replica-exchange molecular dynamics simulation of small peptide in water and ethanol
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Replica-exchange molecular dynamics simulation of small peptide in water and in ethanol
Koji Yoshida a, Toshio Yamaguchi a,*, Yuko Okamoto b,c,1
a Department of Chemistry, Faculty of Science, Fukuoka University, Nanakuma, Jonan-ku, Fukuoka 814-0180, Japanb Department of Theoretical Studies, Institute for Molecular Science, Okazaki, Aichi 444-8585, Japan
c Department of Functional Molecular Science, The Graduate University for Advanced Studies, Okazaki, Aichi 444-8585, Japan
Received 13 May 2005; in final form 22 June 2005
Available online 25 July 2005
Abstract
Replica-exchange molecular dynamics simulations have been performed on a 10-residue peptide in ethanol as well as in water
that were treated explicitly with 32 replicas in the range of 298–600 K. It has been found that the peptide tends to form compact
structures in ethanol whereas it is extended in water. The numbers of intramolecular hydrogen bonds and turn structures are both
larger in ethanol than in water, and this difference enhances the tendency of forming secondary structures in ethanol.
Ó 2005 Elsevier B.V. All rights reserved.
1. Introduction
Alcohol-induced denaturation of peptides and pro-
teins that enhances the a-helical structure has widely
been used in protein technology [1]. Solvent effects on
denaturation of proteins have often been discussed in
terms of electrostatic interactions by treating medium
as a dielectric continuum in biophysics and biochemistry
fields, but the underlying mechanism has yet to be clar-
ified at the microscopic level [2]. Kinoshita et al. [3] ap-
plied the reference interaction site model (RISM) theory
to calculate the thermodynamic properties of various
conformations of Met-enkephalin and C-peptide frag-
ment of ribonuclease A in methanol, ethanol, and water.Their results showed that alcohols facilitate the peptide
molecules to form the secondary structures with intra-
molecular hydrogen bonds such as the a-helix. They
concluded that the free energy of solvation in alcohols
becomes less dependent on the conformational change
than in water because of less solvation number of pep-tide in alcohols than that in water and that the confor-
mational stability in alcohols is governed mostly by
the conformational energy [3]. However, these results
are based on calculations of solvation energy of a few
fixed solute structures [3]. They selected a few typical
structures of the peptide (native, extended, in vacuum,
and others). Because the solute molecules in water and
in ethanol are always changing their structures, the sol-
ute and solvent molecules should be treated on an equal
basis to discuss the solvent effects more exactly.
Recently, we have investigated liquid structures in
tert-butanol (TBA)–water mixtures without peptideswith a RISM theory [4]. The calculated radial distribu-
tion functions showed that hydrogen-bond formation
between hydrophilic pairs was enhanced as the concen-
tration of large hydrophobic TBA increases (here water
was treated as a hydrophilic molecule). It is thus ex-
pected that hydrophilic interactions within peptides are
more enhanced in ethanol than in water [4].
In simulations of protein folding, a generalized-
ensemble algorithm has been proven effective because
0009-2614/$ - see front matter Ó 2005 Elsevier B.V. All rights reserved.
doi:10.1016/j.cplett.2005.06.114
* Corresponding author. Fax: +81 92 865 6030.
E-mail address: [email protected] (T. Yamaguchi).1 Present address: Department of Physics, Graduate School of
Science, Nagoya University, Furo-cho, Chikusa-ku, Nagoya 464-8602,
Japan.
www.elsevier.com/locate/cplett
Chemical Physics Letters 412 (2005) 280–284
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it overcomes the common problem in protein simula-
tions that they can easily get trapped in one of a huge
number of local-minimum-energy states (for a review,
see [5]). In the present study, one of the generalized-
ensemble algorithms called the replica-exchange molecu-
lar dynamics (REMD) [6] was performed with a 10-res-
idue model peptide in water and in ethanol that weretreated explicitly as individual molecules in order to
compare solvent effects on the peptide conformations.
We have indeed observed quite significant differences
in the behaviors of the peptide in these solvents.
