Random intermittent search and the tug-of-war model of motor-driven transport

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2010, Issue 4, 2010, Pages

  Newby, Jay ^a,b   Bressloff, Paul C ^a,b  

^a UNIVERSITY OF UTAH   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Molecular motors (theory); Stochastic processes (theory)

Indexed keywords

EID: 77951679786     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2010/04/P04014     Document Type: Article

References (43)

1. Bell J W 1991 Searching Behavior, the Behavioral Ecology of Finding Resources (London: Chapman and Hall)
2. Viswanathan G, Buldyrev S, Havlin S, da Luz M, Raposo E and Stanley H 1999 Optimizing the success of random searches Nature 401 911 (Pubitemid 129516788)
3. Viswanathan G, Bartumeus F, Buldyrev S, Catalan J, Fulco U, Havlin S, da Luz M, Lyra M, Raposo E and Stanley H 2002 Physica A 314 208
4. Berg O G, Winter R B and Von Hippel P H 1981 Diffusion-driven mechanisms of protein translocation on nucleic acids. 1. Models and theory Biochemistry 20 6929
5. Halford S and Marko J 2004 How do site-specific DNA-binding proteins find their targets? Nucl. Acids Res. 32 3040 (Pubitemid 39022995)
6. Loverdo C, Benichou O, Moreau M and Voiturieez R 2008 Enhanced reaction kinetics in biological cells Nat. Phys. 4 134
7. Benichou O, Coppey M, Moreau M, Suet P and Voituriez R 2005 Optimal search strategies for hidden targets Phys. Rev. Lett. 94 198101 (Pubitemid 41493011)
8. Benichou O, Loverdo C, Moreau M and Voituriez R 2007 A minimal model of intermittent search in dimension two J. Phys.: Condens. Matter 19 065141 (Pubitemid 46478518)
9. Oshanin O, Wio H S, Lindenberg K and Burlatsky S 2007 Intermittent random walks for an optimal search strategy: one-dimensional case J. Phys.: Condens. Matter 19 065142 (Pubitemid 46478519)
10. Loverdo C, Benichou O, Moreau M and Voituriez R 2009 Robustness of optimal intermittent search strategies in one, two, and three dimensions Phys. Rev. E 80 031146
11. Oshanin O, Lindenberg K, Wio H S and Burlatsky S 2009 Efficient search by optimized intermittent random walks J. Phys. A: Math. Theor. 42 434008
12. Benichou O, Coppey M, Moreau M, Suet P and Voituriez R 2005 A stochastic model for intermittent search strategies J. Phys.: Condens. Matter 17 S4275 (Pubitemid 41744545)
13. Pierce-Shimomura J, Morse T and Lockery S 1999 The fundamental role of pirouettes in C. elegans chemotaxis J. Neurosci. 19 9557 (Pubitemid 30228107)
14. Huet S, Karatekin E, Tran V S, Fanget I, Cribier S and Henry J P 2006 Analysis of transient behavior in complex trajectories: application to secretory vesicle dynamics Biophys. J. 91 3542 (Pubitemid 44788286)
15. Bressloff P C and Newby J 2009 Directed intermittent search for hidden targets New J. Phys. 11 023033
16. Newby J M and Bressloff P C 2009 Directed intermittent search for a hidden target on a dendritic tree Phys. Rev. E 80 021913
17. Knowles R B, Sabry J H, Martone M E, Deerinck T J, Ellisman M H, Bassell G J and Kosik K S 1996 Translocation of RNA granules in living neurons J. Neurosci. 16 7812
18. Bannai H, Inoue T, Nakayama T, Hattori M and Mikoshiba K 2004 Kinesin dependent, rapid bidirectional transport of ER sub-compartment in dendrites of hippocampal neurons J. Cell Sci. 117 163 (Pubitemid 38128897)
19. Gennerich A and Schild D 2006 Finite-particle tracking reveals submicroscopic-size changes of mitochondria during transport in mitral cell dendrites Phys. Biol. 3 45
20. Dynes J L and Steward O 2007 Dynamics of bidirectional transport of ARC MRNA in neuronal dendrites J. Comp. Neurol. 500 433 (Pubitemid 46252669)
