-
1
-
-
0003880161
-
-
Garland Science
-
B. Alberts, A. Johnson, J. Lewis, M. Raff, K. Roberts, and P. Walter, Molecular Biology of the Cell, 4th ed. (Garland Science, New York, 2002).
-
(2002)
Molecular Biology of the Cell
-
-
Alberts, B.1
Johnson, A.2
Lewis, J.3
Raff, M.4
Roberts, K.5
Walter, P.6
-
2
-
-
85036236563
-
-
Microtubules in vitro undergo an alternating process of rapid, stochastic polymerization and depolymerization (dynamic instability) unless stabilized
-
Microtubules in vitro undergo an alternating process of rapid, stochastic polymerization and depolymerization (dynamic instability) unless stabilized.
-
-
-
-
5
-
-
0037813094
-
-
F. Nédélec, T. Surrey, A. C. Maggs, and S. Leibler, Nature (London)NATUAS0028-083610.1038/38532 389, 305 (1997).
-
(1997)
Nature (London)
, vol.389
, pp. 305
-
-
Nédélec, F.1
Surrey, T.2
Maggs, A.C.3
Leibler, S.4
-
6
-
-
0030751640
-
-
R. Heald, R. Tournebize, A. Habermann, E. Karsenti, and T. Hyman, J. Cell Biol.JCLBA30021-952510.1083/jcb.138.3.615 138, 615 (1997);
-
(1997)
J. Cell Biol.
, vol.138
, pp. 615
-
-
Heald, R.1
Tournebize, R.2
Habermann, A.3
Karsenti, E.4
Hyman, T.5
-
7
-
-
0029836330
-
-
R. Heald, R. Tournebize, T. Blank, R. Sandaltzopoulos, A. Hyman, and E. Karsenti, Nature (London)NATUAS0028-083610.1038/382420a0 382, 420 (1996).
-
(1996)
Nature (London)
, vol.382
, pp. 420
-
-
Heald, R.1
Tournebize, R.2
Blank, T.3
Sandaltzopoulos, R.4
Hyman, A.5
Karsenti, E.6
-
8
-
-
0033518234
-
-
L. Hartwell, J. Hopfield, S. Leibler, and A. Murray, Nature (London)NATUAS0028-0836 402, C 47 (1999).
-
(1999)
Nature (London)
, vol.402
, pp. C 47
-
-
Hartwell, L.1
Hopfield, J.2
Leibler, S.3
Murray, A.4
-
9
-
-
0342903325
-
-
T. Surrey, F. Nédélec, S. Leibler, and E. Karsenti, ScienceSCIEAS0036-807510.1126/science.1059758 292, 1167 (2001).
-
(2001)
Science
, vol.292
, pp. 1167
-
-
Surrey, T.1
Nédélec, F.2
Leibler, S.3
Karsenti, E.4
-
10
-
-
0010384152
-
-
F. Nédélec and T. Surrey, C. R. Acad. Sci., Ser IV: Phys., Astrophys.CRACFI1631-0705 2, 841 (2001).
-
(2001)
C. R. Acad. Sci., Ser IV: Phys., Astrophys.
, vol.2
, pp. 841
-
-
Nédélec, F.1
Surrey, T.2
-
11
-
-
0037119992
-
-
F. Nédélec, J. Cell Biol.JCLBA30021-9525 158, 1005 (2002).10.1083/jcb.200202051
-
(2002)
J. Cell Biol.
, vol.158
, pp. 1005
-
-
Nédélec, F.1
-
13
-
-
0242580633
-
-
S. Sankararaman, G. I. Menon, and P. B. Sunil Kumar, Phys. Scr., TPHSTER0281-1847 106, 26 (2003).
-
(2003)
Phys. Scr., T
, vol.106
, pp. 26
-
-
Sankararaman, S.1
Menon, G.I.2
Sunil Kumar, P.B.3
-
14
-
-
85036132735
-
-
Since the experiments are performed in a confined geometry, the otherwise long-ranged hydrodynamic interaction is screened because the boundaries of the system act as a sink for momentum. Neglecting the role played by hydrodynamics is therefore justified
-
Since the experiments are performed in a confined geometry, the otherwise long-ranged hydrodynamic interaction is screened because the boundaries of the system act as a sink for momentum. Neglecting the role played by hydrodynamics is therefore justified.
