Drag Coefficient of a Liquid Domain in a Fluid Membrane Surrounded by Confined Three-Dimensional Fluids

Fujitani, Youhei

doi:10.7566/jpsj.82.084403

Cited by 8 publications

(26 citation statements)

References 23 publications

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“…13. When applied to the membrane considered here, 34,37) the formula gives 2 3 r 0 = ð1Þ, which is consistent with Eq. (3.59).…”

Section: Resultssupporting

confidence: 83%

“…(2.18), (2.24), and (2.25) of Ref. 34. These equations contain the functions E AE ; E þ ð Þ and E À ð Þ should be read respectively as r 2 0 UAð Þ=f ð1 þ Þg and Dð Þ in this paper.…”

Section: Calculationmentioning

confidence: 99%

“…A container wall exists near the membrane in some experimental settings, and the drag coefficient of a liquid domain without the preferential attraction is calculated in some asymmetric surroundings. 34,37,41) Thus, in this subsection, we consider how our theoretical results for the preferential attraction are changed in the confined asymmetric surroundings. We write " 3 ( # 3 ) for the viscosity on the side with z > 0 (< 0Þ, and introduce H " (> 0Þ and H # (> 0Þ so that flat walls lie at z ¼ H " r 0 and ÀH # r 0 .…”

Section: Asymmetric Surroundingsmentioning

confidence: 99%

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Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture

Fujitani

2013

J. Phys. Soc. Jpn.

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We consider a circular liquid domain in a flat fluid membrane surrounded by three-dimensional fluids, and assume that the membrane outside the domain is a two-dimensional near-critical binary fluid mixture. The membrane viscosity outside the domain is assumed to be uniform, irrespective of the local composition, and to be the same as that of the domain. Using the Gaussian free-energy functional, we show that the drag coefficient of the domain can be decreased by the preferential attraction between the domain and a component of the mixture, unlike that of a rigid sphere in a three-dimensional near-critical binary fluid mixture studied recently.

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“…13. When applied to the membrane considered here, 34,37) the formula gives 2 3 r 0 = ð1Þ, which is consistent with Eq. (3.59).…”

Section: Resultssupporting

confidence: 83%

Section: Calculationmentioning

confidence: 99%

Section: Asymmetric Surroundingsmentioning

confidence: 99%

See 1 more Smart Citation

Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture

Fujitani

2013

J. Phys. Soc. Jpn.

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“…Seki, Mogre & Komura (2014) studied the diffusion of a circular liquid domain moving along one of the monolayers with viscosity identical to the domain viscosity while considering the frictional resistance between the monolayers of the lipid bilayer. When the viscosity contrast, defined as the ratio of the difference between the viscosities of the domain and the surrounding membrane and the domain viscosity, is either zero or small, Fujitani (2011Fujitani ( , 2012Fujitani ( , 2013 derived approximate analytical expressions for the drag force on the liquid domain and thus the diffusion coefficient. To compute values of the drag force, certain integrals had to be evaluated numerically or further approximations had to be made.…”

Section: Introductionmentioning

confidence: 99%

“…The authors also mention the difficulty in applying their analysis to the case of a flat membrane as a large number of terms need to be retained in the series solution, leading to difficulty in numerical inversion of a matrix of extremely large size. The works of Aliaskarisohi et al (2010), Fujitani (2011, 2013 and Seki et al (2011Seki et al ( , 2014 assumed the no-slip boundary condition at the membrane-surrounding fluid and the domain-membrane interfaces.…”

Section: Introductionmentioning

confidence: 99%

Drag force on a liquid domain moving inside a membrane sheet surrounded by aqueous medium

Rao

Das

2015

J. Fluid Mech.

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We compute the drag on a circular and liquid microdomain diffusing in a twodimensional fluid lipid bilayer membrane surrounded by a fluid above and below. Under the assumptions that the liquids are incompressible and the flow is of low Reynolds number, Stokes' equations describe the flow in the two-dimensional membrane as well as in the surrounding three-dimensional fluid. The expression for the drag force on the liquid domain involves Fredholm integral equations of the second kind, which we numerically solve using discrete collocation method based on Chebyshev polynomials. We observe that when the domain is more viscous than the surrounding membrane (including the rigid domain case), the drag force is almost independent of the viscosity contrast between the domain and the surrounding membrane, as also observed earlier in experiments by other researchers. The mobility also varies logarithmically with Boussinesq number β for large β. On the other hand, for a less viscous domain the dimensionless drag force reduces with increasing viscosity contrast, and a significant change in the drag force, from that when there is no viscosity contrast or when the domain is rigid, has been observed. Further, the logarithmic behaviour of the mobility no longer holds for less viscous domains. Our method of computing the drag force and diffusion coefficient is valid for arbitrary viscosity contrast between the domain and membrane and any domain size (subject to β 5).

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Two-Point Microrheology of Phase-Separated Domains in Lipid Bilayers

Hormel

Reyer

Parthasarathy

2015

Biophysical Journal

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Though the importance of membrane fluidity for cellular function has been well established for decades, methods for measuring lipid bilayer viscosity remain challenging to devise and implement. Recently, approaches based on characterizing the Brownian dynamics of individual tracers such as colloidal particles or lipid domains have provided insights into bilayer viscosity. For fluids in general, however, methods based on single-particle trajectories provide a limited view of hydrodynamic response. The technique of two-point microrheology, in which correlations between the Brownian dynamics of pairs of tracers report on the properties of the intervening medium, characterizes viscosity at length-scales that are larger than that of individual tracers and has less sensitivity to tracer-induced distortions, but has never been applied to lipid membranes. We present, to our knowledge, the first two-point microrheological study of lipid bilayers, examining the correlated motion of domains in phase-separated lipid vesicles and comparing one- and two-point results. We measure two-point correlation functions in excellent agreement with the forms predicted by two-dimensional hydrodynamic models, analysis of which reveals a viscosity intermediate between those of the two lipid phases, indicative of global fluid properties rather than the viscosity of the local neighborhood of the tracer.

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Drag Coefficient of a Liquid Domain in a Fluid Membrane Surrounded by Confined Three-Dimensional Fluids

Cited by 8 publications

References 23 publications

Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture

Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture

Drag force on a liquid domain moving inside a membrane sheet surrounded by aqueous medium

Two-Point Microrheology of Phase-Separated Domains in Lipid Bilayers

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