Adsorption of a macromolecule to a charged surface

F.W. Wiegel

Research output: Contribution to journalArticleAcademic

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Abstract

The adsorption of a charged macromolecule to a charged surface under the influence of a weak electrostatic attraction is investigated. The probability density P(x,N) to find the end point of a molecule with N monomer units at distance x from the surface is calculated analytically. In the limit N to infinity this function shows a phase transition at a critical value ( theta c) of the adsorption energy in units if kBT: for theta > theta cP(x,N) is peaked near the surface and the molecule is effectively adsorbed to the surface; for theta < theta c the heat motion is strong enough to remove the molecule from the surface and P(x,N) is effectively constant throughout the whole available volume. A possible role of such conformational phase transitions in the regulation of cellular metabolism is briefly commented on.
Original languageEnglish
Pages (from-to)299-303
JournalJournal of physics A: mathematical and general
Volume10
Issue number2
DOIs
Publication statusPublished - 1977

Fingerprint

Macromolecules
macromolecules
Adsorption
adsorption
Molecules
Phase Transition
Phase transitions
molecules
Unit
metabolism
End point
Probability Density
Metabolism
Electrostatics
infinity
attraction
Critical value
monomers
Heat
Monomers

Keywords

  • IR-60484

Cite this

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Adsorption of a macromolecule to a charged surface. / Wiegel, F.W.

In: Journal of physics A: mathematical and general, Vol. 10, No. 2, 1977, p. 299-303.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - Adsorption of a macromolecule to a charged surface

AU - Wiegel, F.W.

PY - 1977

Y1 - 1977

N2 - The adsorption of a charged macromolecule to a charged surface under the influence of a weak electrostatic attraction is investigated. The probability density P(x,N) to find the end point of a molecule with N monomer units at distance x from the surface is calculated analytically. In the limit N to infinity this function shows a phase transition at a critical value ( theta c) of the adsorption energy in units if kBT: for theta > theta cP(x,N) is peaked near the surface and the molecule is effectively adsorbed to the surface; for theta < theta c the heat motion is strong enough to remove the molecule from the surface and P(x,N) is effectively constant throughout the whole available volume. A possible role of such conformational phase transitions in the regulation of cellular metabolism is briefly commented on.

AB - The adsorption of a charged macromolecule to a charged surface under the influence of a weak electrostatic attraction is investigated. The probability density P(x,N) to find the end point of a molecule with N monomer units at distance x from the surface is calculated analytically. In the limit N to infinity this function shows a phase transition at a critical value ( theta c) of the adsorption energy in units if kBT: for theta > theta cP(x,N) is peaked near the surface and the molecule is effectively adsorbed to the surface; for theta < theta c the heat motion is strong enough to remove the molecule from the surface and P(x,N) is effectively constant throughout the whole available volume. A possible role of such conformational phase transitions in the regulation of cellular metabolism is briefly commented on.

KW - IR-60484

U2 - 10.1088/0305-4470/10/2/018

DO - 10.1088/0305-4470/10/2/018

M3 - Article

VL - 10

SP - 299

EP - 303

JO - Journal of physics A: mathematical and theoretical

JF - Journal of physics A: mathematical and theoretical

SN - 1751-8113

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ER -