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

Fujitani, Youhei

doi:10.7566/jpsj.82.124601

Cited by 11 publications

(1 citation statement)

References 37 publications

(43 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Similarly to what happens for the interaction between proteins, the strongest effect on the mobility is expected close to the demixing transition (see also Ref. [48] for a careful calculation of the drag coefficient of a diffusing domain in a near critical binary mixture).…”

Section: Coupling To the Compositionmentioning

confidence: 76%

Mechanical Factors Affecting the Mobility of Membrane Proteins

Démery

Lacoste

2018

Physics of Biological Membranes

View full text Add to dashboard Cite

The mobility of membrane proteins controls many biological functions. The application of the model of Saffman and Delbrück to the diffusion of membrane proteins does not account for all the experimental measurements. These discrepancies have triggered a lot of studies on the role of the mechanical factors in the mobility. After a short review of the Saffman and Delbrück model and of some key experiments, we explore the various ways to incorporate the effects of the different mechanical factors. Our approach focuses on the coupling of the protein to the membrane, which is the central element in the modelling. We present a general, polaron-like model, its recent application to the mobility of a curvature sensitive protein, and its various extensions to other couplings that may be relevant in future experiments.

show abstract

Section: Coupling To the Compositionmentioning

confidence: 76%

Mechanical Factors Affecting the Mobility of Membrane Proteins

Démery

Lacoste

2018

Physics of Biological Membranes

View full text Add to dashboard Cite

show abstract

Drag coefficient of a liquid domain with distinct viscosity in a fluid membrane

Tani

Fujitani

2017

J. Fluid Mech.

View full text Add to dashboard Cite

We calculate the drag coefficient of a circular liquid domain in a flat fluid membrane surrounded by three-dimensional fluids on both sides. The coefficient of a rigid disk is well known, while that of a circular liquid domain is also well known when the membrane viscosity inside the domain equals the one outside the domain. As the ratio of the former viscosity to the latter increases to infinity, the drag coefficient of a liquid domain should approach that of the disk of the same size in the same ambient viscosities. This approach has not yet been shown explicitly, however. When the ratio is not unity, the continuity of the stress makes the velocity gradient discontinuous across the domain perimeter in the membrane. On the other hand, the velocity gradient is continuous in the ambient fluids, whose velocity field should agree with that of the membrane as the spatial point approaches the membrane. This means that we need to assume dipole singularity along the domain perimeter in solving the governing equations unless the ratio is unity. In the present study, we take this singularity into account and obtain the drag coefficient of a liquid domain as a power series with respect to a dimensionless parameter, which equals zero when the ratio is unity and approaches unity when the ratio tends to infinity. As the parameter increases to unity, the sum of the series is numerically shown to approach the drag coefficient of the disk.

show abstract

Undulation amplitude of a fluid membrane surrounded by near-critical binary fluid mixtures

Fujitani

2015

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

We consider the thermal undulation, or shape fluctuation, of an almost planar fluid membrane surrounded by the same near-critical binary fluid mixtures on both sides. A weak preferential attraction is assumed between the membrane and one component of the mixture. We use the Gaussian free-energy functional to study the equilibrium average of the undulation amplitude within the linear approximation with respect to the amplitude. According to our result given by a simple analytic formula, the ambient near-criticality tends to suppress the undulation of a membrane, and this suppression effect can overwhelm that of the bending rigidity for small wave numbers. Thus, the ambient near-criticality is suggested to prevent a large membrane from becoming floppy even if the lateral tension vanishes at the equilibrium.

show abstract

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

Cited by 11 publications

References 37 publications

Mechanical Factors Affecting the Mobility of Membrane Proteins

Mechanical Factors Affecting the Mobility of Membrane Proteins

Drag coefficient of a liquid domain with distinct viscosity in a fluid membrane

Undulation amplitude of a fluid membrane surrounded by near-critical binary fluid mixtures

Contact Info

Product

Resources

About