SIMULATION OF FOLDING PATHWAY STUDIES OF TRP...
Transcript of SIMULATION OF FOLDING PATHWAY STUDIES OF TRP...
SIMULATION OF FOLDING PATHWAY STUDIES OF TRP-CAGE
MINIPROTEIN, AMYLOID A4 PEPTIDE AND α-CONOTOXIN RgIA PEPTIDE
FATAHIYA BTE MOHAMED TAP
UNIVERSITI TEKNOLOGI MALAYSIA
SIMULATION OF FOLDING PATHWAY STUDIES OF TRP-CAGE
MINIPROTEIN, AMYLOID A4 PEPTIDE, AND α-CONOTOXIN RgIA PEPTIDE
FATAHIYA BTE MOHAMED TAP
A thesis submitted in fulfilment of the
requirements for the award of the degree of
Master of Engineering (Bioprocess)
Faculty of Chemical Engineering
Universiti Teknologi Malaysia
DEC 2013
iii
ACKNOWLEDGEMENT
I would like to express the deepest appreciation and sincere gratitude to my
supervisor, Dr. Nurul Bahiyah Ahmad Khairudin for her valuable guidance,
supervision and endless support throughout my study. Her knowledge and advice had
made this study possible.
My special thanks to all the members at UTM and Pharmaceutical Design
and Simulation Laboratory, School of Pharmaceutical, Universiti Sains Malaysia for
their friendship, support and help during my training session.
I also wish to express my gratitude and love to my parents, husband and
family for their encouragement, motivation and understanding during my study.
iv
ABSTRACT
Protein is a sequence of a linear chain of amino acids. Protein folding is a
physical process by which the linear chains of amino acid fold into its functional
tertiary structures. Misfolding of a protein will lead to the problem such as diseases
(cancer and influenza) in protein function. Discovery of protein folding will help the
biologist to find the cause of misfolding and also assist the drug designer to find the
cure for related diseases. Therefore the objective of this study is to investigate the
folding pathways of Trp-cage miniprotein, Amyloid A4 peptide, and α-conotoxin
RgIA. The folding process was simulated using molecular dynamics (MD)
simulation in both explicit and implicit solvent. Amyloid A4 peptide (350ns) and α-
conotoxin (800ns) were simulated in implicit solvent, while the simulation for Trp-
cage (150ns) and α-conotoxin (200ns) were performed in explicit solvent method.
The simulations produced a huge number of trajectories which were further analysed
based on their root mean squared deviation (RMSD) values. The RMSD values
showed that these trajectories approaching their simulated native structure (NMRMD).
Besides that, a few crucial formations of hydrogen bond, disulfide bond, and salt
bridge were involved in stabilizing the folding process. The best structure was
identified by clustering all the trajectories based on RMSD, solvent accessible
surface area (SASA), van der Waals interaction, electrostatic interactions and total
energy of each trajectory. The best structure for Trp-cage miniprotein, Amyloid A4
peptide, α-conotoxin with implicit solvent and, α-conotoxin with explicit solvent
were extracted at 79.76 ns, 224.85 ns, 184.20, and 104.20 ns, respectively.
v
ABSTRAK
Protein merupakan jujukan rantaian asid amino. Lipatan protein adalah satu
proses fizikal di mana rantaian lurus asid amino membentuk kepada lipatan struktur
tiga dimensi. Kesalahan lipatan protein akan mendorong kepada permasalahan
penyakit (kanser dan influenza) dalam fungsi protein. Mengetahui laluan lipatan
protein akan membantu ahli biologi untuk mencari punca kesalahan lipatan protein,
serta membantu pereka ubat untuk mencari penawar sesuatu penyakit. Oleh itu,
objektif kajian ini adalah untuk mengkaji laluan lipatan Trp-cage miniprotein,
Amiloid A4 peptide, dan α-conotoxin RgIA. Proses lipatan protein dilakukan
dengan menggunakan dua kaedah simulasi iaitu melalui kehadiran air sebagai pelarut
dan tanpa kehadiran air sebagai pelarut. Amiloid peptida A4 (350ns) dan α-
conotoxin (800ns) adalah protein yang digunakan untuk kaedah simulasi tanpa
kehadiran air sebagai pelarut, manakala Trp-cage (150ns) dan α-conotoxin (200ns)
telah digunakan dalam kaedah simulasi dengan kehadiran air sebagai pelarut. Proses
simulasi menghasilkan banyak trajektori dan ianya telah dianalisa berdasarkan
kepada nilai punca min sisihan kuasa dua (RMSD). Nilai RMSD menunjukkan
trajektori yang menghampiri struktur sebenar protein. Selain daripada itu, beberapa
pembentukan ikatan hidrogen, ikatan disulfid, dan ikatan jambatan garam yang
penting telah dikenal pasti membantu menstabilkan proses lipatan protein. Struktur
yang terbaik pula telah dikenal pasti dengan mengkelaskan kesemua trajektori
berdasarkan RMSD, luas permukaan pelarut boleh capai (SASA), ikatan van der
Waals, ikatan elektrostatik, dan jumlah tenaga struktur protein untuk setiap trajektori.
