this review, the main variations concerning the number and localization of the accessory tubules, microtubular doublets, central microtubules, dynein arms, and axonemal length are summarized. We discuss the phylogenetic significance of all this structural information as well as the current hypotheses relating the sperm size and sperm polymorphism with reproductive success of some hexapod species. Also described are the biochemical data and the motility patterns which are currently known on some peculiar aberrant axonemes, in light of the contribution these models may give to the comprehension of the general functioning of the conventional 9+2 axoneme. Finally, we summarize methodological developments for the study of axoneme ultrastructure and the new opportunities for the molecular analysis of hexapod axonemes.
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Affiliation(s)
- Romano Dallai
- Department of Evolutionary Biology, University of Siena, Via A Moro 2, I-53100 Siena, Italy
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22
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Hirose K, Löwe J, Alonso M, Cross RA, Amos LA. 3D electron microscopy of the interaction of kinesin with tubulin. Cell Struct Funct 2004; 24:277-84. [PMID: 15216883 DOI: 10.1247/csf.24.277] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022] Open
Abstract
We have studied the structure of microtubules decorated with kinesin motor domains in different nucleotide states by 3D electron microscopy. Having docked the atomic coordinates of both dimeric ADP.kinesin and tubulin heterodimer into a map of kinesin dimers bound to microtubules in the presence of ADP, we try to predict which regions of the proteins interact in the weakly binding state. When either the presence of 5'-adenylyimidodiphosphate (AMP-PNP) or an absence of nucleotides puts motor domains into a strongly-bound state, the 3D maps show changes in the motor domains which modify their interaction with beta-tubulin. The maps also show differences in beta-tubulin conformation compared with undecorated microtubules or those decorated with weakly-bound motors. Strongly-bound ncd appears to produce an identical change.
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Affiliation(s)
- K Hirose
- Natl Inst Advanced Interdisciplinary Res, Tsukuba, Ibaraki, Japan
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23
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Abstract
We have obtained a 3D reconstruction of intact microtubules, using cryoelectron microscopy and image processing, at a resolution of about 8 A, sufficient to resolve much of the secondary structure. The level of detail in the map allows docking of the tubulin structure previously determined by electron crystallography, with very strong constraints, providing several important insights not previously available through docking tubulin into lower-resolution maps. This work provides an improved picture of the interactions between adjacent protofilaments, which are responsible for microtubule stability, and also suggests that some structural features are different in microtubules from those in the zinc sheets with which the tubulin structure was determined.
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Affiliation(s)
- Huilin Li
- Life Sciences Division, Lawrence Berkeley National Laboratory, CA 94720, USA
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24
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Sosa H, Chrétien D. Relationship between moiré patterns, tubulin shape, and microtubule polarity. CELL MOTILITY AND THE CYTOSKELETON 2000; 40:38-43. [PMID: 9605970 DOI: 10.1002/(sici)1097-0169(1998)40:1<38::aid-cm4>3.0.co;2-b] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Abstract
The polarity of microtubules is reflected in cryo-electron microscope images and in three-dimensional reconstructions [Chrétien et al., 1996: Structure 4:1031-1040; Sosa and Milligan, 1996: J. Mol. Biol. 260:743-755]. This paper shows how the directionality of the moiré patterns and the shape of the tubulin subunits are related. Microtubules observed by cryo-electron microscopy show an arrowhead moiré pattern that points toward the plus end of microtubules with a right-handed protofilament skew and toward the minus end of microtubules with a left-handed protofilament skew. On the other hand, three-dimensional reconstructions of microtubules observed from the plus end reveal a radial counterclockwise slew of the tubulin subunits. We show how these polar features are related and present unambiguous rules for determining the polarity on longitudinal and axial views of microtubules.
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Affiliation(s)
- H Sosa
- Department of Cell Biology MB25, The Scripps Research Institute, La Jolla, California, USA
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25
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Chrétien D, Fuller SD. Microtubules switch occasionally into unfavorable configurations during elongation. J Mol Biol 2000; 298:663-76. [PMID: 10788328 DOI: 10.1006/jmbi.2000.3696] [Citation(s) in RCA: 113] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Tubulin assembles to form a range of structures that differ by their protofilament and monomer helix-start numbers. The microtubule lattice is believed to accommodate these different configurations by skewing the protofilaments so that the lateral interactions between tubulin subunits are maintained. Here, we present the characterization of 14 types of microtubules, including six novel ones, through an extensive analysis of microtubules assembled in vitro from pure tubulin. Although the six new types represented only 1 % of the total length of the population examined ( approximately 17 mm), they define the limits of microtubule structure and assembly. Protofilament skewing is restricted to within +/-2 degrees. Outside this range, the restoring force induced by the skewed protofilaments is compensated by a longitudinal shift (less than +/-0.2 nm) between adjacent protofilaments. Configurations with theoretical protofilament skew angles larger than +/-4 degrees or that necessitate larger modifications of the microtubule surface lattice were not observed. Analysis of the microtubule types distribution reveals that it is sharply peaked around the less skewed conformations. These results indicate that both the flexibility of the protofilaments and the strength of their lateral interactions restrict the range of structures assembled. They also demonstrate that growing microtubules can occasionally switch into energetically unfavorable configurations, a behavior that may account for the stochastic nature of catastrophes.
