1999
DOI: 10.1063/1.479743
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Improved hydrodynamic interaction in macromolecular bead models

Abstract: The calculation of hydrodynamic properties of macromolecules in terms of bead models requires an adequate description of the hydrodynamic interaction between the spherical elements. For this purpose, the original or modified Oseen tensor are customarily used, although it has been shown that this simple description may lead to erroneous results, particularly for rotational coefficients. In this paper we study several more elaborate theories for multisphere systems. We apply those treatments to our problem of ri… Show more

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Cited by 59 publications
(52 citation statements)
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“…1A). 27 Based on the friction tensors for the hydrodynamic interactions between any pair of such beads, the mobility tensor m ¼ m tt m tr m rt m rr was determined (see ESI †). For a single spherical bead, eqn (1) reduces to a simple equation forr with scalar m tt , because of the irrelevant rotational degrees of freedom (…”
Section: Theoretical Model and Numerical Simulationsmentioning
confidence: 99%
“…1A). 27 Based on the friction tensors for the hydrodynamic interactions between any pair of such beads, the mobility tensor m ¼ m tt m tr m rt m rr was determined (see ESI †). For a single spherical bead, eqn (1) reduces to a simple equation forr with scalar m tt , because of the irrelevant rotational degrees of freedom (…”
Section: Theoretical Model and Numerical Simulationsmentioning
confidence: 99%
“…For this purpose, the shape of the carrier is approximated by a large number of beads that are rigidly connected. The corresponding hydrodynamic calculations based on the Stokes equation for the flow field around a particle at low Reynolds number are performed with the software package HYDRO++ [37,38]. The resulting equation of motion for the carrier is…”
mentioning
confidence: 99%
“…We standardize the magnitude difference by the norm percent deviation (NPD), see Eq. (19), to make the difference comparable across different system configurations, …”
Section: Numerical Resultsmentioning
confidence: 99%
“…19,28,30 Our bead models with scaling greatly improved the accuracy of the rotational tensor block and the whole tensor. The term 0.031(4π R 2 /(N + 12)) 1/2 in the fitted formula of the scaling factor shown in Fig.…”
Section: Discussionmentioning
confidence: 99%
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