Computational techniques for accurate and efficient prediction of protein-protein complex structures are widely used for elucidating protein-protein interactions, which play important roles in biological systems. Recently, it has been reported that selecting a structure similar to the native structure among generated structure candidates (decoys) is possible by calculating binding free energies of the decoys based on all-atom molecular dynamics (MD) simulations with explicit solvent and the solution theory in the energy representation, which is called evERdock. A recent version of evERdock achieves a higher-accuracy decoy selection by introducing MD relaxation and multiple MD simulations/energy calculations; however, huge computational cost is required. In this paper, we propose an efficient decoy selection method using evERdock and the best arm identification (BAI) framework, which is one of the techniques of reinforcement learning. The BAI framework realizes an efficient selection by suppressing calculations for nonpromising decoys and preferentially calculating for the promising ones. We evaluate the performance of the proposed method for decoy selection problems of three protein-protein complex systems. Their results show that computational costs are successfully reduced by a factor of 4.05 (in the best case) compared to a standard decoy selection approach without sacrificing accuracy.

2.
M. F.
Lensink
and
S. J.
Wodak
,
Proteins: Struct., Funct., Bioinf.
81
,
2082
(
2013
).
3.
O.
Keskin
,
A.
Gursoy
,
B.
Ma
, and
R.
Nussinov
,
Chem. Rev.
108
,
1225
(
2008
).
4.
I.
Halperin
,
B.
Ma
,
H.
Wolfson
, and
R.
Nussinov
,
Proteins: Struct., Funct., Bioinf.
47
,
409
(
2002
).
5.
G. R.
Smith
and
M. J.
Sternberg
,
Curr. Opin. Struct. Biol.
12
,
28
(
2002
).
6.
S.
Vajda
and
D.
Kozakov
,
Curr. Opin. Struct. Biol.
19
,
164
(
2009
).
7.
M. F.
Lensink
,
S.
Velankar
, and
S. J.
Wodak
,
Proteins: Struct., Funct., Bioinf.
85
,
359
(
2017
).
8.
H. A.
Gabb
,
R. M.
Jackson
, and
M. J. E.
Sternberg
,
J. Mol. Biol.
272
,
106
(
1997
).
9.
R.
Chen
and
Z. P.
Weng
,
Proteins: Struct., Funct., Bioinf.
47
,
281
(
2002
).
10.
J. I.
Garzon
,
J. R.
Lopez-Blanco
,
C.
Pons
,
J.
Kovacs
,
R.
Abagyan
,
J.
Fernandez-Recio
, and
P.
Chacon
,
Bioinformatics
25
,
2544
(
2009
).
11.
D. W.
Ritchie
and
V.
Venkatraman
,
Bioinformatics
26
,
2398
(
2010
).
12.
B. G.
Pierce
,
Y.
Hourai
, and
Z. P.
Weng
,
PLoS One
6
,
324657
(
2011
).
13.
D.
Padhorny
,
A.
Kazennov
,
B. S.
Zerbe
,
K. A.
Porter
,
B.
Xia
,
S. E.
Mottarella
,
Y.
Kholodov
,
D. W.
Ritchie
,
S.
Vajda
, and
D.
Kozakov
,
Proc. Natl. Acad. Sci. U. S. A.
113
,
E4286
E4293
(
2016
).
14.
C.
Dominguez
,
R.
Boelens
, and
A. M.
Bonvin
,
J. Am. Chem. Soc.
125
,
1731
(
2003
).
15.
J. J.
Gray
,
S.
Moughon
,
C.
Wang
,
O.
Schueler-Furman
,
B.
Kuhlman
,
C. A.
Rohl
, and
D.
Baker
,
J. Mol. Biol.
331
,
281
(
2003
).
16.
M.
Zacharias
,
Protein Sci.
12
,
1271
(
2003
).
17.
S.
Chaudhury
and
J. J.
Gray
,
J. Mol. Biol.
381
,
1068
(
2008
).
18.
X.
Li
,
I. H.
Moal
, and
P. A.
Bates
,
Proteins: Struct., Funct., Bioinf.
78
,
3189
(
2010
).
19.
K.
Takemura
,
N.
Matubayasi
, and
A.
Kitao
,
J. Chem. Phys.
148
,
105101
(
2018
).
20.
A.
Shinobu
,
K.
Takemura
,
N.
Matubayasi
, and
A.
Kitao
,
J. Chem. Phys.
149
,
195101
(
2018
).
21.
N.
Matubayasi
and
M.
Nakahara
,
J. Chem. Phys.
119
,
9686
(
2003
).
22.
N.
Matubayasi
and
M.
Nakahara
,
J. Chem. Phys.
113
,
6070
(
2000
).
23.
N.
Matubayasi
and
M.
Nakahara
,
J. Chem. Phys.
117
,
3605
(
2002
);
Erratum,
118
,
2446
(
2003
).
24.
K.
Takemura
,
H.
Guo
,
S.
Sakuraba
,
N.
Matubayasi
, and
A.
Kitao
,
J. Chem. Phys.
137
,
215105
(
2012
).
25.
P.
Auer
,
N.