Struktur yang terbaik untuk Trp-cage miniprotein, Amiloid A4 peptide, α-conotoxin
RgIA tanpa kehadiran air sebagai pelarut dan α-conotoxin RgIA dengan kehadiran
air sebagai pelarut telah diekstrak pada 79.76 ns, 224.85 ns, 184.20 ns, dan 104.2 ns.
vi
TABLE OF CONTENTS
CHAPTER TITLE PAGE
DECLARATION ii
ACKNOWLEDGEMENT iii
ABSTRACT iv
ABSTRAK v
TABLE OF CONTENTS vi
LIST OF TABLES ix
LIST OF FIGURES x
LIST OF ABBREVIATIONS xv
LIST OF SYMBOLS xvi
LIST OF APPENDICES xvii
1 INTRODUCTION 1
1.1 Research background 1
1.2 Problem statement 2
1.3 Objective 3
1.4 Scopes 3
2 LITERATURE REVIEW 4
2.1 Introduction to Peptide 4
2.2 Introduction to Protein 5
2.3 Protein Structure 5
2.3.1 Primary Structure 5
2.3.2 Secondary Structure 7
2.3.3 Tertiary Structure 9
2.3.4 Quaternary Structure 9
vii
2.4 Trp-cage Miniprotein 10
2.5 Amyloid A4 peptide as an Amyloid Plaques in
Alzheimer
11
2.6 α-Conotoxin RgIA 12
2.7 Introduction to Protein Folding 13
2.8 Molecular Dynamics Simulation of Protein Folding 14
2.9 The Limitation of Time Scale in Protein Folding 15
2.9.1 The Protein Folding Simulation of Trp-cage 16
2.10 The Interactions Involved in Protein Folding 17
2.10.1 van der Waals Interaction 17
2.10.2 Electrostatic Interaction 18
2.10.3 Hydrogen Bond Interaction 18
2.10.4 Salt Bridge 19
2.10.5 Disulfide Bond 19
2.11 Parameters of Molecular Dynamics Simulation 19
2.11.1 Force Field 20
2.11.2 Equation of Motion 21
2.11.3 Verlet Algorithm 22
2.11.4 Temperature Constant 23
2.11.4.1 Langevin thermostat 23
2.11.4.2 Berendsen thermostat 24
2.11.5 Pressure Constant 24
3 RESEARCH METHODOLOGY 25
3.1 Introduction to Trp-cage (1L2Y), Amyloid A4 Peptide
(1AML), and α-conotoxin (2JUQ)
25
3.1.1 Trp-cage miniprotein (PDB ID: 1L2Y) 25
3.1.2 The Alzheimer’s disease Amyloid A4 peptide
(PDB ID: 1AML)
27
3.1.3 The α-conotoxin RgIA peptide (PDB ID: 2JUQ) 28
3.2 Methodology 29
3.2.1 Structure Preparation 30
3.2.2 MinimisationStep 30
3.2.3 MD Simulation Process 31
viii
3.2.3.1 MD Simulation with Implicit Solvent 31
3.2.3.2 Md Simulation with Explicit Solvent 31
3.2.4 Trajectory Analysis 32
3.2.4.1 RMSD 32
3.2.4.2 Secondary Structure Annotation 32
3.2.4.3 Molecular Interaction Viewer 33
3.2.4.4 Clustering Analysis 33
3.2.4.5 Radius of Gyration 33
3.2.4.6 van der Waals Interaction Energy,
Electrostatic Energy, and Total
Energy
33
4 RESULT AND DISCUSSIONS 34
4.1 Simulation of 2JUQ with Implicit Solvent Method 34
4.2 The Folding Pathways of 2JUQ in Explicit Solvent
Method
44
4.3 Folding Process of Amyloid A4 Peptide (1AML) with
Implicit Solvent Method
50
4.4 Molecular Dynamics Simulation of Trp-cage with
Explicit Solvent Method
60
5 CONCLUSION 67
REFERENCES 69
Appendices A – E 76 - 80
ix
LIST OF TABLES
TABLE NO. TITLE PAGE
4.1 Comparison of the best structural properties between
each cluster
40
4.2 The SASA value for the best structure from each cluster. 40
4.3 The evolution of hydrogen bonds for 2JUQ in explicit
solvent methods up to 200 ns.
