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Frictional properties of nonspherical multisubunit structures. Application to tubules and cylinders

Identifieur interne : 000B07 ( Istex/Corpus ); précédent : 000B06; suivant : 000B08

Frictional properties of nonspherical multisubunit structures. Application to tubules and cylinders

Auteurs : J. A. Mccammon ; J. M. Deutch

Source :

RBID : ISTEX:5B730C08C20E572797FC8A37D1F07F477630624C

English descriptors

Abstract

Methods are described for numerical calculation of the anisotropic components of the translational and rotational friction coefficient tensors and of the intrinsic viscosity for rigid multisubunit structures in dilute solution. The methods apply to assemblies of any shape, provided that translation–rotation coupling is negligible. Application is made to short cylindrical and tubular structures. Anomalous results arise when the Oseen tensor is used to describe the hydrodynamic interaction of the subunits, but these are corrected by use of a modified tensor. Transport coefficients for hollow tubules with typical supramolecular dimensions are found to be nearly the same as those for the corresponding solid cylinders. The Scheraga–Mandelkern equation is found to be useful for the determination of the molecular weights of such structures. For long hollow structures such as microtubules, use of the corresponding solid cylinder or wormlike chain equations should be adequate for interpreting hydrodynamic studies.

Url:
DOI: 10.1002/bip.1976.360150712

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ISTEX:5B730C08C20E572797FC8A37D1F07F477630624C

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<p>Methods are described for numerical calculation of the anisotropic components of the translational and rotational friction coefficient tensors and of the intrinsic viscosity for rigid multisubunit structures in dilute solution. The methods apply to assemblies of any shape, provided that translation–rotation coupling is negligible.</p>
<p>Application is made to short cylindrical and tubular structures. Anomalous results arise when the Oseen tensor is used to describe the hydrodynamic interaction of the subunits, but these are corrected by use of a modified tensor. Transport coefficients for hollow tubules with typical supramolecular dimensions are found to be nearly the same as those for the corresponding solid cylinders. The Scheraga–Mandelkern equation is found to be useful for the determination of the molecular weights of such structures. For long hollow structures such as microtubules, use of the corresponding solid cylinder or wormlike chain equations should be adequate for interpreting hydrodynamic studies.</p>
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<p>John Simon Guggenheim fellow 1974–1975.</p>
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<title>Frictional properties of nonspherical multisubunit structures. Application to tubules and cylinders</title>
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<title>NONSPHERICAL MULTISUBUNIT STRUCTURES</title>
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<title>Frictional properties of nonspherical multisubunit structures. Application to tubules and cylinders</title>
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<name type="personal">
<namePart type="given">J. A.</namePart>
<namePart type="family">McCammon</namePart>
<affiliation>Department of Chemistry, Harvard University, Cambridge, Massachusetts 02138</affiliation>
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<name type="personal">
<namePart type="given">J. M.</namePart>
<namePart type="family">Deutch</namePart>
<affiliation>Department of Chemistry, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139</affiliation>
<description>John Simon Guggenheim fellow 1974–1975.</description>
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<abstract lang="en">Methods are described for numerical calculation of the anisotropic components of the translational and rotational friction coefficient tensors and of the intrinsic viscosity for rigid multisubunit structures in dilute solution. The methods apply to assemblies of any shape, provided that translation–rotation coupling is negligible. Application is made to short cylindrical and tubular structures. Anomalous results arise when the Oseen tensor is used to describe the hydrodynamic interaction of the subunits, but these are corrected by use of a modified tensor. Transport coefficients for hollow tubules with typical supramolecular dimensions are found to be nearly the same as those for the corresponding solid cylinders. The Scheraga–Mandelkern equation is found to be useful for the determination of the molecular weights of such structures. For long hollow structures such as microtubules, use of the corresponding solid cylinder or wormlike chain equations should be adequate for interpreting hydrodynamic studies.</abstract>
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