2. Methods
A model peptide of 10 residues was taken from the a-
helix part of 28-residue designed peptide with b – b – a
motif whose 3D structure have been determined by 2D
NMR [7]. The amino-acid sequence is GLUÀ-LEU-
ARG+-ASPÀ-PHE-ILE-GLUÀ-LYS+-PHE-LYS+. The
N-terminus and the C-terminus were taken to be the
usual zwitter ionic groups (NHþ3 and COOÀ, respec-
tively). REMD [6] was incorporated in the MD package
program DL _ POLY [8]. The utilities of DL _ PROTEIN [9],
which is a version of DL _ POLY specified for larger and
complex biomolecular simulations, were used to con-
struct the input files for the model peptide. The force-
field parameters were taken from CHARMM22 [10,11].
For water and ethanol, the TIP3P model [12] and the
OPLS united atom model [13] were used, respectively.
Periodic boundary conditions were imposed. The unit
cell sizes of water and ethanol systems were 31.08 and41.03 A, respectively, which were determined from the
densities of the corresponding bulk solvents at 298 K
and 0.1 MPa. The volume of the cell was fixed and the
temperature was controlled by the Berendsen method
(NVT ensemble). The potential cut-off distance for the
Lennard-Jones interactions was 10 A. The electrostatic
interaction was calculated by the Ewald method. The
structure of the model peptide was taken from the cor-
responding part of the PDB file (PDB code: 1FSD)
and solvated in water. The solvent molecules within
1.5 A from the atoms of the peptide were removed.
The numbers of water and ethanol molecules finally
adopted were 910 and 702, respectively. The time step
was set to 1.0 fs. A canonical MD simulation of this sys-
tem was performed at 600 K for 100 ps (i.e., 105 MD
steps), from which we randomly extracted an extended
structure of the peptide without any secondary struc-
tures. This structure was used as the initial conforma-
tion for all the replicas in both solvent conditions.
Replicas at 32 temperatures from 298 to 600 K were
used for the REMD simulations. Their values were
298, 305, 311, 316, 323, 330, 337, 345, 353, 361, 369,
378, 387, 396, 405, 414, 424, 433, 443, 454, 464, 475,
486, 498, 510, 523, 535, 547, 560, 573, 587, and 600 K.
After an equilibration canonical MD run at each tem-
perature for 10 ps, a production REMD simulation of
106 time steps (1.0 ns) for each replica was finally per-
formed. Replica exchange was tried every 100 MD steps
(0.1 ps). The data from trajectories were stored every
1000 MD steps (1 ps) for later analysis.
3. Results and discussion
3.1. Results of REMD simulations
We first examine whether the REMD simulations
were performed properly. Each replica of the REMD
simulations should realize a random walk in the temper-
ature space, which in turn induces a random walk in the
potential energy space. We depict in Fig. 1 the time
series of temperature and potential energy for one of
the replicas during the REMD simulation in ethanol.
We observe a random walk between the lowest temper-
ature (298 K) and the highest temperature (600 K) in
Fig. 1a. Likewise, we do observe in Fig. 1b a random
walk in the potential energy space, which covers a range
as large as %2300 kcal molÀ1. Note that there is a strong
Fig. 1. Time series of: (a) temperature and (b) total potential energy in
ethanol for one of the replicas.
K. Yoshida et al. / Chemical Physics Letters 412 (2005) 280–284 281
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correlation between the two random walks as there
should be. All the other replicas exhibit essentially thesame behavior. To be more quantitative, it is required
for an optimal performance of REMD simulations that
the acceptance ratios of the replica exchange should be
uniform and sufficiently large (say, >10%). The accep-
tance ratios of the replica exchange from the REMD
simulation in water range from 12% to 21%, while those
from the REMD simulation in ethanol range from 11%
to 23%. Therefore, we conclude that the present REMDsimulations performed properly.
3.2. The radii of gyration of the peptide in water and
ethanol
The radii of gyration of the model peptide at different
temperatures in water and ethanol are shown in Fig. 2.
The radius of gyration, Rg, is defined here by
R2g ¼
1
N
X N
i¼1
ðri À rÞ2; ð1Þ
where N , ri , and r ð¼
1 N P N
i¼1riÞ are the total number of the atoms in the peptide, the coordinate vector of atom
Fig. 2. Radii of gyration of the peptide in water (open circles) and in
ethanol (filled circles) at 32 temperatures of the REMD simulations.
Fig. 3. Snapshots of the peptide: (a) in water and (b,c) in ethanol. Hydrogen atoms in the peptide and solvent molecules are suppressed for clarity.