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Affiliation(s)
- D Chrétien
- Equipe ATIPE, UPRES-A 6026 CNRS, Université de Rennes 1, Campus de Beaulieu Bt 13, Rennes, 35042, France.
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26
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Abstract
A good approximation of the atomic structure of a microtubule has been derived from docking the high-resolution structure of tubulin, solved by electron crystallography, into lower resolution maps of whole microtubules. Some structural interactions with other molecules, including nucleotides, drugs, motor proteins and microtubule-associated proteins, can now be predicted.
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Affiliation(s)
- L A Amos
- MRC Laboratory of Molecular Biology, Cambridge, CB2 2QH, UK.
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Hirose K, Löwe J, Alonso M, Cross RA, Amos LA. Congruent docking of dimeric kinesin and ncd into three-dimensional electron cryomicroscopy maps of microtubule-motor ADP complexes. Mol Biol Cell 1999; 10:2063-74. [PMID: 10359615 PMCID: PMC25414 DOI: 10.1091/mbc.10.6.2063] [Citation(s) in RCA: 62] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022] Open
Abstract
We present a new map showing dimeric kinesin bound to microtubules in the presence of ADP that was obtained by electron cryomicroscopy and image reconstruction. The directly bound monomer (first head) shows a different conformation from one in the more tightly bound empty state. This change in the first head is amplified as a movement of the second (tethered) head, which tilts upward. The atomic coordinates of kinesin.ADP dock into our map so that the tethered head associates with the bound head as in the kinesin dimer structure seen by x-ray crystallography. The new docking orientation avoids problems associated with previous predictions; it puts residues implicated by proteolysis-protection and mutagenesis studies near the microtubule but does not lead to steric interference between the coiled-coil tail and the microtubule surface. The observed conformational changes in the tightly bound states would probably bring some important residues closer to tubulin. As expected from the homology with kinesin, the atomic coordinates of nonclaret disjunctional protein (ncd).ADP dock in the same orientation into the attached head in a map of microtubules decorated with dimeric ncd.ADP. Our results support the idea that the observed direct interaction between the two heads is important at some stages of the mechanism by which kinesin moves processively along microtubules.
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Affiliation(s)
- K Hirose
- National Institute of Advanced Interdisciplinary Research, Higashi, Tsukuba 305-8562, Japan
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28
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Lockhart A, Kendrick-Jones J. Nucleotide-dependent interaction of the N-terminal domain of MukB with microtubules. J Struct Biol 1998; 124:303-10. [PMID: 10049813 DOI: 10.1006/jsbi.1998.4056] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The MukB protein from Escherichia coli has a domain structure that is reminiscent of the eukaryotic motor proteins kinesin and myosin: N-terminal globular domains, a region of coiled-coil, and a specialised C-terminal domain. Sequence alignment of the N-terminal domain of MukB with the kinesin motor domain indicated an approximately 22% sequence identity. These observations raised the possibility that MukB might be a prokaryotic motor protein and, due to the sequence homology shared with kinesin, might bind to microtubules (Mts). We found that a construct encoding the first 342 residues of MukB (Muk342) binds specifically to Mts and shares a number of properties with the motor domain of kinesin. Visualisation of the Muk342 decorated Mt complexes using negative stain electron microscopy indicated that the Muk342 smoothly decorates the outside of Mts. Biochemical data demonstrate that Muk342 decorates Mts with a binding stoichiometry of one Muk342 monomer per tubulin monomer. These findings strongly suggest that MukB has a role in force generation and that it is a prokaryotic homologue of kinesin and myosin.
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Affiliation(s)
- A Lockhart
- Structural Studies Division, MRC-Laboratory of Molecular Biology, Hills Road, Cambridge, CB2 2QH, United Kingdom.
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29
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Wriggers W, Schulten K. Nucleotide-dependent movements of the kinesin motor domain predicted by simulated annealing. Biophys J 1998; 75:646-61. [PMID: 9675167 PMCID: PMC1299740 DOI: 10.1016/s0006-3495(98)77555-1] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023] Open
Abstract
The structure of an ATP-bound kinesin motor domain is predicted and conformational differences relative to the known ADP-bound form of the protein are identified. The differences should be attributed to force-producing ATP hydrolysis. Candidate ATP-kinesin structures were obtained by simulated annealing, by placement of the ATP gamma-phosphate in the crystal structure of ADP-kinesin, and by interatomic distance constraints. The choice of such constraints was based on mutagenesis experiments, which identified Gly-234 as one of the gamma-phosphate sensing residues, as well as on structural comparison of kinesin with the homologous nonclaret disjunctional (ncd) motor and with G-proteins. The prediction of nucleotide-dependent conformational differences reveals an allosteric coupling between the nucleotide pocket and the microtubule binding site of kinesin. Interactions of ATP with Gly-234 and Ser-202 trigger structural changes in the motor domain, the nucleotide acting as an allosteric modifier of kinesin's microtubule-binding state. We suggest that in the presence of ATP kinesin's putative microtubule binding regions L8, L12, L11, alpha4, alpha5, and alpha6 form a face complementary in shape to the microtubule surface; in the presence of ADP, the microtubule binding face adopts a more convex shape relative to the ATP-bound form, reducing kinesin's affinity to the microtubule.
