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Volumn 70, Issue 3, 2004, Pages 18-

Self-organized pattern formation in motor-microtubule mixtures

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGICAL MEMBRANES; CELLS; DNA; EQUATIONS OF MOTION; HYDRODYNAMICS; HYDROLYSIS; MICROMETERS; MOLECULAR ORIENTATION; PROTEINS;

EID: 42749100025     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.031905     Document Type: Article
Times cited : (65)

References (29)
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    • 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.
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    • (2002) J. Cell Biol. , vol.158 , pp. 1005
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    • 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
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    • 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
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    • 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
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    • J. Toner and Y. Tu, Phys. Rev. EPLEEE81063-651X10.1103/PhysRevE.58.4828 58, 4828 (1998);
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    • J. Toner and Y. Tu, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.75.4326 75, 4326 (1995).
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  • 25
    • 85036160231 scopus 로고    scopus 로고
    • We only fail to obtain “bundles,” a disordered phase obtained at still higher densities of motors
    • We only fail to obtain “bundles,” a disordered phase obtained at still higher densities of motors.
  • 26
    • 85036400473 scopus 로고    scopus 로고
    • 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
    • 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.
  • 28
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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
    • 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.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.