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Hydrophobic Residue
Patterning in β-Strands and
Implications for β-Sheet
Nucleation
Brent Wathen
Dept. of Biochemistry
Queen’s University
2
Outline
• Part I: Introduction
• Proteins
• Protein Folding
• Part II: Protein Structure Prediction
• Goals, Challenges
• Techniques
• State of the Art
• Part III: Residue Patterning on β-Strands
• β-Sheet Nucleation
• Hydrophobic/Hydrophilic Patterning
3
Outline
• Part I: Introduction
• Proteins
• Protein Folding
• Part II: Protein Structure Prediction
• Goals, Challenges
• Techniques
• State of the Art
• Part III: Residue Patterning on β-Strands
• β-Sheet Nucleation
• Hydrophobic/Hydrophilic Patterning
4
Proteins – Some Basics
• What Is a Protein?
Part I: Introduction
5
Proteins – Some Basics
• What Is a Protein?
• Linear Sequence of Amino Acids...
Part I: Introduction
6
Proteins – Some Basics
• What Is a Protein?
• Linear Sequence of Amino Acids...
• What is an Amino Acid?
Part I: Introduction
7
Proteins – Some Basics
• What Is a Protein?
• Linear Sequence of Amino Acids...
• What is an Amino Acid?
Part I: Introduction
8
Proteins – Some Basics
• How many types of Amino Acids?
Part I: Introduction
9
Proteins – Some Basics
• How many types of Amino Acids?
• 20 Naturally Occurring Amino Acids
• Differ only in SIDE CHAINS
Isoleucine Arginine Tyrosine
Part I: Introduction
10
Proteins – Some Basics
• Amino Acids connect via PEPTIDE BOND
Part I: Introduction
11
Proteins – Some Basics
• Backbone can swivel:
DIHEDRAL ANGLES
• 2 per Amino Acid
• Proteins can be 100’s of
Amino Acids in length!
• Lots of freedom of
movement
Part I: Introduction
12
Protein Functions
• What do proteins do?
Part I: Introduction
13
Protein Functions
• What do proteins do?
• Enzymes
• Cellular Signaling
• Antibodies
Part I: Introduction
14
Protein Functions
• What do proteins do?
• Enzymes
• Cellular Signaling
• Antibodies
• WHAT DON’T THEY DO!
Part I: Introduction
15
Protein Functions
• What do proteins do?
• Enzymes
• Cellular Signaling
• Antibodies
• WHAT DON’T THEY DO!
• Comes from Greek Work Proteios – PRIMARY
• Fundamental to virtually all cellular processes
Part I: Introduction
16
Protein Functions
• How do proteins do so much?
Part I: Introduction
17
Protein Functions
• How do proteins do so much?
• Proteins FOLD spontaneously
• Assume a characteristic 3D SHAPE
• Shape depends on particular Amino Acid
Sequence
• Shape gives SPECIFIC function
Part I: Introduction
18
Protein Structure
• STRUCTURE  FUNCTION relationship
• Determining structure is often critical in
understanding what a protein does
• 2 main techniques
• X-ray crystallography
• NMR
• 0.5Å RMSD accuracy
• Both are very challenging
• Months to years of work
• Many proteins don’t yield to these methods
Part I: Introduction
19
Protein Structure
• Levels of organization
• Primary Sequence
• Secondary Structure (Modular building blocks)
• α-helices
• β-sheets
• Tertiary Structure
• Quartenary Structure
• Hydrophobic/Hydrophilic Organization
• Hydrophobics ON INSIDE
• Hydrophobic Cores
Part I: Introduction
20
Protein Structure
Part I: Introduction
21
Protein Structure
Part I: Introduction
22
Protein Folding
• What we DO know...
• Protein folding is FAST!!
• Typically a couple of seconds
• Folding is CONSISTENT!!
• Involves weak forces – Non-Covalent
• Hydrogen Bonding, van der Waals, Salt Bridges
• Mostly, 2-STATE systems
• VERY FEW INTERMEDIATES
• Makes it hard to study – BLACK BOX
Part I: Introduction
23
Protein Folding
• What we DON’T know...
• Mechanism...?
• Forces...?
• Relative contributions?
