Front propagation in the pearling instability of tubular vesicles

被引:0
|
作者
Goldstein, RE
Nelson, P
Powers, T
Seifert, U
机构
[1] UNIV PENN, DEPT PHYS, PHILADELPHIA, PA 19104 USA
[2] MAX PLANCK INST KOLLOID & GRENZFLACHENFORSCH, D-14513 TELTOW, GERMANY
来源
JOURNAL DE PHYSIQUE II | 1996年 / 6卷 / 05期
关键词
D O I
暂无
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Recently Bar-Ziv and Moses discovered a dynamical shape transformation induced in cylindrical lipid bilayer vesicles by the action of laser tweezers. We develop a hydrodynamic theory of fluid bilayers in interaction with the surrounding water and argue that the effect of the laser is to induce a sudden tension in the membrane. We refine our previous analysis to account for the fact that the shape transformation is not uniform but propagates outward from the laser trap. Applying the marginal stability criterion to this situation gives us an improved prediction for the selected initial wavelength and a new prediction for the propagation velocity, both in rough agreement with the experimental values. For example, a tubule of initial radius 0.7 mu m has a predicted initial sinusoidal perturbation in its diameter with wavelength 5.5 mu m, as observed. The perturbation propagates as a front with the qualitatively correct front velocity a bit less than 100 mu m/s. In particular we show why this velocity is initially constant, as observed and so much smaller than the natural scale set by the tension. We also predict that the front velocity should increase linearly with laser power. Finally we introduce an approximate hydrodynamic model applicable to the fully nonlinear regime. This model exhibits propagating fronts as well as fully-developed ''pearled'' vesicles similar to those seen in the experiments.
引用
收藏
页码:767 / 796
页数:30
相关论文
共 50 条
  • [11] Van der Waals Interactions between Planar Substrate and Tubular Lipid Membranes Undergoing Pearling Instability
    Valchev, G. S.
    Djondjorov, P. A.
    Vassilev, V. M.
    Dantchev, D. M.
    APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES, 2017, 1895
  • [12] Critical dynamics in the pearling instability of membranes
    BarZiv, R
    Tlusty, T
    Moses, E
    PHYSICAL REVIEW LETTERS, 1997, 79 (06) : 1158 - 1161
  • [14] Pearling and pinching: Propagation of Rayleigh instabilities
    Powers, TR
    Goldstein, RE
    PHYSICAL REVIEW LETTERS, 1997, 78 (13) : 2555 - 2558
  • [15] Pearling, wrinkling, and buckling of vesicles in elongational flows
    Narsimhan, Vivek
    Spann, Andrew P.
    Shaqfeh, Eric S. G.
    JOURNAL OF FLUID MECHANICS, 2015, 777 : 1 - 26
  • [16] INFLUENCE OF FLAME FRONT INSTABILITY ON FLAME PROPAGATION BEHAVIOR
    Mukaiyama, Kenji
    Kuwana, Kazunori
    PROCEEDINGS OF THE ASME/JSME 8TH THERMAL ENGINEERING JOINT CONFERENCE 2011, VOL 1 PTS A AND B, 2011, : 209 - 214
  • [17] Late stages of the pearling instability in lipid bilayers
    Goveas, JL
    Milner, ST
    Russel, WB
    STATISTICAL MECHANICS IN PHYSICS AND BIOLOGY, 1997, 463 : 167 - 172
  • [18] Spontaneous curvature-induced pearling instability
    Chaïeb, S
    Rica, S
    PHYSICAL REVIEW E, 1998, 58 (06): : 7733 - 7737
  • [19] Late stages of the ''pearling'' instability in lipid bilayers
    Goveas, JL
    Milner, ST
    Russel, WB
    JOURNAL DE PHYSIQUE II, 1997, 7 (09): : 1185 - 1204
  • [20] Electrostatic mechanism of pearling instability in charge surfactant tubes
    Nguyen, TT
    Gopal, A
    Lee, KYC
    Witten, TA
    BIOPHYSICAL JOURNAL, 2004, 86 (01) : 370A - 370A