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Sarpangala N, Gopinathan A. Cargo surface fluidity can reduce inter-motor mechanical interference, promote load-sharing and enhance processivity in teams of molecular motors. PLoS Comput Biol 2022; 18:e1010217. [PMID: 35675381 PMCID: PMC9212169 DOI: 10.1371/journal.pcbi.1010217] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2021] [Revised: 06/21/2022] [Accepted: 05/16/2022] [Indexed: 11/18/2022] Open
Abstract
In cells, multiple molecular motors work together as teams to carry cargoes such as vesicles and organelles over long distances to their destinations by stepping along a network of cytoskeletal filaments. How motors that typically mechanically interfere with each other, work together as teams is unclear. Here we explored the possibility that purely physical mechanisms, such as cargo surface fluidity, may potentially enhance teamwork, both at the single motor and cargo level. To explore these mechanisms, we developed a three dimensional simulation of cargo transport along microtubules by teams of kinesin-1 motors. We accounted for cargo membrane fluidity by explicitly simulating the Brownian dynamics of motors on the cargo surface and considered both the load and ATP dependence of single motor functioning. Our simulations show that surface fluidity could lead to the reduction of negative mechanical interference between kinesins and enhanced load sharing thereby increasing the average duration of single motors on the filament. This, along with a cooperative increase in on-rates as more motors bind leads to enhanced collective processivity. At the cargo level, surface fluidity makes more motors available for binding, which can act synergistically with the above effects to further increase transport distances though this effect is significant only at low ATP or high motor density. Additionally, the fluid surface allows for the clustering of motors at a well defined location on the surface relative to the microtubule and the fluid-coupled motors can exert more collective force per motor against loads. Our work on understanding how teamwork arises in cargo-coupled motors allows us to connect single motor properties to overall transport, sheds new light on cellular processes, reconciles existing observations, encourages new experimental validation efforts and can also suggest new ways of improving the transport of artificial cargo powered by motor teams.
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Affiliation(s)
- Niranjan Sarpangala
- Department of Physics, and Center for Cellular and Biomolecular Machines, University of California, Merced, California, United States of America
| | - Ajay Gopinathan
- Department of Physics, and Center for Cellular and Biomolecular Machines, University of California, Merced, California, United States of America
- * E-mail:
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2
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Guha S, Mitra MK, Pagonabarraga I, Muhuri S. Novel mechanism for oscillations in catchbonded motor-filament complexes. Biophys J 2021; 120:4129-4136. [PMID: 34329628 DOI: 10.1016/j.bpj.2021.07.018] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2020] [Revised: 04/11/2021] [Accepted: 07/19/2021] [Indexed: 11/26/2022] Open
Abstract
Generation of mechanical oscillations is ubiquitous to a wide variety of intracellular processes ranging from activity of muscle fibres to oscillations of the mitotic spindle. The activity of motors plays a vital role in maintaining the integrity of the mitotic spindle structure and in generating spontaneous oscillations. While the structural features and properties of the individual motors are well characterized, their implications on the functional behaviour of motor-filament complexes is more involved. We show that force-induced allosteric deformations in dynein, which results in catchbonding behaviour, provide a generic mechanism to generate spontaneous oscillations in motor-cytoskeletal filament complexes. The resultant phase diagram of such motor-filament systems - characterized by force-induced allosteric deformations - exhibits bistability and sustained limit cycle oscillations in biologically relevant regimes, such as for catchbonded dynein. The results reported here elucidate the central role of this mechanism in fashioning a distinctive stability behaviour and oscillations in motor-filament complexes, such as mitotic spindles.
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Affiliation(s)
- Sougata Guha
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India; Department of Physics, Savitribai Phule Pune University, Pune, India
| | - Mithun K Mitra
- Department of Physics, Indian Institute of Technology Bombay, Mumbai, India
| | - Ignacio Pagonabarraga
- CECAM, Centre Européen de Calcul Atomique et Moléculaire, École Polytechnique Fédérale de Lasuanne (EPFL), Batochime, Avenue Forel 2, 1015 Lausanne, Switzerland; Departament de Física de la Matèria Condensada, Universitat de Barcelona, Martí i Franquès 1, E08028 Barcelona, Spain; UBICS University of Barcelona Institute of Complex Systems, Martí i Franquès 1, E08028 Barcelona, Spain
| | - Sudipto Muhuri
- Department of Physics, Savitribai Phule Pune University, Pune, India.