-
-
-
-
15
-
-
0035510141
-
-
H. Y. Lee and M. Kardar, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.64.056113 64, 056113 (2001).
-
(2001)
Phys. Rev. E
, vol.64
, pp. 56113
-
-
Lee, H.Y.1
Kardar, M.2
-
17
-
-
0037284013
-
-
J. Kim, Y. Park, B. Kahng, and H. Y. Lee, J. Korean Phys. Soc.KPSJAS0374-4884 42, 162 (2003).
-
(2003)
J. Korean Phys. Soc.
, vol.42
, pp. 162
-
-
Kim, J.1
Park, Y.2
Kahng, B.3
Lee, H.Y.4
-
19
-
-
42749099121
-
-
K. Kruse and F. Julicher, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.67.051913 67, 051913 (2003);
-
(2003)
Phys. Rev. E
, vol.67
, pp. 51913
-
-
Kruse, K.1
Julicher, F.2
-
21
-
-
0032185311
-
-
J. Toner and Y. Tu, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.58.4828 58, 4828 (1998);
-
(1998)
Phys. Rev. E
, vol.58
, pp. 4828
-
-
Toner, J.1
Tu, Y.2
-
22
-
-
5544293263
-
-
J. Toner and Y. Tu, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.75.4326 75, 4326 (1995).
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 4326
-
-
Toner, J.1
Tu, Y.2
-
25
-
-
85036160231
-
-
We only fail to obtain “bundles,” a disordered phase obtained at still higher densities of motors
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We only fail to obtain “bundles,” a disordered phase obtained at still higher densities of motors.
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85036400473
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We find it convenient to refer to the distinct states seen in the experiments and our simulations as “phases,” insofar as quantitative distinctions can be made between them and they are well contrasted from the point of view of the experiments. However, such terminology is, strictly speaking, inaccurate since we believe that sharp qualitative distinctions between several of these states, such as the disordered phase, the aster-vortex mixture, and the lattice of vortices cannot be made—a more generic name would be a disordered and/or aster-vortex mixture dominated by arrested states at low motor density in this regime
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We find it convenient to refer to the distinct states seen in the experiments and our simulations as “phases,” insofar as quantitative distinctions can be made between them and they are well contrasted from the point of view of the experiments. However, such terminology is, strictly speaking, inaccurate since we believe that sharp qualitative distinctions between several of these states, such as the disordered phase, the aster-vortex mixture, and the lattice of vortices cannot be made—a more generic name would be a disordered and/or aster-vortex mixture dominated by arrested states at low motor density in this regime.
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27
-
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0003474751
-
-
Cambridge University Press
-
W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, U.K., 1998).
-
(1998)
Numerical Recipes in C
-
-
Press, W.1
Teukolsky, S.2
Vetterling, W.3
Flannery, B.4
-
28
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85036304193
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We have also performed a linear stability analysis of the equations governing our model starting from the uniform state ((Formula presented), all (Formula presented) aligned), with the motor densities constant, consistent with periodic boundary conditions on the fields. We choose (Formula presented) where (Formula presented) and (Formula presented) satisfy (Formula presented). Straightforward analysis yields the following results. The uniform state favored by periodic boundary conditions is stable over the range of parameters we use, provided (Formula presented). At any nonzero (Formula presented), the solutions are linearly unstable over the full range of parameters. We note that this particular solution, with its associated boundary condition, corresponds to a macroscopic flux of motors entering and leaving the system through its boundaries. This is physically unrealistic, given the experimental system
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We have also performed a linear stability analysis of the equations governing our model starting from the uniform state ((Formula presented), all (Formula presented) aligned), with the motor densities constant, consistent with periodic boundary conditions on the fields. We choose (Formula presented) where (Formula presented) and (Formula presented) satisfy (Formula presented). Straightforward analysis yields the following results. The uniform state favored by periodic boundary conditions is stable over the range of parameters we use, provided (Formula presented). At any nonzero (Formula presented), the solutions are linearly unstable over the full range of parameters. We note that this particular solution, with its associated boundary condition, corresponds to a macroscopic flux of motors entering and leaving the system through its boundaries. This is physically unrealistic, given the experimental system.
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