Cesa-Bianchi
, and
P.
Fischer
,
Mach. Learn.
47
,
235
(
2002
).
26.
S.
Bubeck
,
R.
Munos
, and
G.
Stoltz
, in
Proceedings of the Algorithmic Learning Theory
(
Springer, Berlin, Heidelberg
,
2009
), Vol. 5809.
27.
D.
Silver
,
A.
Huang
,
C. J.
Maddison
,
A.
Guez
,
L.
Sifre
,
G.
van den Driessche
,
J.
Schrittwieser
,
I.
Antonoglou
,
V.
Panneershelvam
,
M.
Lanctot
 et al.,
Nature
529
,
484
(
2016
).
28.
M.
Popova
,
O.
Isayev
, and
A.
Tropsha
,
Sci. Adv.
4
,
eaap7885
(
2018
).
29.
X.
Yang
,
J.
Zhang
,
K.
Yoshizoe
,
K.
Terayama
, and
K.
Tsuda
,
Sci. Technol. Adv. Mater.
18
,
972
(
2017
).
30.
K.
Shin
,
D. P.
Tran
,
K.
Takemura
,
A.
Kitao
,
K.
Terayama
, and
K.
Tsuda
,
ACS Omega
4
,
13853
(
2019
).
31.
S. S.
Villar
,
J.
Bowden
, and
J.
Wason
,
Stat. Sci.
30
,
199
(
2015
).
32.
L.
Li
,
W.
Chu
,
J.
Langford
, and
R. E.
Schapire
, in
Proceedings of the 19th International Conference on World Wide Web
(
ACM
,
2010
), p.
661
.
33.
K.
Terayama
,
H.
Iwata
,
M.
Araki
,
Y.
Okuno
, and
K.
Tsuda
,
Bioinformatics
34
,
770
(
2018
).
34.
J.
Sevcík
,
L.
Urbanikova
,
Z.
Dauter
, and
K. S.
Wilson
,
Acta Crystallogr., Sect. D: Biol. Crystallogr.
54
,
954
(
1998
).
35.
W.
Bode
,
H. J.
Greyling
,
R.
Huber
,
J.
Otlewski
, and
T.
Wilusz
,
FEBS Lett.
242
,
285
(
1989
).
36.
Y.
Takeuchi
,
S.
Noguchi
,
Y.
Satow
,
S.
Kojima
,
I.
Kumagai
,
K.
Miura
,
K. T.
Nakamura
, and
Y.
Mitsui
,
Protein Eng. Des. Sel.
4
,
501
(
1991
).
37.
V.
Gabillon
,
M.
Ghavamzadeh
, and
A.
Lazaric
, in
Proceedings of Advances in Neural Information Processing Systems
(
NIPS Foundation, Cocos Islands
,
2012
), p.
3212
.
38.
J.-Y.
Audibert
,
S.
Bubeck
, and
R.
Munos
, in
Proceedings of Conference on Learning Theory
(
ACL
,
2010
), Vol. 13.
39.
R.
Chen
,
L.
Li
, and
Z.
Weng
,
Proteins: Struct., Funct., Bioinf.
52
,
80
(
2003
).
40.
B.
Pierce
and
Z.
Weng
,
Proteins: Struct., Funct., Bioinf.
67
,
1078
(
2007
).
41.
A.
Leaver-Fay
,
M.
Tyka
,
S. M.
Lewis
,
O. F.
Lange
,
J.
Thompson
,
R.
Jacak
,
K.
Kaufman
,
P. D.
Renfrew
,
C. A.
Smith
,
W.
Sheffler
 et al.,
Methods Enzymol.
487
,
545
(
2011
).
42.
P. J.
Kundrotas
,
I.
Anishchenko
,
T.
Dauzhenka
,
I.
Kotthoff
,
D.
Mnevets
,
M. M.
Copeland
, and
I. A.
Vakser
,
Protein Sci.
27
,
172
(
2018
).
43.
G. A.
Ross
,
G. M.
Morris
, and
P. C.
Biggin
,
PLoS One
7
,
e32036
(
2012
).
44.
O.
Trott
and
A. J.
Olson
,
J. Comput. Chem.
31
,
455
(
2010
).
45.
J. C.
Phillips
,
R.
Braun
,
W.
Wang
,
J.
Gumbart
,
E.
Tajkhorshid
,
E.
Villa
,
C.
Chipot
,
R. D.
Skeel
,
L.
Kalé
, and
K. J.
Schulten
,
J. Comput. Chem.
26
,
1781
(
2005
).
46.
J.
Huang
,
S.
Rauscher
,
G.
Nawrocki
,
T.
Ran
,
M.
Feig
,
B. L.
de Groot
,
H.
Grubmüller
, and
A. D.
MacKerell
, Jr.
,
Nat. Methods
14
,
71
(
2017
).
47.
W.
Humphrey
,
A.
Dalke
, and
K.
Schulten
,
J. Mol. Graphics
14
,
33
(
1996
).
48.
S.
Sakuraba
and
N.
Matubayasi
,
J. Comput. Chem.
35
,
1592
(
2014
).

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