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3
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Chen K, Nam W, Epureanu BI. Collective intracellular cargo transport by multiple kinesins on multiple microtubules. Phys Rev E 2020; 101:052413. [PMID: 32575243 DOI: 10.1103/physreve.101.052413] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/31/2019] [Accepted: 04/28/2020] [Indexed: 06/11/2023]
Abstract
The transport of intracellular organelles is accomplished by groups of molecular motors, such as kinesin, myosin, and dynein. Previous studies have demonstrated that the cooperation between kinesins on a track is beneficial for long transport. However, within crowded three-dimensional (3D) cytoskeletal networks, surplus motors could impair transport and lead to traffic jams of cargos. Comprehensive understanding of the effects of the interactions among molecular motors, cargo, and tracks on the 3D cargo transport dynamics is still lack. In this work, a 3D stochastic multiphysics model is introduced to study the synergistic and antagonistic motions of kinesin motors walking on multiple mircotubules (MTs). Based on the model, we show that kinesins attaching to a common cargo can interact mechanically through the transient forces in their cargo linkers. Under different environmental conditions, such as different MT topologies and kinesin concentrations, the transient forces in the kinesins, the stepping frequency and the binding and unbinding probabilities of kinesins are changed substantially. Therefore, the macroscopic transport properties, specifically the stall force of the cargo, the transport direction at track intersections, and the mean-square displacement (MSD) of the cargo along the MT bundles vary over the environmental conditions. In general, conditions that improve the synergistic motion of kinesins increase the stall force of the cargo and the capability of maintaining the transport. In contrast, the antagonistic motion of kinesins temporarily traps the cargo and slows down the transport. Furthermore, this study predicts an optimal number of kinesins for the cargo transport at MT intersections and along MT bundles.
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Affiliation(s)
- Kejie Chen
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48105, USA
| | - Woochul Nam
- School of Mechanical Engineering, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul 06974, Republic of Korea
| | - Bogdan I Epureanu
- Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan 48105, USA
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Maelfeyt B, Tabei SMA, Gopinathan A. Anomalous intracellular transport phases depend on cytoskeletal network features. Phys Rev E 2019; 99:062404. [PMID: 31330659 DOI: 10.1103/physreve.99.062404] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/08/2018] [Indexed: 01/06/2023]
Abstract
Intracellular transport in eukaryotic cells consists of phases of passive, diffusion-based transport and active, motor-driven transport along filaments that make up the cell's cytoskeleton. The interplay between superdiffusive transport along cytoskeletal filaments and the anomalous nature of subdiffusion in the bulk can lead to novel effects in transport behavior at the cellular scale. Here we develop a computational model of the process with cargo being ballistically transported along explicitly modeled cytoskeletal filament networks and passively transported in the cytoplasm by a subdiffusive continuous-time random walk (CTRW). We show that, over a physiologically relevant range of filament lengths and numbers, the network introduces a filament-length sensitive superdiffusive phase at early times which crosses over to a phase where the CTRW is dominant and produces subdiffusion at late times. We apply our approach to the problem of insulin secretion from cells and show that the superdiffusive phase introduced by the filament network manifests as a peak in the secretion at early times followed by an extended sustained release phase that is dominated by the CTRW process at late times. Our results are consistent with in vivo observations of insulin transport in healthy cells and shed light on the potential for the cell to tune functionally important transport phases by altering its cytoskeletal network.