45
4.4 Comparison of the best structural properties between each
cluster
47
4.5 The SASA value for the best structure from each cluster 48
4.6 Comparison of the best structural properties between each
cluster
56
4.7 The SASA value for the best structure from each cluster 56
4.8 Comparison of the best structural properties between each
cluster
63
4.9 The SASA value for the best structure from each cluster 64
x
LIST OF FIGURES
FIGURE NO. TITLE PAGE
2.1 General structure of amino acid 6
2.2 Formation of peptide bond 6
2.3 Primary structure 7
2.4 α-helix 8
2.5 a) β pleated sheet, antiparallel and b) β pleated sheet,
parallel 8
2.6 Protein tertiary structure 9
2.7 Quaternary structure 10
2.8 Native structure of Trp-cage miniprotein from NMR 11
2.9 Native structure of Amyloid A4 peptide from NMR 12
2.10 Native structure of α-Conotoxin from NMR 13
2.11 Lennard jones potential graph 18
xi
3.1 The structure of Trp-cage miniprotein. The ribbon and
stick representation are backbone and side chain
respectively.
26
3.2 The structure of Amyloid A4 peptide. The ribbon and
stick representation are backbone and side chain
respectively
27
3.3 The structure of α-conotoxin with 13 residues. The
ribbon and stick representation are backbone and side
chain respectively
28
3.4
Flow diagram of MD simulation process
29
4.1 Representation of the evolution of RMSD values for α-
conotoxin
34
4.2 Representation of the folding event of 2JUQ. a) The
NMRMD structure; b) and c) the formation of 310-helix at
180 ns and 286 ns, respectively; and d) the α-helix
formation at 381 ns.
35
4.3 The formation of 310-helix at residues Cys2 to Asp5. The
cyan and magenta colors show the 310-helix and coil
respectively.
36
4.4 The hydrogen bond formation between residues Arg13
and Arg9 for the structure α-conotoxin at 286 ns.
37
4.5 The disulfide bond link between Cys2 and Cys8 with the
distance 5.21 Å
37
xii
4.6
Evolutions of disulfide bonds between Cys2-Cys8 and
Cys3-Cys12 around 20 ns to 399.8 ns.
38
4.7 The Ramachandran Plot for a) the model at 310 ns
structure; and b) NMRMD structure
39
4.8 The best structure for each clusters, a) cluster 1, b)
cluster 2, c) cluster 3, d) cluster 4, e) cluster 5, f) cluster
6 at 799.09 ns, 74.9 ns, 130.92 ns, 354.35 ns, 519.34 ns,
184.20 ns respectively
41
4.9 The surface presentation for the best structure from each
clusters, a) cluster 1, b) cluster 2, c) cluster 3, d) cluster
4, e) cluster 5, f) cluster 6 at 799.09 ns, 74.9 ns, 130.92
ns, 354.35 ns, 519.34 ns, 184.20 ns respectively. The
blue shaded area shows the polar region of the structure.
42
4.10 The evolution of RMSD of 2JUQ in explicit solvent
44
4.11 Represents a) the hydrogen bond ( Asp5 – Arg7) at 60 ns
with occupancy of 55% and b) the hydrogen bond ( Asp5
– Arg8) at 90 ns with occupancy of 57%.
45
4.12 The formation of hydrogen bond ( Cys3 – Arg11) at 100
ns with occupancy of 73 %.
46
4.13 The best structure for each clusters, a) cluster 1, b)
cluster 2, c) cluster 3, d) cluster 4, e) cluster 5, f) cluster
6 at 32.48 ns, 60.04 ns, 19.56 ns, 104.20 ns, 197.96 ns
and 121.16 ns respectively
48
xiii
4.14 The surface presentation for the best structure from each
clusters, a) cluster 1, b) cluster 2, c) cluster 3, d) cluster
4, e) cluster 5, f) cluster 6 at 32.48 ns, 60.04 ns, 19.56 ns,
104.20 ns, 197.96 ns and 121.16 ns respectively. The red
and green shaded area shows the polar region of the
structure
49
4.15 The formation of hydrogen bond at Asp23-Gly29
51
4.16 The evolution of the RMSD values for 350 ns of the
simulation time.
52
4.17 Representative conformations of the 1AML trajectories.
This figure presents the turn extended and changed to
helix as the simulation proceeded. The cyan and purple
colours represent turn and coil, respectively, while the
new cartoon represents helix formation.
53
4.18 a), b) and c) Ramachandran plot for trajectories at 5 ns,
224 ns, and NMRMD structure respectively.
55
4.19 The best structure for each cluster, a) cluster 1, b) cluster
2, c) cluster 3, d) cluster 4, e) cluster 5, f) cluster 6 at
89.4 ns, 224.85 ns, 274.18 ns, 5.37 ns, 324.64 ns and
149.36 ns respectively.
