Chemistry Reference
In-Depth Information
Table 7.1 Benchmark HP sequences used in this text
Seq. code
Reference
Sequence
2D50
[ 15 ]
HHPHPHPHPHHHHPHPPPHPPPHPPPPHPPPHPPPHPH
HHHPHPHPHPHH
2D60
[ 15 ]
PPHHHPHHHHHHHHPPPHHHHHHHHHHPHPPPHHHHH
HHHHHHHPPPPHHHHHHPHHPHP
2D64
[ 15 ]
HHHHHHHHHHHHPHPHPPHHPPHHPPHPPHHPPHHPP
HPPHHPPHHPPHPHPHHHHHHHHHHHH
2D85
[ 16 ]
HHHHPPPPHHHHHHHHHHHHPPPPPPHHHHHHHHHHH
HPPPHHHHHHHHHHHHPPPHHHHHHHHHHHHPPPHPP
HHPPHHPPHPH
2D100a
[ 17 ]
PPPPPPHPHHPPPPPHHHPHHHHHPHHPPPPHHPPHH
PHHHHHPHHHHHHHHHHPHHPHHHHHHHPPPPPPPPP
PPHHHHHHHPPHPHHHPPPPPPHPHH
2D100b
[ 17 ]
PPPHHPPHHHHPPHHHPHHPHHPHHHHPPPPPPPPHH
HHHHPPHHHHHHPPPPPPPPPHPHHPHHHHHHHHHHH
PPHHHPHHPHPPHPHHHPPPPPPHHH
3D42
[ 18 ]
PHHPHPHHPHPHPPHHHPHPHHPHPHHHPPHPHPHHP
HPHHP
3D48
[ 19 ]
PHPHPPPPHPHPHPPHPHHHHHHPPHHHPHPPHPHHP
PHPHHHPPPPH
3D67
[ 18 ]
PHPHHPHHPHPPHHHPPPHPHHPHHPHPPHHHPPPHP
HHPHHPHPPHHHPPPHPHHPHHPHPPHHHP
3D88
[ 20 ]
PHPHHPHHPHPPHHPPHPPHPPHPPHPPHPPHHPPHHH
PPHHHPPHHHPPHHHPPHPHHPHHPHPPHPPHPPHHP
3D103
[ 21 ]
PPHHPPPPPHHPPHHPHPPHPPPPPPPHPPPHHPHHP
PPPPPHPPHPHPPHPPPPPHHHPPPPHHPHHPPPPPH
HPPPPHHHHPHPPPPPPPPHHHHHPPHPP
3D124
[ 21 ]
PPPHHHPHPPPPHPPPPPHHPPPPHHPPHHPPPPHPP
PPHPPHPPHHPPPHHPHPHHHPPPPHHHPPPPPPHHP
PHPPHPHPPHPPPPPPPHPPHHHPPPPHPPPHHHHHP
PPPHHPHPHPHPH
3D136
[ 21 ]
HPPPPPHPPPPHPHHPHHPPPPHPHHHPPPPHPHPHH
HHPPPPPPPPPPPHPPHPPPHPHHPPPHHPPHPPHPH
PHPPPPPPPPHPPPHHHHHHPPPHHPPHHHPPPHHPH
HHHHPPPPPPPPPHPPPPHPHPPPP
7.2.2 Numerical Methods
Previous work showed that the knowledge of the free energy landscape and the ther-
modynamics of a protein system is essential to completely understand the folding
process [ 2 , 22 , 23 ], and thus Monte Carlo (MC) methods are indispensable tools
for this purpose [ 24 ]. The configurations of a polymer may be studied using the
traditional Metropolis method [ 25 ], but the complexity of the resultant free energy
surface at low temperature renders the method extremely inefficient [ 26 ]. Two
approaches have been taken to resolve the problem. One is to search only for the
ground state configuration with the lowest energy, e.g., MC with minimization
[ 27 ], simulated annealing [ 28 ], genetic algorithms [ 15 ], pruned-enriched Rosen-
bluth method (PERM) [ 29 ] and its variants [ 30 , 31 ], tabu search [ 32 ], evolution-
 
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