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Affiliation(s)
- Bryan Maelfeyt
- Department of Physics, University of California Merced, Merced California, USA
| | - S M Ali Tabei
- Department of Physics, University of Northern Iowa, Cedar Falls Iowa, USA
| | - Ajay Gopinathan
- Department of Physics, University of California Merced, Merced California, USA
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5
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Cargo diffusion shortens single-kinesin runs at low viscous drag. Sci Rep 2019; 9:4104. [PMID: 30858425 PMCID: PMC6411862 DOI: 10.1038/s41598-019-40550-5] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/06/2018] [Accepted: 02/18/2019] [Indexed: 02/03/2023] Open
Abstract
Molecular motors such as kinesin-1 drive active, long-range transport of cargos along microtubules in cells. Thermal diffusion of the cargo can impose a randomly directed, fluctuating mechanical load on the motor carrying the cargo. Recent experiments highlighted a strong asymmetry in the sensitivity of single-kinesin run length to load direction, raising the intriguing possibility that cargo diffusion may non-trivially influence motor run length. To test this possibility, here we employed Monte Carlo-based simulations to evaluate the transport of cargo by a single kinesin. Our simulations included physiologically relevant viscous drag on the cargo and interrogated a large parameter space of cytoplasmic viscosities, cargo sizes, and motor velocities that captures their respective ranges in living cells. We found that cargo diffusion significantly shortens single-kinesin runs. This diffusion-based shortening is countered by viscous drag, leading to an unexpected, non-monotonic variation in run length as viscous drag increases. To our knowledge, this is the first identification of a significant effect of cargo diffusion on motor-based transport. Our study highlights the importance of cargo diffusion and load-detachment kinetics on single-motor functions under physiologically relevant conditions.
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Gramlich MW, Klyachko VA. Actin/Myosin-V- and Activity-Dependent Inter-synaptic Vesicle Exchange in Central Neurons. Cell Rep 2017; 18:2096-2104. [PMID: 28249156 DOI: 10.1016/j.celrep.2017.02.010] [Citation(s) in RCA: 39] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/29/2016] [Revised: 12/13/2016] [Accepted: 01/31/2017] [Indexed: 11/18/2022] Open
Abstract
Vesicle sharing between synaptic boutons is an important component of the recycling process that synapses employ to maintain vesicle pools. However, the mechanisms supporting and regulating vesicle transport during the inter-synaptic exchange remain poorly understood. Using nanometer-resolution tracking of individual synaptic vesicles and advanced computational algorithms, we find that long-distance axonal transport of synaptic vesicles between hippocampal boutons is partially mediated by the actin network, with myosin V as the primary actin-dependent motor that drives this vesicle transport. Furthermore, we find that vesicle exit from the synapse to the axon and long-distance vesicle transport are both rapidly and dynamically regulated by activity. We corroborated these findings with two complementary modeling approaches of vesicle exit, which closely reproduced experimental observations. These findings uncover the roles of actin and myosin V in supporting the inter-synaptic vesicle exchange and reveal that this process is dynamically modulated in an activity-dependent manner.
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Affiliation(s)
- Michael W Gramlich
- Departments of Cell Biology and Physiology, Biomedical Engineering, Washington University School of Medicine, St. Louis, MO 63110, USA
| | - Vitaly A Klyachko
- Departments of Cell Biology and Physiology, Biomedical Engineering, Washington University School of Medicine, St. Louis, MO 63110, USA.
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7
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Li Q, King SJ, Gopinathan A, Xu J. Quantitative Determination of the Probability of Multiple-Motor Transport in Bead-Based Assays. Biophys J 2017; 110:2720-2728. [PMID: 27332130 DOI: 10.1016/j.bpj.2016.05.015] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2015] [Revised: 04/22/2016] [Accepted: 05/10/2016] [Indexed: 10/21/2022] Open
Abstract
With their longest dimension typically being less than 100 nm, molecular motors are significantly below the optical-resolution limit. Despite substantial advances in fluorescence-based imaging methodologies, labeling with beads remains critical for optical-trapping-based investigations of molecular motors. A key experimental challenge in bead-based assays is that the number of motors on a bead is not well defined. Particularly for single-molecule investigations, the probability of single- versus multiple-motor events has not been experimentally investigated. Here, we used bead travel distance as an indicator of multiple-motor transport and determined the lower-bound probability of bead transport by two or more motors. We limited the ATP concentration to increase our detection sensitivity for multiple- versus single-kinesin transport. Surprisingly, for all but the lowest motor number examined, our measurements exceeded estimations of a previous model by ≥2-fold. To bridge this apparent gap between theory and experiment, we derived a closed-form expression for the probability of bead transport by multiple motors, and constrained the only free parameter in this model using our experimental measurements. Our data indicate that kinesin extends to ∼57 nm during bead transport, suggesting that kinesin exploits its conformational flexibility to interact with microtubules at highly curved interfaces such as those present for vesicle transport in cells. To our knowledge, our findings provide the first experimentally constrained guide for estimating the probability of multiple-motor transport in optical trapping studies. The experimental approach utilized here (limiting ATP concentration) may be generally applicable to studies in which molecular motors are labeled with cargos that are artificial or are purified from cellular extracts.