57
4.20 The surface presentation for the best structure from each
cluster, a) cluster 1, b) cluster 2, c) cluster 3, d) cluster 4,
e) cluster 5, f) cluster 6 at 89.4 ns, 224.85 ns, 274.18 ns,
5.37 ns, 324.64 ns and 149.36 ns respectively.
58
4.21 The formation of secondary structure at 224.85 ns
59
xiv
4.22 The evolution of the RMSD values between 30 ns to 120
ns. The red circle shows the stable region of RMSD
values during the process of simulation from 60 ns to 100
ns.
60
4.23 The formation of hydrogen bond at Gly11-Ser14
61
4.24 The evolution of the 1L2Y conformation throughout the
150 ns simulation time. The conformation a, b, c, and d
were extracted at 40 ns, 80 ns, 135 ns, and 145 ns,
respectively
62
4.25 The best structure for each clusters, a) cluster 1, b)
cluster 2, c) cluster 3, d) cluster 4, e) cluster 5, f) cluster
6 at 29.39 ns, 79.76 ns, 144.08 ns, 129.48 ns, 34.71 ns
and 39.61 ns respectively
64
4.26 The surface presentation for the best structure from each
clusters, a) cluster 1, b) cluster 2, c) cluster 3, d) cluster
4, e) cluster 5, f) cluster 6 at 29.39 ns, 79.76 ns, 144.08
ns, 129.48 ns, 34.71 ns and 39.61 ns respectively
65
4.27 The secondary structure formation at 79.76 ns
66
xv
LIST OF ABBREVIATIONS
3D - Three dimensional structure
AMBER11 - Assisted model building with energy refinement version 11
CHARMM - Chemistry at Harvard molecular mechanics
COM - Center of mass
DNA - Deoxyribonucleic acid
GB - Generalize bond
GROMACS - Groningen machine for chemical simulations
MD - Molecular dynamics
MMPBSA - Molecular modelling poison Boltzmann surface area
MMTSB - Multiscale modelling tools for structural biology
NMR - Nuclear magnetic resonance
NMRMD - Simulated nuclear magnetic resonance structure
PDB - Protein data bank
RMSD - Root mean square deviation
RMSDc - RMSD between the best structure
RMSDc-best - RMSD between the centroid structure and the best structure
RMSDbest-NMRMD - RMSD between the best structure and NMR structure.
RMSDc-NMRMD - RMSD between the centroid structure and NMR structure
SASA - Solvent accessible surface area
VMD - Visual molecular dynamics
xvi
LIST OF SYMBOLS
% - Percentage
Å - Angstrom
ai - Acceleration of particle i
Ekin - Kinetic energy
Fi - Force exerted on particle i
K - Isothermal compressibility
KB - Boltzmann constant
Ɩi,o - Bond length
mi - Mass of particle i
N - Number of particles
n - Number of moles
r - Radius
Ri - Frictional force
t - Time
T - Temperature
u - Potential energy
α - Alpha
β - Beta
εi,j - Well depth for Lennad Jone Potential
σi,j - Collision diameter for Lennard Jones Potential
Φ - Dihedral angle in protein structure (phi angle)
Ψ - Dihedral angle in protein structure (psi angle)
ω - Dihedral angle in protein structure (omega angle)
xvii
LIST OF APPENDICES
APPENDIX TITLE PAGE
A Input file for minimisation step of Trp-cage
miniprotein
76
B Input file for minimisation step of Amyloid A4
peptide
77
C Input file for minimisation step of α-conotoxin 78
D Input file for implicit solvent simulation 79
E Input file for explicit solvent simulation 80
CHAPTER 1
INTRODUCTION
1.1 Research Background
Protein is composed of one or more chains of amino acids. Protein carries out
important function in every cell. In order for the protein to function correctly, it must
fold into its three-dimensional structure. Therefore, understanding the protein
folding process is vital because several diseases such as Alzheimer and cancer are
directly related to the misfolding of protein. All these diseases have no cure until
today and this problem has not been solved for more than 4 decades.
The causes for those diseases such as Alzheimer, Parkinson and Influenza can
be found if the folding process of protein is known. This is the major challenge in
science today since nobody knows how the protein folds. Theoretically, protein
folding is a process in which the sequence of amino acids folds naturally into its
three-dimensional structure. The formation of the three-dimensional structure is
related to the interaction among amino acid residues. The most important finding in
understanding protein folding was carried out by Anfinsen (1972) and his colleagues;
they claimed that the structure of the protein is determined by the sequence of amino
acids. Findings by Anfinsen and colleagues have inspired researchers to continue
investigating the pathways of protein folding. Therefore the evolution in studying
protein folding ha increased very rapidly, researchers have come up with various
methods and they have proven that protein folding can be simulated using computer
(Levitt and Warshel, 1975a). Computational method such as molecular dynamics
(MD) simulation is a powerful tool due to its high resolutions and detailed atomic
2
level representation. Furthermore, the increase in computer speed and improvements
in force field along with more efficient computation algorithms have brought realistic
computational simulation of the folding process within reach (Pande et al., 2003,
Scheraga et al., 2007).
