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Biophys J, September 2000, p. 1180-1187, Vol. 79, No. 3

and
*Department of Biochemistry, George S. Wise Faculty of Life
Sciences, Tel Aviv University, Ramat Aviv 69978, Israel;
Department of Biochemistry and Molecular Biophysics, and
Center for Biomolecular Simulations, Columbia University, New York, New
York 10032 USA;
Department of Chemistry, The College of
William and Mary, Williamsburg, Virginia 23187-8795 USA; and
§Department of Physical Chemistry and The Fritz Haber
Research Center, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
The association of two species to form a bound complex,
e.g., the binding of a ligand to a protein or the adsorption of a peptide on a lipid membrane, involves an entropy loss, reflecting the
conversion of free translational and rotational degrees of freedom into
bound motions. Previous theoretical estimates of the standard entropy
change in bimolecular binding processes,
So,
have been derived from the root-mean-square fluctuations in protein
crystals, suggesting
So
50 e.u.,
i.e., T
S°
25 kT =
15 kcal/mol. In
this work we focus on adsorption, rather than binding processes. We
first present a simple statistical-thermodynamic scheme for calculating the adsorption entropy, including its resolution into translational and
rotational contributions, using the known distance-orientation dependent binding (adsorption) potential. We then utilize this scheme
to calculate the free energy of interaction and entropy of pentalysine
adsorption onto a lipid membrane, obtaining
T
So
1.7 kT
1.3 kcal/mol. Most of this entropy change is due to the
conversion of one free translation into a bound motion, the rest
arising from the confinement of two rotational degrees of freedom. The
smaller entropy loss in adsorption compared to binding processes arises
partly because a smaller number of degrees of freedom become
restricted, but mainly due to the fact that the binding potential is
much "softer."
Biophys J, September 2000, p. 1180-1187, Vol. 79, No. 3
© 2000 by the Biophysical Society 0006-3495/00/09/1180/08 $2.00
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