21. Rook M S, Lu M and Kosik K S 2000 CaMKIIα 3' untranslated regions-directed MRNA translocation in living neurons: visualization by GFP linkage J. Neurosci. 20 6385
22. Hirokawa N, Noda Y, Tanaka Y and Niwa S 2009 Kinesin superfamily motor proteins and intracellular transport Nat. Rev. Mol. Cell Biol. 10 682
23. Welte M 2004 Bidirectional transport along microtubules Curr. Biol. 14 R525 (Pubitemid 38893974)
24. Baas P W, Deitch J S, Black M M and Banker G A 1988 Polarity orientation of microtubules in hippocampal neurons: uniformity in the axon and nonuniformity in the dendrite Proc. Nat. Acad. Sci. 85 8335
25. Muller M J I, Klumpp S and Lipowsky R 2008 Tug-of-war as a cooperative mechanism for bidirectional cargo transport by molecular motors Proc. Nat. Acad. Sci. 105 4609 (Pubitemid 351753794)
26. Muller MJ, Klumpp S and Lipowsky R 2008 Motility states of molecular motors engaged in a stochastic tug-of-war J. Stat. Phys. 133 1059
27. Ali Y M, Krementsova E B, Kennedy G G, Mahaffy R, Pollard T D, Trybus K M and Warshaw D M 2007 Myosin Va maneuvers through actin intersections and diffuses along microtubules Proc. Nat. Acad. Sci. 104 4332 (Pubitemid 47186226)
28. Ross J L, Ali M Y and Warshaw D M 2008 Cargo transport: molecular motors navigate a complex cytoskeleton Curr. Opin. Cell Biol. 20 41
29. Papanicolaou G and Kohler W 1974 Asymptotic theory of mixing stochastic ordinary differential equations Commun. Pure Appl. Math. 27 641
30. Gardiner CW 1983 Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences vol 13 (Berlin: Springer) ISBN 0387113576 (US)
31. Fisher M and Kolomeisky A 2001 Simple mechanochemistry describes the dynamics of Kinesin molecules Proc. Nat. Acad. Sci. 98 7748 (Pubitemid 32642632)
32. Visscher K, Schnitzer M and Block S 1999 Single kinesin molecules studied with a molecular force clamp Nature 400 184 (Pubitemid 29327550)
33. Schnitzer M, Visscher K and Block S 2000 Force production by single kinesin motors Nat. Cell Biol. 2 718
34. King S J and Schroer T A 2000 Dynactin increases the processivity of the cytoplasmic dynein motor Nat. Cell Biol. 2 20
35. Gao Y Q 2006 A simple theoretical model explains dynein's response to load Biophys. J 90 811
36. Ali Y M, Lu H, Bookwalter C S, Warshaw D M and Trybus K M 2008 Myosin V and Kinesin act as tethers to enhance each others' processivity Proc. Nat. Acad. Sci. 105 4691 (Pubitemid 351753808)
37. Berger F, Mueller M J I and Lipowsky R 2009 Enhancement of the processivity of kinesin-transported cargo by myosin V Europhys. Lett. 87 28002
38. Posta F, D'Orsogna M R and Chou T 2009 Enhancement of cargo processivity by cooperating molecular motors Phys. Chem. Chem. Phys. 11 4851
39. Redner S 2001 A Guide to First-Passage Processes (Cambridge: Cambridge University Press) ISBN 0521652480
40. Rogers A, Driver J, Constantinou P, Jamison D and Diehl M 2009 Negative interference dominates collective transport of kinesin motors in the absence of load Phys. Chem. Chem. Phys. 11 4882
41. Korn C, Klumpp S, Liposky R and Schwarz U 2009 Stochastic simulations of cargo transport by processive molecular motors J. Chem. Phys. 131 245107
42. Kunwar A and Mogilner A 2010 Robust transport by multiple motors with nonlinear force-velocity relations and stochastic load sharing Phys. Biol. 7 016012
43. Mogilner A, Fisher A and Baskin R 2001 Structural changes in the neck linker of kinesin explain the load dependence of the motor's mechanical cycle J. Theor. Biol. 211 143 (Pubitemid 32664865)