The aim of this study was to investigate the pathway of the protein folding
towards their native or near native state using MD simulation. MD simulation was
employed using Amber11 (Case et al., 2010). Several studies using this programme
shown promising result (Sonavane et al., 2008, Best, 2012). There are two types of
simulations that can be applied; they are implicit solvent method and explicit solvent
method. For this research, both simulations were used. The protein α-Conotoxin
(PDB ID: 2JUQ) was simulated using both methods, while Trp-cage (PDB ID:
1L2Y) and Amyloid (PDB ID: 1AML) were simulated using explicit solvent method
and implicit solvent method, respectively.
1.2 Problem Statement
Researchers have defined how the amino acid sequence of a protein is coded
into DNA. However, the secret on how the protein folds into its three-dimensional
structure still remains unsolved. Many theoreticians and biologists have huge
interests to investigate the pathway of protein folding. This is proven by the
increasing number of new findings on the fundamental, knowledge, and theory of
protein folding.
On the experimental front, artificially designed autonomous-folding mini
protein has been solved. These findings have helped researchers to address the
fundamental issues regarding protein folding. However, protein has marginally
stable non-native states that are difficult to observe experimentally. In order to
identify this structure, the best method is to use computational simulation. This is
because this method has high resolution and provides detailed atomic-level
presentations.
3
1.3 Objective
The objective of this study is to study the folding pathway of Trp-cage
miniprotein, Amyloid A4 peptide and α-conotoxin RgIA peptide using molecular
dynamics simulation.
1.4 Scopes
There are five scopes for this study. The first scope is to use the Trp-cage
miniprotein, Amyloid A4 peptide, and α-conotoxin as subjects for investigating the
folding pathway. The second scope is to investigate the hydrogen bond formation,
disulfide bond and salt bridge formation from the trajectories. The third scope is to
develop clusters from the trajectories based on the RMSD value using clustering
analysis. The forth scope is to identify the SASA value for each cluster. The fifth
scope is the find the best structure based on RMSD value, radius of gyration, total
energy, van der Waals interaction energy, and electrostatic interaction energy.
69
REFERENCES
Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K. and Walter, P. (2002). The
Shape and Structure of Proteins.
Alder, B. J. and Wainwright, T. E. (1959). Studies in Molecular Dynamics. I.
General Method. The Journal of Chemical Physics, 31, 459-466.
Alzheimer, A. (1987). A Characteristic Disease of the Cerebral Cortex: Meeting of
South-West Germany Psychiatrists. November 3rd and 4th, 1906. Tubingen
Anand, P. and Hansmann, U. H. E. (2011). Internal and Environmental Effects on
Folding and Dimerisation of Alzheimer's β-amyloid Peptide. Molecular
Simulation, 37, 440-448.
Anfinsen, C. B. (1972). Studies on the Principles that Govern the Folding of Protein
Chains.
Armstrong, R. A. (2006). Plaques and Tangles and the Pathogenesis of Alzheimer's
Disease. Folia Neuropathologica, 44, 1.
Beck, D. A. C. and Daggett, V. (2004). Methods for Molecular Dynamics
Simulations of Protein Folding/Unfolding in Solution. Methods, 34, 112-120.
Berendsen, H. J. C., Postma, J. P. M., Van Gunsteren, W. F., Dinola, A.and Haak, J.
R. (1984). Molecular Dynamics with Coupling to an External Bath. The
Journal of Chemical Physics, 81, 3684-3690.
Best, R. B. (2012). Atomistic Molecular Simulations of Protein Folding. Current
Opinion in Structural Biology, 22, 52-61.
Bettelheim, F. A., Brown, W. H., Campbell, M. K., Farrell, S. O. and Torres, O. J.
(2012). Introduction to Organic and Biochemistry, Thomson Brooks/Cole.
Bratko, D., Cellmer, T., Prausnitz, J. M. and Blanch, H. W. (2007). Molecular
Simulation of Protein Aggregation. Biotechnology and Bioengineering, 96, 1-
8.
Brooks, C. L., Gruebele, M., Onuchic, J. N. & Wolynes, P. G. (1998). Chemical
Physics of Protein Folding. Proceedings of the National Academy of
Sciences, 95, 11037-11038.