Red and blue parts in (c) indicate a-helix and turn structures, respectively, depicted by the RASMOL program.
282 K. Yoshida et al. / Chemical Physics Letters 412 (2005) 280–284
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i , and the center of geometry of the peptide, respectively.
The Rg values in water are larger than those in ethanol
at all the temperatures. The results indicate that the pep-
tide tends to take more compact structures in ethanol
than in water. Moreover, the Rg values in water are al-
most constant throughout the temperatures, whereas
those in ethanol tend to decrease with increasing temper-ature. This trend suggests that the electrostatic interac-
tions within the peptide are strengthened in ethanol
than in water and that these interactions are further
strengthened in ethanol as the temperature is raised.
Note that 6 out of 10 residues of this peptide are
charged. This is why the above effects are outstanding.
3.3. Secondary structure of the peptide in water and in
ethanol
Snapshots from the simulations in these solvents are
shown in Fig. 3. For the simulation in water (Fig. 3a),
we see that the side chains of all the charged residues
are pointed away from the peptide backbone and hy-
drated with bulk water. Therefore, the backbone struc-
ture is extended. For the simulation in ethanol
(Fig. 3b), on the other hand, we see that all the side
chains of charged residues (GLU-1À, ARG-3+, ASP-
4À, GLU-7À, LYS-8+, and LYS-10+) are electrostati-
cally attracted to the other parts of the peptide. The
backbone conformation is thus compact. These results
support the above claim that intrachain electrostatic
interactions are more strengthened in ethanol than in
water. These intrachain interactions enhance second-
ary-structure formation more in ethanol than in water.While no secondary structures were seen at all in water
during the REMD simulation, we did observe forma-
tions of an a-helix structure in ethanol as shown in
Fig. 3c, though the a-helix appeared less than 1% of
the time in ethanol during the REMD simulation at
all temperatures.
Fig. 4 shows the number of turn structures and the
number of intramolecular hydrogen bonds of the pep-
tide in water and in ethanol. Both numbers are larger
in ethanol than in water. These findings suggest that
the intramolecular interactions, such as the intramolec-
ular hydrogen bonds, in the peptide are dominant in
forming the structures of the peptide in ethanol, in com-
parison with those in water. A previous RISM calcula-
tion of TBA–water mixtures has shown that the
probability of hydrogen-bond formation of water–water
pairs increases as the concentration of TBA increases [4];
there, we considered water as hydrophilic solute mole-
cules. In water, the hydrophilic groups of the peptide
are exposed to bulk water to form hydrogen bonds with
water molecules. In ethanol, on the other hand, the sol-
vent molecule has a large hydrophobic part as well as a
hydrophilic part. Under this condition, the hydrophilic
groups of the peptide tend to combine with each other,
resulting in a compact structure via the intramolecular
hydrogen bonds.
4. Conclusions
We have compared the solvent effects of pure water
and pure ethanol on the conformations of a small pep-
tide. We have found that the peptide tends to form a
compact structure in ethanol, while it is extended in
water. This is ascribed to the strengthening of intramo-
lecular electrostatic interactions in the peptide in etha-
nol. Although definite secondary-structure formations
are rarely observed in both solvent conditions, intra-
chain hydrogen-bond formations are more enhanced in
ethanol than in water. We interpret this finding as a con-
sequence of strong side-chain electrostatic interactions,
because as many as 6 out of 10 residues are charged.
These interactions actually hinder the formation of
backbone secondary structures. We expect clear
enhancement in secondary-structure formations, such
as a-helices, in ethanol than in water when we replace
Fig. 4. Numbers of: (a) intramolecular hydrogen bonds and (b) the
turn structures of the peptide in water (open circles) and in ethanol
(filled circles) at 32 temperatures of the REMD simulations.
K. Yoshida et al. / Chemical Physics Letters 412 (2005) 280–284 283
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some of the charged residues by a-helix-forming neutral
ones.
Acknowledgments
The present work was supported by the Joint Study
Program (2002–2003) of the Institute for Molecular Sci-ence and Grants-in-Aid for Young Scientists (No.
13740335, K.Y.), for Scientific Research in Priority
Areas, ÔWater and BiomoleculesÕ, and for the NAREGI
Nanoscience Project from the Ministry of Education,
Culture, Sports, Science and Technology of Japan.
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