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Affiliation(s)
- W Wriggers
- Department of Physics and Beckman Institute, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801 USA
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30
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Hirose K, Cross RA, Amos LA. Nucleotide-dependent structural changes in dimeric NCD molecules complexed to microtubules. J Mol Biol 1998; 278:389-400. [PMID: 9571059 DOI: 10.1006/jmbi.1998.1709] [Citation(s) in RCA: 46] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Complexes consisting of motor domains of the kinesin-like protein ncd bound to reassembled brain microtubules were visualised using cryoelectron microscopy and helical image reconstruction. Different nucleotide-associated states of a dimeric construct (NDelta295-700) of ncd were analysed to reveal ADP-containing, AMP.PNP-containing and empty (rigor) conformations. In these three states, each thought to mimic a different stage in ATP turnover, the double-headed motors attach to the microtubules by one head only, with the free head tethered in relatively fixed positions. The three structures differ both in the way the attached heads interact with tubulin and in the position of the tethered heads. In the strongly binding rigor and AMP.PNP (ATP-like) states, the attached head makes close contact with both subunits of a tubulin heterodimer. In the weakly bound ADP state, the contact made by the attached head with the monomer closer to the plus end appears to be more loose. Also, in the ATP-like state, the free head tilts nearer to the plus end than in the other two states. The data argue against model mechanisms in which a conformational change in the bound head guides the free head closer to its next binding site; on the contrary, the transition from ADP-filled via rigor to the AMP.PNP (ATP-like) state of the bound head produces a small motion of the free head in the counter-productive direction. However, the observation that the tethered head points towards the minus end, in all three states, is consistent with the idea that the relative arrangement of the heads in a dimer is a major determinant of directionality.
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Affiliation(s)
- K Hirose
- National Institute for Advanced Interdisciplinary Research, Tsukuba 305, Japan
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31
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Romberg L, Pierce DW, Vale RD. Role of the kinesin neck region in processive microtubule-based motility. J Cell Biol 1998; 140:1407-16. [PMID: 9508773 PMCID: PMC2132664 DOI: 10.1083/jcb.140.6.1407] [Citation(s) in RCA: 134] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/1997] [Revised: 01/07/1998] [Indexed: 02/06/2023] Open
Abstract
Kinesin is a dimeric motor protein that can move along a microtubule for several microns without releasing (termed processive movement). The two motor domains of the dimer are thought to move in a coordinated, hand-over-hand manner. A region adjacent to kinesin's motor catalytic domain (the neck) contains a coiled coil that is sufficient for motor dimerization and has been proposed to play an essential role in processive movement. Recent models have suggested that the neck enables head-to-head communication by creating a stiff connection between the two motor domains, but also may unwind during the mechanochemical cycle to allow movement to new tubulin binding sites. To test these ideas, we mutated the neck coiled coil in a 560-amino acid (aa) dimeric kinesin construct fused to green fluorescent protein (GFP), and then assayed processivity using a fluorescence microscope that can visualize single kinesin-GFP molecules moving along a microtubule. Our results show that replacing the kinesin neck coiled coil with a 28-aa residue peptide sequence that forms a highly stable coiled coil does not greatly reduce the processivity of the motor. This result argues against models in which extensive unwinding of the coiled coil is essential for movement. Furthermore, we show that deleting the neck coiled coil decreases processivity 10-fold, but surprisingly does not abolish it. We also demonstrate that processivity is increased by threefold when the neck helix is elongated by seven residues. These results indicate that structural features of the neck coiled coil, although not essential for processivity, can tune the efficiency of single molecule motility.
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Affiliation(s)
- L Romberg
- Department of Cellular and Molecular Pharmacology, University of California, San Francisco, California 94143, USA
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32
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Abstract
Our knowledge of microtubule structure and its relationship to microtubule function continue to grow. Cryo-electron microscopy has given us new images of the microtubule polymerization and depolymerization processes and of the interaction of these polymers with motor proteins. We now know more about the effect of nucleotide state on the structure and dynamic instability of microtubules. The atomic model of tubulin, very recently obtained by electron crystallography, is bringing new insight into the properties of this protein and its self-assembly into microtubules, and promises to inspire new experimental efforts that should lead us to an understanding of the microtubule system at the molecular level.
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Affiliation(s)
- K H Downing
- Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA.
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33
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Abstract
The structures of the oppositely directed microtubule motors kinesin and ncd have been solved to atomic resolution. The two structures are very similar and are also homologous to myosin. Myosins and kinesins differ kinetically but, tantalizingly, cryoelectron microscopy has recently revealed that both structures may tilt during ADP release. Such evidence suggests that the two motor families use common structural mechanisms.
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Affiliation(s)
- L A Amos
- MRC Laboratory of Molecular Biology, MRC Centre, Hills Road, Cambridge, CB2 2QH, UK.
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