Bulaj, G. and Olivera, B. M. (2008). Folding of Conotoxins: Formation of the Native
Disulfide Bridges During Chemical Synthesis and Biosynthesis of Conus
Peptides. Antioxidants & redox signaling, 10, 141-155.
70
Campbell, M. K. and Farrell, S. O. (2005). Lecture Notebook for Campbell/farrell's
Biochemistry, Brooks/Cole Publishing Company.
Case, D. A., Cheatham, T. E., Darden, T., Gohlke, H., Luo, R., Merz, K. M.,
Onufriev, A., Simmerling, C., Wang, B. and Woods, R. J. (2005). The Amber
Biomolecular Simulation Programs. Journal of Computational Chemistry, 26,
1668-1688.
Case, D. A., Darden, T. A., Cheatham, T. E., Simmerling, C. L., Wang, J., Duke, R.
E., Luo, R., Walker, R. C., Zhang, W., Merz, K. M., Wang, B., Hayik, S.,
Roitberg, A., Seabra, G., Kolossvary, I., Wong, K. F., Paesani, F., Vanicek,
J., Liu, J., Wu, X., Brozell, S. R., Steinbrecher, T., Gohlke, H., Cai, Q., Ye,
X., Hsieh, M. J., Hornak, V., Cui, G., Roe, D. R., Mathews, D. H., Seetin, M.
G., Sagui, C., Babin, V., Luchko, T., Gusarov, S., Kovalenko, A., Kollman,
P. A. & Roberts, B. P. (2010). Amber 11, University of California.
Ceriotti, M., Bussi, G. and Parrinello, M. (2009). Langevin Equation with Colored
Noise for Constant-Temperature Molecular Dynamics Simulations. Physical
review letters, 102, 020601.
Chowdhury, S., Lee, M. C., Xiong, G. and Duan, Y. (2003). Ab Initio Folding
Simulation of the Trp-cage Mini-protein Approaches NMR Resolution.
Journal of Molecular Biology, 327, 711-717.
Creighton, T. (1992). Proteins: Structures and Molecular Properties, W. H.
Freeman.
Daly, N. L. and Craik, D. J. (2009). Structural Studies of Conotoxins. IUBMB life,
61, 144-150.
Delano, W. L. (2002). PyMOL. DeLano Scientific, San Carlos, CA, 700.
Duan, Y. and Kollman, P. A. (1998). Pathways to a Protein Folding Intermediate
Observed in a 1-Microsecond Simulation in Aqueous Solution. Science, 282,
740-744.
Dutertre, S. and Lewis, R. J. (2006). Toxin Insights into Nicotinic Acetylcholine
Receptors. Biochemical Pharmacology, 72, 661-670.
Ellison, M., Feng, Z.-P., Park, A. J., Zhang, X., Olivera, B. M., Mcintosh, J. M. and
Norton, R. S. (2008). α-RgIA, a Novel Conotoxin That Blocks the α9α10
nAChR: Structure and Identification of Key Receptor-Binding Residues.
Journal of Molecular Biology, 377, 1216-1227.
71
Feig, M., Karanicolas, J. and Brooks Iii, C. L. (2004). MMTSB Tool Set: Enhanced
Sampling and Multiscale Modeling Methods for Applications in Structural
Biology. Journal of Molecular Graphics and Modelling, 22, 377-395.
Ferguson, N. and Fersht, A. R. (2003). Early Events in Protein Folding. Current
Opinion in Structural Biology, 13, 75-81.
Freed, K. F. (2002). Long Time Dynamics of Met-Enkephalin: Comparison of
Explicit and Implicit Solvent Models. Biophysical journal, 82, 1791.
Gnanakaran, S., Nymeyer, H., Portman, J., Sanbonmatsu, K. Y. and Garcıa, A. E.
(2003). Peptide Folding Simulations. Current Opinion in Structural Biology,
13, 168-174.
Gopalakrishnan, K., Sowmiya, G., Sheik, S. S. and Sekar, K. (2007). Ramachandran
Plot on The Web (2.0). Protein and Peptide Letters, 14, 669-671.
Hockney, R. W. (1970). Potential Calculation and Some Applications. Journal
Name: Methods Comput. Phys. 9: 135-211(1970).; Other Information: Orig.
Receipt Date: 31-DEC-70, Medium: X.
Humphrey, W. (1996). VMD-Visual Molecular Dynamics. Journal of Molecular
Graphics, 14, 33-38.
Jäger, M., Nguyen, H., Crane, J. C., Kelly, J. W. and Gruebele, M. (2001). The
Folding Mechanism of a β-sheet: the WW domain. Journal of Molecular
Biology, 311, 373-393.