• Hydrophobic Force thought to be critical
Part I: Introduction
24
Intro Summary
• Proteins are central to all living things
• Critical to all biological studies
• Folding process is largely unknown
• Sequence  Structure Mapping
• Structure  Function relationship
• Determining Protein Structure Experimentally is
HARD WORK
Part I: Introduction
25
Outline
• Part I: Introduction
• Proteins
• Protein Folding
• Part II: Protein Structure Prediction
• Goals, Challenges
• Techniques
• State of the Art
• Part III: Residue Patterning on β-Strands
• β-Sheet Nucleation
• Hydrophobic/Hydrophilic Patterning
26
The Prediction Problem
Can we predict the final 3D protein structure
knowing only its amino acid sequence?
Part II: Structure Prediction
27
The Prediction Problem
Can we predict the final 3D protein structure
knowing only its amino acid sequence?
• Studied for 4 Decades
• “Holy Grail” in Biological Sciences
• Primary Motivation for Bioinformatics
• Based on this 1-to-1 Mapping of Sequence to
Structure
• Still very much an OPEN PROBLEM
Part II: Structure Prediction
28
PSP: Goals
• Accurate 3D structures. But not there yet.
• Good “guesses”
• Working models for researchers
• Understand the FOLDING PROCESS
• Get into the Black Box
• Only hope for some proteins
• 25% won’t crystallize, too big for NMR
• Best hope for novel protein engineering
• Drug design, etc.
Part II: Structure Prediction
29
PSP: Major Hurdles
• Energetics
• We don’t know all the forces involved in detail
• Too computationally expensive BY FAR!
• Conformational search impossibly large
• 100 a.a. protein, 2 moving dihedrals, 2 possible
positions for each diheral: 2
200
conformations!
• Levinthal’s Paradox
• Longer than time of universe to search
• Proteins fold in a couple of seconds??
• Multiple-minima problem
Part II: Structure Prediction
30
Tertiary Structure Prediction
• Major Techniques
• Template Modeling
• Homology Modeling
• Threading
• Template-Free Modeling
• ab initio Methods
• Physics-Based
• Knowledge-Based
Part II: Structure Prediction
31
Template Modeling
• Homology Modeling
• Works with HOMOLOGS
• ~ 50% of new sequences have HOMOLOGS
• BLAST or PSI-BLAST search to find good models
• Refine:
• Molecular Dynamics
• Energy Minimization
Part II: Structure Prediction
32
Template-Free Modeling
• Modeling based primarily from sequence
• May also use: Secondary Structure Prediction,
analysis of residue contacts in PDB, etc.
• Advantages:
• Can give insights into FOLDING MECHANISMS
• Adaptable: Prions, Membrane, Natively Unfolded
• Doesn’t require homologs
• Only way to model NEW FOLDS
• Useful for de novo protein design
• Disadvantages: HARD!
Part II: Structure Prediction
33
Template-Free Modeling
• Physics-Based
• Use ONLY the PRIMARY SEQUENCE
• Try to model ALL FORCES
• EXTREMELY EXPENSIVE computationally
• Knowledge-Based
• Include other knowledge: SSP, PDB Analysis
• Statistical Energy Potentials
• Not so interested in folding process
• “Hot” area of research
Part II: Structure Prediction
34
Template-Free Modeling
• All methods SIMPLIFY problem
• Reduced Atomic Representations
• C-α’s only; C-α + C-β; etc.
• Simplify Force Fields
• Only van der Waals; only 2-body interactions
• Reduced Conformational Searches
• Lattice Models
• Dihedral Angle Restrictions
Part II: Structure Prediction
35
Template-Free Modeling
• Basic Approach:
1. Begin with an unfolded conformation
2. Make small conformational change
3. Measure energy of new conformation
Accept based on heuristic: SA, MC, etc.
4. Repeat until ending criteria reached
• Underlying Assumption:
Correct Conformation has LOWEST ENERGY
Part II: Structure Prediction
36
Diverse Efforts
• Data Mining
• Pattern Classification
• Neural Networks, HMMs, Nearest Neighbour, etc.
• Packing Algorithms
• Search Optimization
• Traveling Salesman Problem
• Contact Maps, Contact Order
• Constraint Logic, etc.
• Combinations of the above!
Part II: Structure Prediction
37
ROSETTA
• Pioneered by Baker Group (U. of Washington)
• Fragment Based Method
• Guiding Assumption:
• Fragment Conformations in PDB approximate their
structural preferences
• Pre-build fragment library
• Alleviates need to do local energy calculations
• Lowest energy conformations should already be in
library
Part II: Structure Prediction
38
ROSETTA
• Pre-build fragment library
• 3-mers and 9-mers
• 200 structural possibilities for each
• Build conformations from the library
• Randomly assign 3-mers, 9-mers along chain
• During conformational search, reassign a 3-mer or a
9-mer to a new conformation at random
• Score using energy function
• Adaptive: Coarse grain at first, detailed at end
• Accept changes based on Monte Carlo method
Part II: Structure Prediction
39
Diverse Efforts
• Data Mining
• Pattern Classification
• Neural Networks, HMMs, Nearest Neighbour, etc.