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Affiliation(s)
- Qiaochu Li
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - Stephen J King
- Burnett School of Biomedical Sciences, University of Central Florida, Orlando, Florida
| | - Ajay Gopinathan
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - Jing Xu
- Department of Physics, School of Natural Sciences, University of California, Merced, California.
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8
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Liang WH, Li Q, Rifat Faysal KM, King SJ, Gopinathan A, Xu J. Microtubule Defects Influence Kinesin-Based Transport In Vitro. Biophys J 2017; 110:2229-40. [PMID: 27224488 DOI: 10.1016/j.bpj.2016.04.029] [Citation(s) in RCA: 29] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2015] [Revised: 04/18/2016] [Accepted: 04/22/2016] [Indexed: 10/25/2022] Open
Abstract
Microtubules are protein polymers that form "molecular highways" for long-range transport within living cells. Molecular motors actively step along microtubules to shuttle cellular materials between the nucleus and the cell periphery; this transport is critical for the survival and health of all eukaryotic cells. Structural defects in microtubules exist, but whether these defects impact molecular motor-based transport remains unknown. Here, we report a new, to our knowledge, approach that allowed us to directly investigate the impact of such defects. Using a modified optical-trapping method, we examined the group function of a major molecular motor, conventional kinesin, when transporting cargos along individual microtubules. We found that microtubule defects influence kinesin-based transport in vitro. The effects depend on motor number: cargos driven by a few motors tended to unbind prematurely from the microtubule, whereas cargos driven by more motors tended to pause. To our knowledge, our study provides the first direct link between microtubule defects and kinesin function. The effects uncovered in our study may have physiological relevance in vivo.
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Affiliation(s)
- Winnie H Liang
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - Qiaochu Li
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - K M Rifat Faysal
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - Stephen J King
- Burnett School of Biomedical Sciences, University of Central Florida, Orlando, Florida
| | - Ajay Gopinathan
- Department of Physics, School of Natural Sciences, University of California, Merced, California
| | - Jing Xu
- Department of Physics, School of Natural Sciences, University of California, Merced, California.
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9
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Iniguez A, Allard J. Spatial pattern formation in microtubule post-translational modifications and the tight localization of motor-driven cargo. J Math Biol 2016; 74:1059-1080. [PMID: 27592217 DOI: 10.1007/s00285-016-1053-x] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2016] [Revised: 08/12/2016] [Indexed: 11/27/2022]
Abstract
Microtubule (MT) "age" can be interpreted as nucleotide state, lattice defects, or post-translational modification (PTM) such as acetylation and detyrosination. In all three cases, these have been recently shown to have functionally-important effects on the dynamics of MT arrays, and can present spatial and temporal heterogeneity. While mathematical models for MT array densities are well-established, here we present equations describing MT age, defined as the mean time since the MT's building blocks (tubulin) were polymerized from their soluble dimer state. We derive the age equations using a mean first-passage time calculation and two complementary approaches: The continuum limit of spatial discretization model, and an adjoint operator approach. These equations can recapitulate the observation that the oldest (most de-tyrosinated) tubulin in axons is near the middle of axons during neuronal development in chick embryos. Furthermore, PTMs influence motor kinetics up to approximately twofold for off-rates and velocities. Our simulations demonstrate that this relatively weak dependence of motor kinetics is sufficient to target motor cargo to a specific location along the array. This localization is tightly peaked in a way that magnifies the relatively small signal of PTM spatial heterogeneity. Thus, MT age can produce long-range spatial patterning without feedbacks or diffusing signals.
