Abstract
The transport by molecular motors along cytoskeletal filaments is studied theoretically in the presence of static defects. The movements of single motors are described as biased random walks along the filament as well as binding to and unbinding from the filament. Three basic types of defects are distinguished, which differ from normal filament sites only in one of the motors’ transition probabilities. Both stepping defects with a reduced probability for forward steps and unbinding defects with an increased probability for motor unbinding strongly reduce the velocities and the run lengths of the motors with increasing defect density. For transport by single motors, binding defects with a reduced probability for motor binding have a relatively small effect on the transport properties. For cargo transport by motors teams, binding defects also change the effective unbinding rate of the cargo particles and are expected to have a stronger effect.
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Beeg, J., Klumpp, S., Dimova, R., Gracia, R.S., Unger, E., Lipowsky, R.: Transport of beads by several kinesin motors. Biophys. J. 94, 532–541 (2008)
Bulisnki, J.C., McGraw, T.E., Gruber, D., Nguyen, H.L., Sheetz, M.P.: Overexpression of MAP4 inhibits organelle motility and trafficking in vivo. J. Cell Sci. 110, 3055–3064 (1997)
Crevel, I.M., Nyitrai, M., Alonso, M.C., Weiss, S., Geeves, M.A., Cross, R.A.: What kinesin does at roadblocks: The coordination mechanism for molecular walking. Eur. Mol. Biol. Organ. J. 23, 23–32 (2004)
Davis, L.J., Odde, D.J., Block, S.M., Gross, S.P.: The importance of lattice defects in katanin-mediated microtubule severing in vitro. Biophys. J. 82, 2916–2927 (2002)
Dixit, R., Ross, J.L., Goldman, Y.E., Holzbaur, E.L.F.: Differential regulation of dynein and kinesin motor proteins by tau. Science 319, 1086–1089 (2008)
Dreblow, K., Kalchishkova, N., Böhm, K.J.: Kinesin bypassing blockages on microtubule rails. Biophys. Rev. Lett. (in press)
Ebneth, A., Godemann, R., Stamer, K., Illenberger, S., Trinczek, B., Mandelkow, E.-M., Mandelkow, E.: Overexpression of tau protein inhibits kinesin-dependent trafficking of vesicles, mitochondria, and endoplasmic reticulum: Implications for Alzheimer’s disease. J. Cell Biol. 143, 777–794 (1998)
Evans, M.R., Juhász, R., Santen, L.: Shock formation in an exclusion process with creation and annihilation. Phys. Rev. E 68, 026117 (2003)
Goldstein, L.S.B., Yang, Z.: Microtubule-based transport systems in neurons: The roles of kinesins and dyneins. Annu. Rev. Neurosci. 23, 39–71 (2000)
Grzeschik, H., Harris, R.J., Santen, L.: Traffic of cytoskeletal motors with disordered attachment rates. Preprint arXiv:0806.3845 (2008)
Hagiwara, H., Yorifuji, H., Sato-Yoshitake, R., Hirokawa, N.: Competition between motor molecules (kinesin and cytoplasmic dynein) and fibrous microtubule-associated proteins in binding to microtubules. J. Biol. Chem. 269, 3581–3589 (1994)
Heins, S., Song, Y.H., Wille, H., Mandelkow, E., Mandelkow, E.-M.: Effect of MAP2, MAP2c, and tau on kinesin-dependent microtubule motility. J. Cell Sci. Suppl. 14, 121–124 (1991)
Hess, H., Bachand, G.D., Vogel, V.: Powering nanodevices with biomolecular motors. Chem. Eur. J. 10, 2110–2116 (2004)