• Packing Algorithms
• Search Optimization
• Traveling Salesman Problem
• Contact Maps, Contact Order
• Constraint Logic, etc.
• Combinations of the above!
Part II: Structure Prediction
40
State of the Art
• CASP Competition
• Critical Assessment of Structure Prediction
• Blind Competition Every 2 years
• CASP6 in 2004 - CASP7 just completed
• ~75 proteins whose structures have not been
published as yet
• Easy homologs examples
• Distant homologs available
• De novo structures: no homologs known
Part II: Structure Prediction
41
State of the Art
• Template Modeling
CASP6 Target 266
(green), and best
model (blue)
Moult, J. (2005) Cur. Opin.
Struct. Bio. 15:285-289
Part II: Structure Prediction
42
State of the Art
• Template Modeling
• Alignment still not easy, and often requires multiple
templates
• Accurate core models (within 2-3Å RMSD)
• Still not good at modeling regions missing from
template
• Side-chain modeling not too good
• Molecular dynamics not able to improve models as
hoped
Part II: Structure Prediction
43
State of the Art
• Template-Free Modeling
CASP6
target 201,
and best
model.
Vincent, J.J. et. al (2005)
Proteins 7:67-83.
Part II: Structure Prediction
44
State of the Art
CASP6 target
241, and 3 best
models.
• Template-Free Modeling
Vincent, J.J. et. al (2005)
Proteins 7:67-83.
Part II: Structure Prediction
45
State of the Art
• How Good are Current Techniques?
• CASP6 Summary:
“The disappointing results for [hard new fold] targets
suggest that the prediction community as a whole
has learned to copy well but has not really learned
how proteins fold.”
Vincent, J.J. et. al (2005)
Proteins 7:67-83.
Part II: Structure Prediction
46
PSP Summary
• Many diverse, creative efforts
• Progress IS being made in finding final 3D
structures
• Less so with regards to understanding folding
mechanisms
• NEEDED:
• Marriage of Creative Ideas and Increased
Resources
Part II: Structure Prediction
47
Outline
• Part I: Introduction
• Proteins
• Protein Folding
• Part II: Protein Structure Prediction
• Goals, Challenges
• Techniques
• State of the Art
• Part III: Residue Patterning on β-Strands
• β-Sheet Nucleation
• Hydrophobic/Hydrophilic Patterning
48
β-Sheet Basics
• Made up of β-Strands
• Diverse:
• Parallel/Antiparallel
• Edge/Interior Strands
• Typically Twisted
• Many Forms
• β-sandwiches, β-barrels, β-helices, β-propellers, etc.
• 2D? 3D?
• Less studied than helices
Part III: β-Strand Patterning
49
Beta Sheet Basics
Internalin A Narbonin
Polygalacturonase
Galactose Oxidase
Part III: β-Strand Patterning
50
Beta Sheet Basics
• What do we know?
•  Residues:
• V, I, F, Y, W, T, C L
• Found largely in Protein Cores
• Amphipathic Nature
Part III: β-Strand Patterning
51
Amphipathic
Part III: β-Strand Patterning
52
Theory of β-Sheet Nucleation
• Hydrophobic Zipper (HZ)
• Dill et. al. (1993)
• Hydrophobic residues from different parts of
chain make initial contact
• Correct alignment of backbones
• Hydrogen bonding
• Subsequent growth via “Zipping Up”
Part III: β-Strand Patterning
53
• Hydrophobic Zipper (HZ)
Dill, K.A. et al., (1993)
Proc. Natl. Acad. Sci.
USA 90: 1942-1946.
Part III: β-Strand Patterning
Theory of β-Sheet Nucleation
54
Theory of Nucleation
• Hydrophobic Zipper (HZ)
• Once Hydrophobic “Seed” established, can
grow out 2 directions
Part III: β-Strand Patterning
55
Thought Experiment...
• What would a Beta Seed look like?
Part III: β-Strand Patterning
56
Thought Experiment...
• What would a Beta Seed look like?
• Contain hydrophobics
• On both strands
Part III: β-Strand Patterning
57
Thought Experiment...
• What would a Beta Seed look like?
• Contain hydrophobics
• On both strands
• How many?
• Will single hydrophobic on each strand be
sufficient?
