2004
DOI: 10.1016/s0021-9797(03)00728-8
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Spatially resolved microrheology through a liquid/liquid interface

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Cited by 17 publications
(23 citation statements)
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“…On the membrane surface (δΩ m ), the integral Equation (5) takes form of (7) The membrane tension γ in the domain-coupling Equation 4is not known a priory and must be found from additional physical considerations. We have chosen the condition of zero dilatation on membrane as a constraint equation: 22 (8) Replacing the velocity vector v(x) in Equation 8by its integral representation given by Equation 7we obtain: (9) with (10) and 11) (12To generalize the approach the governing equations are non-dimensionalized by using the following characteristic scales: length is scaled by the probe radius R, velocity is scaled by the probe approach velocity U, yielding the time scale for imaging as R/U; the membrane tension γ is scaled by μ 1 U (γ-values observed in experiments 23 vary between 2×10 -6 and 2×10 -5 J/ m 2 which, after scaling, give dimensionless values ranging between 0.2 and 2), the membrane bending rigidity B is scaled by μ 1 UR 2 (experimentally observed values for B are in the range 1×10 -20 -7×10 -19 J 24, 25 yielding the scaled values of 0.4 -28), the membrane mean curvature H is scaled by 1/R, and the Gaussian curvature K is scaled by 1/R 2 .…”
Section: Boundary Integral Formulation and Simulation Methodsmentioning
confidence: 99%
“…On the membrane surface (δΩ m ), the integral Equation (5) takes form of (7) The membrane tension γ in the domain-coupling Equation 4is not known a priory and must be found from additional physical considerations. We have chosen the condition of zero dilatation on membrane as a constraint equation: 22 (8) Replacing the velocity vector v(x) in Equation 8by its integral representation given by Equation 7we obtain: (9) with (10) and 11) (12To generalize the approach the governing equations are non-dimensionalized by using the following characteristic scales: length is scaled by the probe radius R, velocity is scaled by the probe approach velocity U, yielding the time scale for imaging as R/U; the membrane tension γ is scaled by μ 1 U (γ-values observed in experiments 23 vary between 2×10 -6 and 2×10 -5 J/ m 2 which, after scaling, give dimensionless values ranging between 0.2 and 2), the membrane bending rigidity B is scaled by μ 1 UR 2 (experimentally observed values for B are in the range 1×10 -20 -7×10 -19 J 24, 25 yielding the scaled values of 0.4 -28), the membrane mean curvature H is scaled by 1/R, and the Gaussian curvature K is scaled by 1/R 2 .…”
Section: Boundary Integral Formulation and Simulation Methodsmentioning
confidence: 99%
“…Depending on the value of this coefficient, the diffusion is classified as normal for α = 1, and as sub-or super-diffusion for α < 1 and α > 1, respectively [20,21]. Importantly, the effective parameter α determines the asymptotic PSD: ( ) = ℑ − ⟨∆ ( )⟩ ~ ( ) [22,23]. Thus, in the case of whole blood where the erythrocytes are the diffusing probes, the shape of P(f) depends on the viscoelasticity of the complex fluid consisting of plasma and macromolecules.…”
Section: Lc-dls Techniquementioning
confidence: 99%
“…This procedure permits isolating the single-scattering component even in optically dense media. 31,32 The temporal uctuations of the intensity resulting from the optical mixing between the back-scattered eld and the reference eld provided by the reection at the end facet of the ber probe are analyzed directly in the frequency domain. It has been shown that, in a range of complex uids, the associated power spectrum of the intensity uctuations can be represented as a superposition of multiple Lorentzian spectra 31,32 Pð…”
Section: Low-coherence Dynamic Light Scatteringmentioning
confidence: 99%