Howard, J.: Mechanics of Motor Proteins and the Cytoskeleton. Sinauer Associates, Sunderland (2001)
Janowsky, S.A., Lebowitz, J.L.: Finite-size effects and shock fluctuations in the asymmetric simple-exclusion process. Phys. Rev. A 45, 618–625 (1992)
Klein, G.A., Kruse, K., Cuniberti, G., Jülicher, F.: Filament depolymerization by motor molecules. Phys. Rev. Lett. 94, 108102 (2005)
Klumpp, S., Lipowsky, R.: Traffic of molecular motors through tube-like compartments. J. Stat. Phys. 113, 233–268 (2003)
Klumpp, S., Lipowsky, R.: Asymmetric simple exclusion processes with diffusive bottlenecks. Phys. Rev. E 70, 066104 (2004)
Klumpp, S., Lipowsky, R.: Phase transitions in systems with two species of molecular motors. Europhys. Lett. 66, 90–96 (2004)
Klumpp, S., Lipowsky, R.: Active diffusion of motor particles. Phys. Rev. Lett. 95, 268102 (2005)
Klumpp, S., Lipowsky, R.: Cooperative cargo transport by several molecular motors. Proc. Natl. Acad. Sci. USA 102, 17284–17289 (2005)
Klumpp, S., Nieuwenhuizen, T.M., Lipowsky, R.: Self-organized density patterns of molecular motors in arrays of cytoskeletal filaments. Biophys. J. 88, 3118–3132 (2005)
Klumpp, S., Chai, Y., Lipowsky, R.: Effects of the chemomechanical stepping cycle on the traffic of molecular motors. Phys. Rev. E 78, 041909 (2008)
Kolomeisky, A.B.: Asymmetric simple exclusion model with local inhomogeneity. J. Phys. A Math. Gen. 31, 1153–1164 (1998)
Konzack, S., Rischitor, P.E., Enke, C., Fischer, R.: The role of the kinesin motor KipA in microtubule organization and polarized growth of Aspergillus nidulans. Mol. Biol. Cell 16, 497–506 (2005)
Krug, J.: Phase separation in disordered exclusion models. Braz. J. Phys. 30, 97–104 (2000)
Lakämper, S., Meyhöfer, E.: The E-hook of tubulin interacts with kinesin’s head to increase processivity and speed. Biophys. J. 89, 3223–3234 (2005)
Larcher, J.-C., Boucher, D., Lazereg, S., Gros, F., Denoulet, P.: Interaction of kinesin motor domains with α- and β-tubulin subunits at a tau-independent binding site: Regulation by polyglutamylation. J. Biol. Chem. 271, 22117–22124 (1996)
Leduc, C., Campàs, O., Zeldovich, K.B., Roux, A., Jolimaitre, P., Bourel-Bonnet, L., Goud, B., Joanny, J.-F., Bassereau, P., Prost, J.: Cooperative extraction of membrane nanotubes by molecular motors. Proc. Natl. Acad. Sci. USA 101, 17096–17101 (2004)
Lipowsky, R., Klumpp, S.: ‘Life is motion’: Multiscale motility of molecular motors. Physica A 352, 53–112 (2005)
Lipowsky, R., Klumpp, S., Nieuwenhuizen, T.M.: Random walks of cytoskeletal motors in open and closed compartments. Phys. Rev. Lett. 87, 108101 (2001)
Lopez, L.A., Sheetz, M.P.: Steric inhibition of cytoplasmic dynein and kinesin motility by MAP2. Cell Motil. Cytoskelet. 24, 1–16 (1993)
Mandelkow, E.-M., Thies, E., Trinczek, B., Biernat, J., Mandelkow, E.: MARK/PAR1 kinase is a regulator of microtubule-dependent transport in axons. J. Cell Biol. 167, 99–110 (2004)
Mirin, N., Kolomeisky, A.B.: Effect of detachments in asymmetric simple exclusion processes. J. Stat. Phys. 110, 811–823 (2003)
Müller, M.J.I., Klumpp, S., Lipowsky, R.: Molecular motor traffic in a half-open tube. J. Phys. Condens. Matter 17, S3839–S3850 (2005)