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Affiliation(s)
- Abdon Iniguez
- Center for Complex Biological Systems, University of California at Irvine, Irvine, CA, 92617, USA
| | - Jun Allard
- Departments of Mathematics and Physics and Astronomy, Center for Complex Biological Systems, University of California at Irvine, Irvine, CA, 92617, USA. .,Center for Complex Biological Systems, University of California at Irvine, Irvine, CA, 92617, USA.
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10
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Ando D, Korabel N, Huang KC, Gopinathan A. Cytoskeletal Network Morphology Regulates Intracellular Transport Dynamics. Biophys J 2015; 109:1574-82. [PMID: 26488648 PMCID: PMC4624159 DOI: 10.1016/j.bpj.2015.08.034] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/16/2015] [Revised: 07/24/2015] [Accepted: 08/24/2015] [Indexed: 10/22/2022] Open
Abstract
Intracellular transport is essential for maintaining proper cellular function in most eukaryotic cells, with perturbations in active transport resulting in several types of disease. Efficient delivery of critical cargos to specific locations is accomplished through a combination of passive diffusion and active transport by molecular motors that ballistically move along a network of cytoskeletal filaments. Although motor-based transport is known to be necessary to overcome cytoplasmic crowding and the limited range of diffusion within reasonable timescales, the topological features of the cytoskeletal network that regulate transport efficiency and robustness have not been established. Using a continuum diffusion model, we observed that the time required for cellular transport was minimized when the network was localized near the nucleus. In simulations that explicitly incorporated network spatial architectures, total filament mass was the primary driver of network transit times. However, filament traps that redirect cargo back to the nucleus caused large variations in network transport. Filament polarity was more important than filament orientation in reducing average transit times, and transport properties were optimized in networks with intermediate motor on and off rates. Our results provide important insights into the functional constraints on intracellular transport under which cells have evolved cytoskeletal structures, and have potential applications for enhancing reactions in biomimetic systems through rational transport network design.
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Affiliation(s)
- David Ando
- Department of Physics, University of California, Merced, California
| | - Nickolay Korabel
- Department of Physics, University of California, Merced, California; School of Mathematics, University of Manchester, Manchester, United Kingdom
| | - Kerwyn Casey Huang
- Department of Bioengineering, Stanford University, Stanford, California; Department of Microbiology and Immunology, Stanford University School of Medicine, Stanford, California.
| | - Ajay Gopinathan
- Department of Physics, University of California, Merced, California.
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Woodward CL, Mendonça LM, Jensen GJ. Direct visualization of vaults within intact cells by electron cryo-tomography. Cell Mol Life Sci 2015; 72:3401-9. [PMID: 25864047 DOI: 10.1007/s00018-015-1898-y] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/18/2014] [Revised: 03/13/2015] [Accepted: 04/02/2015] [Indexed: 02/04/2023]
Abstract
The vault complex is the largest cellular ribonucleoprotein complex ever characterized and is present across diverse Eukarya. Despite significant information regarding the structure, composition and evolutionary conservation of the vault, little is know about the complex's actual biological function. To determine if intracellular vaults are morphologically similar to previously studied purified and recombinant vaults, we have used electron cryo-tomography to characterize the vault complexes found in the thin edges of primary human cells growing in tissue culture. Our studies confirm that intracellular vaults are similar in overall size and shape to purified and recombinant vaults previously analyzed. Results from subtomogram averaging indicate that densities within the vault lumen are not ordered, but randomly distributed. We also observe that vaults located in the extreme periphery of the cytoplasm predominately associate with granule-like structures and actin. Our ultrastructure studies augment existing biochemical, structural and genetic information on the vault, and provide important intracellular context for the ongoing efforts to understand the biological function of the native cytoplasmic vault.
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Affiliation(s)
- Cora L Woodward
- Division of Biology, California Institute of Technology, 1200 E California Blvd, Pasadena, CA, 91125, USA
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