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In the living cell, filaments are typically crowded with molecular motors and cargo particles.
Because of the mutual
exclusion (or hardcore repulsion) between these particles, this overcrowding leads to a
variety of cooperative phenomena and self-organized processes: build-up of traffic jams
[1]
[2];
active pattern formation [3]
[4]
leading to steady states with spatially nonuniform density and flux
patterns;
and
traffic phase transitions
[3]
[5]
[6]
between different steady states far from equilibrium.
Nonequilibrium phase transitions also occur in filament gliding assays in which the motors
are immobilized on a substrate surface and pull many filaments across this surface
[7].
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Y. Chai, S. Klumpp, M. J. I. Müller, and R. Lipowsky
Traffic by multiple species of molecular motors.
Phys. Rev. E 80, 041928 (2009).
-
Y. Chai, R. Lipowsky, and S. Klumpp
Transport by molecular motors in the presence of static defects.
J. Stat. Phys. 135, 241-260 (2009).
-
S. Klumpp, Y. Chai, and R. Lipowsky
Effects of the chemomechanical stepping cycle on the traffic of
molecular motors.
Phys. Rev. E 78, 041909 (2008).
-
R. Lipowsky, Y. Chai, S. Klumpp, S. Liepelt and M.J.I. Müller
Molecular motor traffic: From biological nanomachines to macroscopic transport.
Physica A 372, 34 - 51 (2006).
-
M.J.I. Müller, S. Klumpp and R. Lipowsky
Molecular motor traffic in a half-open tube.
J. Phys.: Condens. Matter 17, S3839 - S3850 (2005).
-
S. Klumpp, T.M. Nieuwenhuizen and R. Lipowsky
Movements of molecular motors: Ratchets, random walks and traffic phenomena.
Physica E 29, 380 - 389 (2005).
-
R. Lipowsky and S. Klumpp
'Life is Motion': Multiscale motility of molecular motors.
Physica A 352, 53-112, (2005).
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S. Klumpp, T.M. Nieuwenhuizen and R. Lipowsky
Self-organized density patterns of molecular motors in arrays of cytosceletal
filaments.
Biophys. J. 88, 3118-3132, (2005).
-
S. Klumpp and R. Lipowsky
Asymmetric simple exclusion processes with diffusive bottlenecks.
Phys. Rev. E 70, 066104 (2004).
-
S. Klumpp and R. Lipowsky
Phase transitions in systems with two species of molecular motors.
Europhys. Lett. 66, 90-96 (2004) .
-
T.M. Nieuwenhuizen, S. Klumpp and R. Lipowsky
Random walks of molecular motors arising from diffusional encounters with
immobilized filaments.
Phys. Rev. E 69, 061911 (2004).
-
S. Klumpp and R. Lipowsky
Traffic of molecular motors through tube-like compartments.
J. Stat. Phys. 113, 233-268 (2003).
-
T. M. Nieuwenhuizen, S. Klumpp, and R. Lipowsky
Walks of molecular motors in two and three dimensions.
Europhys. Lett., 58, 468-474 (2002).
-
R. Lipowsky, S. Klumpp, and T.M. Nieuwenhuizen
Random Walks of Cytoskeletal Motors in Open and
Closed Compartments.
Phys. Rev. Lett. 87 , 108101 (2001).