Kannan, S. and Zacharias, M. (2009). Folding of Trp-cage Mini Protein Using
Temperature and Biasing Potential Replica—Exchange Molecular Dynamics
Simulations. International Journal of Molecular Sciences, 10, 1121-1137.
Karatti, A., Singh, A., Singh, J., Sharma, M., Wariar, M., Goyal, M., Thakur, P.,
Sachan, R., Namdeo, R. and Kusmakar, S. (2011). PIPE: Protein Interaction
and Properties Explorer.
Kräutler, V., Van Gunsteren, W. F. and Hünenberger, P. H. (2001). A fast SHAKE
Algorithm to Solve Distance Constraint Equations for Small Molecules in
Molecular Dynamics Simulations. Journal of Computational Chemistry, 22,
501-508.
Krone, M. G., Baumketner, A., Bernstein, S. L., Wyttenbach, T., Lazo, N. D.,
Teplow, D. B., Bowers, M. T. and Shea, J.-E. (2008). Effects of Familial
Alzheimer’s Disease Mutations on the Folding Nucleation of the Amyloid β-
Protein. Journal of Molecular Biology, 381, 221-228.
72
Kumar, S. and Nussinov, R. (2002). Relationship Between Ion Pair Geometries and
Electrostatic Strengths in Proteins. Biophysical Journal, 83, 1595-1612.
Lapidus, L. J., Eaton, W. A. and Hofrichter, J. (2002). Measuring Dynamic
Flexibility of the Coil State of a Helix-forming Peptide. Journal of Molecular
Biology, 319, 19-25.
Lazo, N. D., Grant, M. A., Condron, M. C., Rigby, A. C. and Teplow, D. B. (2005).
On the Nucleation of Amyloid β-Protein Monomer Folding. Protein Science,
14, 1581-1596.
Leach, A. R. (2001). Harlow, England.
Lee, S. and Kim, Y. (2004). Molecular Dynamics Simulations on Beta Amyloid
Peptide (25-35) in Aqueous Trifluoroethanol Solution. Bulletin-Korean
Chemical Society, 25, 838-842.
Levitt, M. and Warshel, A. (1975a). Computer simulation of Protein Folding. Nature,
253, 694.
Levitt, M. and Warshel, A. (1975b). Computer Simulation of Protein Folding.
Nature, 253, 694-698.
Li, A. and Daggett, V. (1996). Identification and Characterization of the Unfolding
Transition State of Chymotrypsin Inhibitor 2 by Molecular Dynamics
Simulations. Journal of Molecular Biology, 257, 412-429.
Livett, B. G., Sandall, D. W., Keays, D., Down, J., Gayler, K. R., Satkunanathan, N.
and Khalil, Z. (2006). Therapeutic Applications of Conotoxins that Target
The Neuronal Nicotinic Acetylcholine Receptor. Toxicon, 48, 810-829.
Mamathambika, B. S. and Bardwell, J. C. (2008). Disulfide-Linked Protein Folding
Pathways. Annual review of cell and developmental biology, 24, 211-235.
Mckee, T. and Mckee, J. R. (2003). New York : McGraw-Hill.
Mellon, F. A., Self, R., Startin, J. R. and Belton, P. S. (2007). Amino Acids, Peptides
and Proteins.
Meza, J. C. (2010). Steepest Descent. Wiley Interdisciplinary Reviews:
Computational Statistics, 2, 719-722.
Munoz, V., Thompson, P. A., Hofrichter, J. and Eaton, W. A. (1997). Folding
Dynamics And Mechanism Of β-Hairpin Formation. Nature, 390, 196-199.
Nazareth, J. (2009). Conjugate Gradient Method. Wiley Interdisciplinary Reviews:
Computational Statistics, 1, 348-353.
73
Neidigh, J. W., Fesinmeyer, R. M. and Andersen, N. H. (2002). Designing a 20-
Residue Protein. Nat Struct Mol Biol, 9, 425-430.
Pande, V. S., Baker, I., Chapman, J., Elmer, S. P., Khaliq, S., Larson, S. M., Rhee, Y.
M., Shirts, M. R., Snow, C. D., Sorin, E. J. and Zagrovic, B. (2003).
Atomistic Protein Folding Simulations on The Submillisecond Time Scale
Using Worldwide Distributed Computing. Biopolymers, 68, 91-109.
Pappu, R. V., Hart, R. K. and Ponder, J. W. (1998). Analysis and Application of
Potential Energy Smoothing and Search Methods for Global Optimization.
The Journal of Physical Chemistry B, 102, 9725-9742.
Porollo, A. A., Adamczak, R. and Meller, J. (2004). Polyview: A Flexible
Visualization Tool for Structural and Functional Annotations of Proteins.
