Traffic of Molecular Motors through Tube-Like Compartments

Journal of Statistical Physics

Volumn 113, Issue 1-2, 2003, Pages 233-268

  Klumpp, Stefan ^a   Lipowsky, Reinhard ^a  

^a MAX PLANCK INSTITUTE OF COLLOIDS AND INTERFACES   (Germany)

Author keywords

Active processes; Molecular motors; Pattern formation; Phase transitions; Traffic jams

Indexed keywords

EID: 0347753714     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025778922620     Document Type: Article

References (27)

1. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland, MA, 2001).
2. G. Woehlke and M. Schliwa, Walking on two heads: The many talents of kinesin, Nature Reviews Molec. Cell Biol. 1:50-59 (2000).
3. R. D. Vale, T. Funatsu, D. W. Pierce, L. Romberg, Y. Harada, and T. Yanagida, Direct observation of single kinesin molecules moving along microtubules, Nature 380:451-453 (1996).
4. K. S. Thorn, J. A. Ubersax, and R. D. Vale, Engineering the processive run length of the kinesin motor, J. Cell Biol. 151:1093-1100 (2000).
5. R. Lipowsky, S. Klumpp, and Th. M. Nieuwenhuizen, Random walks of cytoskeletal motors in open and closed compartments, Phys. Rev. Lett. 87:108101.1-4 (2001).
6. Th. M. Nieuwenhuizen, S. Klumpp, and R. Lipowsky, Walks of motors in two and three dimensions, Europhys. Lett. 58:468-474 (2002).
7. S. Katz, J. L. Lebowitz, and H. Spohn, Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors, J. Stat. Phys. 34:497-537 (1984).
8. A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky, and J. P. Straley, Phase diagram of one-dimensional driven lattice gases with open boundaries, J. Phys. A: Math. Gen. 31:6911-6919 (1998).
9. C. T. MacDonald, J. H. Gibbs, and A. C. Pipkin, Kinetics of biopolymerization on nucleic acid templates, Biopolymers 6:1-25 (1968).
10. C. T. MacDonald and J. H. Gibbs, Concerning the kinetics of polypeptide synthesis on polyribosomes, Biopolymers 7:707-725 (1969).
11. H. M. Dintzis, Assembly of the peptide chains of hemoglobin, Proc. Natl. Acad. Sci. USA 47:247-261 (1961).
12. M. A. Naughton and H. M. Dintzis, Sequential biosynthesis of the peptide chains of hemoglobin, Proc. Natl. Acad. Sci. USA 48:1822-1830 (1962).
13. 2*, J. Biol. Chem. 241:1144-1149 (1966).
14. F. Spitzer, Interaction of Markov processes, Adv. Math. 5:246-290 (1970).
15. J. Krug, Boundary-induced phase transitions in driven diffusive systems, Phys. Rev. Lett. 67:1882-1885 (1991).
16. G. Schütz and E. Domany, Phase transitions in an exactly soluble one-dimensional exclusion process, J. Stat. Phys. 72:277-296 (1993).
17. B. Derrida, M. R. Evans, V. Hakim, and V. Pasquier, Exact solution of a ID asymmetric exclusion model using a matrix formulation, J. Phys. A: Math. Gen. 26:1493-1517 (1993).
18. T. M. Liggett, Stochastic Interacting Systems: Contact, Voter, and Exclusion Processes (Springer, Berlin, 1999).
19. V. Popkov, L. Santen, A. Schadschneider, and G. M. Schütz, Empirical evidence for a boundary-induced nonequilibrium phase transition, J. Phys. A: Math. Gen. 34:L45-L52 (2001).
20. L. S. B. Goldstein and Z. Yang, Microtubule-based transport systems in neurons: The roles of kinesins and dyneins, Annu. Rev. Neurosci. 23:39-71 (2000).
21. A. B. Dahlström, K. K. Pfister, and S. T. Brady, The axonal transport motor "kinesin" is bound to anterogradely transported organelles: Quantitative cytofluorimetric studies of fast axonal transport in the rat, Acta Physiol. Scand. 141:469-476 (1991).
22. H. van Beijeren, R. Kutner, and H. Spohn, Excess noise for driven diffusive systems, Phys. Rev. Lett. 54:2026-2029 (1985).
23. K. H. Janssen and K. Oerding, Renormalized field theory and particle density profile in driven diffusive systems with open boundaries, Phys. Rev. E 53:4544-4554 (1996).
24. J. S. Hager, J. Krug, V. Popkov, and G. M. Schütz, Minimal current phase and universal boundary layers in driven diffusive systems, Phys. Rev. E 63:056110/1-056110/12 (2001).
25. T. Surrey, F. Nédélec, S. Leibler, and E. Karsenti, Physical properties determining self-organization of motors and microtubules, Science 292:1167-1171 (2001).
26. S. Klumpp and R. Lipowsky, to be published.
27. G. M. Schütz, Exactly solvable models for many-body systems far from equilibrium, in Phase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz, eds., Vol. 19 (Academic Press, San Diego, 2001), pp. 1-251.