Müller, M.J.I., Klumpp, S., Lipowsky, R.: Tug-of-war as a cooperative mechanism for bidirectional cargo transport by molecular motors. Proc. Natl. Acad. Sci. USA 105, 4609–4614 (2008)
Nieuwenhuizen, T.M., Klumpp, S., Lipowsky, R.: Random walks of molecular motors arising from diffusional encounters with immobilized filaments. Phys. Rev. E 69, 061911 (2004)
Nishinari, K., Okada, Y., Schadschneider, A., Chowdhury, D.: Intracellular transport of single-headed molecular motors KIF1A. Phys. Rev. Lett. 95, 118101 (2005)
Parmeggiani, A., Franosch, T., Frey, E.: Phase coexistence in driven one-dimensional transport. Phys. Rev. Lett. 90, 086601 (2003)
Paschal, B.M., Obar, R.A., Vallee, R.B.: Interaction of brain cytoplasmic dynein and MAP2 with a common sequence at the C terminus of tubulin. Nature 342, 569–572 (1989)
Pierobon, P., Mobilia, M., Kouyos, R., Frey, E.: Bottleneck-induced transitions in a minimal model for intracellular transport. Phys. Rev. E 74, 031906 (2006)
Reed, N.A., Cai, D., Blasius, T.L., Jih, G.T., Meyhofer, E., Gaertig, J., Verhey, K.J.: Microtubule acetylation promotes kinesin-1 binding and transport. Curr. Biol. 16, 2166–2172 (2006)
Sato-Harada, R., Okabe, S., Umeyama, T., Kanai, Y., Hirokawa, N.: Microtubule-associated proteins regulate microtubule function as the track for intracellular membrane organelle transports. Cell Struct. Funct. 21, 283–295 (1996)
Schliwa, M. (ed.): Molecular Motors. Wiley/VCH, Weinheim (2003)
Schmittmann, B., Zia, R.K.P. Statistical mechanics of driven diffusive systems. In: Domb, C., Lebowitz, J. (eds.) Phase Transitions and Critical Phenomena, vol. 17. Academic Press, London/San Diego (1995)
Schütz, G.M.: Exactly solvable models for many-body systems far from equilibrium. In: Domb, C., Lebowitz, J. (eds.) Phase Transitions and Critical Phenomena, vol. 19, pp. 1–251. Academic Press, San Diego (2001)
Seitz, A., Surrey, T.: Processive movement of single kinesins on crowded microtubules visualized using quantum dots. Eur. Mol. Biol. Organ. J. 25, 267–277 (2006)
Seitz, A., Kojima, H., Oiwa, K., Mandelkow, E.-M., Song, Y.H., Mandelkow, E.: Single-molecule investigation of the interference between kinesin, tau and MAP2c. Eur. Mol. Biol. Organ. J. 21, 4896–4905 (2002)
Tokuraku, K., Noguchi, T.Q.P., Nishie, M., Matsushima, K., Kotani, S.: An isoform of microtubule-associated protein 4 inhibits kinesin-driven microtubule gliding. J. Biochem. 141, 585–591 (2007)
Tripathy, G., Barma, M.: Steady state and dynamics of driven diffusive systems with quenched disorder. Phys. Rev. Lett. 78, 3039–3042 (1997)
Van den Heuvel, M.G.L., Dekker, C.: Motor proteins at work for nanotechnology. Science 317, 333–336 (2007)
Vershinin, M., Carter, B.C., Razafsky, D.S., King, S.J., Gross, S.P.: Multiple-motor based transport and its regulation by Tau. Proc. Natl. Acad. Sci. USA 104, 87–92 (2007)
Vershinin, M., Xu, J., Razafsky, D.S., King, S.J., Gross, S.P.: Tuning microtubule-based transport through filamentous MAPs: The problem of dynein. Traffic 9, 882–892 (2008)
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Chai, Y., Lipowsky, R. & Klumpp, S. Transport by Molecular Motors in the Presence of Static Defects. J Stat Phys 135, 241–260 (2009). https://doi.org/10.1007/s10955-009-9715-3
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DOI: https://doi.org/10.1007/s10955-009-9715-3