Bioinformatics, 20, 2460-2462.
Price, D. J. and Brooks Iii, C. L. (2004). A Modified TIP3P Water Potential for
Simulation With Ewald Summation. The Journal of Chemical Physics, 121,
10096-10103.
Prusiner, S. B. (1998). Prions. Proceedings of the National Academy of Sciences, 95,
13363-13383.
Qiu, L., Pabit, S. A., Roitberg, A. E. and Hagen, S. J. (2002). Smaller and faster: The
20-residue Trp-cage Protein Folds in 4 μs. Journal of the American Chemical
Society, 124, 12952-12953.
Rovó, P., Farkas, V., Hegyi, O., Szolomájer-Csikós, O., Tóth, G. K. and Perczel, A.
(2011). Cooperativity Network of Trp-Cage Miniproteins: Probing Salt-
Bridges. Journal of Peptide Science, 17, 610-619.
Scheraga, H. A., Khalili, M. and Liwo, A. (2007). Protein-Folding Dynamics:
Overview of Molecular Simulation Techniques. Annu. Rev. Phys. Chem., 58,
57-83.
Schneider, R., Sharma, A. and Rai, A. (2008). of Book: Computational Many-
Particle Physics.
Sgourakis, N. G., Yan, Y., Mccallum, S. A., Wang, C. and Garcia, A. E. (2007). The
Alzheimer’s Peptides Aβ40 and 42 Adopt Distinct Conformations in Water:
A Combined MD / NMR Study. Journal of Molecular Biology, 368, 1448-
1457.
74
Sonavane, U. B., Ramadugu, S. K. and Joshi, R. R. (2008). Study of Early Events in
the Protein Folding of Villin Headpiece using Molecular Dynamics
Simulation. Journal of Biomolecular Structure and Dynamics, 26, 203-214.
Sticht, H., Bayer, P., Willbold, D., Dames, S., Hilbich, C., Beyreuther, K., Frank, R.
W. and Rösch, P. (1995). Structure of Amyloid A4-(1–40)-Peptide of
Alzheimer's Disease. European Journal of Biochemistry, 233, 293-298.
Straub, J. E., Guevara, J., Huo, S. and Lee, J. P. (2002). Long Time Dynamic
Simulations: Exploring the Folding Pathways of an Alzheimer's Amyloid
Aβ-Peptide. Accounts of Chemical Research, 35, 473-481.
Straub, J. E. and Thirumalai, D. (2011). Toward a Molecular Theory of Early and
Late Events in Monomer to Amyloid Fibril Formation. Annual Review of
Physical Chemistry, 62, 437-463.
Strop, P. and Mayo, S. L. (2000). Contribution of Surface Salt Bridges to Protein
Stability†,‡. Biochemistry, 39, 1251-1255.
Swanson, J. M., Henchman, R. H. and Mccammon, J. A. (2004). Revisiting Free
Energy Calculations: a Theoretical Connection to MM/PBSA and Direct
Calculation of the Association Free Energy. Biophysical Journal, 86, 67-74.
Tsui, V. and Case, D. A. (2000). Theory and Applications of the Generalized Born
Solvation Model in Macromolecular Simulations. Biopolymers, 56, 275-291.
Urbanc, B., Cruz, L., Ding, F., Sammond, D., Khare, S., Buldyrev, S. V., Stanley, H.
E. and Dokholyan, N. V. (2004). Molecular Dynamics Simulation of
Amyloid β Dimer Formation. Biophysical Journal, 87, 2310-2321.
Verlet, L. (1967). Computer "Experiments" on Classical Fluids. I. Thermodynamical
Properties of Lennard-Jones Molecules. Physical Review, 159, 98-103.
Williams, D. V., Byrne, A., Stewart, J. and Andersen, N. H. (2011). Optimal Salt
Bridge for Trp-Cage Stabilization. Biochemistry, 50, 1143-1152.
Wu, C. and Shea, J.-E. (2012). The Structure of Intrinsically Disordered Peptides
Implicated in Amyloid Diseases: Insights from Fully Atomistic Simulations
Computational Modeling of Biological Systems. In: Dokholyan, N. V. (ed.).
Springer US.
Wu, X., Yang, G., Zu, Y., Fu, Y., Zhou, L. and Yuan, X. (2011). Molecular
Dynamics Characterisations of The Trp-Cage Folding Mechanisms: in The
Absence and Presence of Water Solvents. Molecular Simulation, 38, 161-171.
75
Zhu, J., Shi, Y. and Liu, H. (2002). Parametrization of a Generalized Born/Solvent-
Accessible Surface Area Model and Applications to The Simulation of
Protein Dynamics. The Journal of Physical Chemistry B, 106, 4844-4853.