Part III: β-Strand Patterning
58
Thought Experiment...
• What would a Beta Seed look like?
• Contain hydrophobics
• On both strands
• How many?
• Will single hydrophobic on each strand be
sufficient?
• Single Unlikely:
• 1 Hydrophobic Residue NOT SPECIFIC ENOUGH
• Too many possible combinations
Part III: β-Strand Patterning
59
Thought Experiment...
• What would a Beta Seed look like?
• Contain hydrophobics
• On both strands
• How many?
• Will single hydrophobic on each strand be
sufficient?
• Single Unlikely:
• 1 Hydrophobic Residue NOT SPECIFIC ENOUGH
• Too many possible combinations
At least 1 strand must have >1 Hydrophobic
Part III: β-Strand Patterning
60
Thought Experiment...
• What hydrophobic arrangement would lead to
Beta Sheet Nucleation?
• i,i+1?
• i,i+2?
• i,i+3?
• i,i+4?
Part III: β-Strand Patterning
61
Thought Experiment...
• What hydrophobic arrangement would lead to
Beta Sheet Nucleation?
• i,i+1? No, not likely: Amphipathic.
• i,i+2?
• i,i+3?
• i,i+4?
Part III: β-Strand Patterning
62
Thought Experiment...
• What hydrophobic arrangement would lead to
Beta Sheet Nucleation?
• i,i+1? No, not likely: Amphipathic.
• i,i+2?
• i,i+3? No... Amphipathic.
• i,i+4?
Part III: β-Strand Patterning
63
Thought Experiment...
• What hydrophobic arrangement would lead to
Beta Sheet Nucleation?
• i,i+1? No, not likely: Amphipathic.
• i,i+2?
• i,i+3? No... Amphipathic.
• i,i+4? Seems too far apart...
Part III: β-Strand Patterning
64
Thought Experiment...
• What hydrophobic arrangement would lead to
Beta Sheet Nucleation?
• i,i+1? No, not likely: Amphipathic.
• i,i+2? Most likely.
• i,i+3? No... Amphipathic.
• i,i+4? Seems too far apart... Chain loop?
Part III: β-Strand Patterning
65
Hypothesis
Assuming:
• Beta Sheets Nucleate by Hydrophobics (HZ)
• i,i+2 hydrophobic pairings on beta strands are
necessary for nucleation
Part III: β-Strand Patterning
66
Hypothesis
Assuming:
• Sec. structures contain their nucleating residues
• Beta Sheets Nucleate by Hydrophobics (HZ)
• i,i+2 hydrophobic pairings on beta strands are
necessary for nucleation
Beta Strands contain an increased frequency of
i,i+2 hydrophobic residue pairings.
Part III: β-Strand Patterning
67
Hypothesis
Part III: β-Strand Patterning
68
Hypothesis
Part III: β-Strand Patterning
69
Hypothesis
Part III: β-Strand Patterning
70
Hypothesis
Part III: β-Strand Patterning
71
Technique
• Looking for statistically significant patterns
• For any particular pattern:
1. Count how often it occurs in database
2. Randomly shuffle residues in sheets
3. Re-count how often pattern occurs
4. Repeat random shuffle and counting x1000
5. Compare initial count, avg random count
Calculate the Std Dev σ
If σ > 3.0, statistically significant
Part III: β-Strand Patterning
72
Technique
Part III: β-Strand Patterning
73
Technique
Part III: β-Strand Patterning
74
Technique
Part III: β-Strand Patterning
75
Technique
Part III: β-Strand Patterning
76
Technique
Part III: β-Strand Patterning
77
Technique
Part III: β-Strand Patterning
78
Technique
• Patterns of Interest:
• Hydrophobic patterning (V L I F M)
• Hydrophilic patterning (K R E D S T N Q)
• Positions:
• i,i+1
• i,i+2
• i,i+3
• i,i+4
• Consider only strands of length >= 5 residues
Part III: β-Strand Patterning
79
Results
• Hydrophilics
• i,i+1
Part III: β-Strand Patterning
80
Results
• Hydrophilics
• i,i+1
• Strongly Disfavoured: -20.5σ
Part III: β-Strand Patterning
81
Results
• Hydrophilics
• i,i+2
Part III: β-Strand Patterning
82
Results
• Hydrophilics
• i,i+2
• Strongly Favoured: 13.0σ
Part III: β-Strand Patterning
83
Results
• Hydrophilics
• i,i+3
Part III: β-Strand Patterning
84
Results
• Hydrophilics
• i,i+3
• Strongly Disfavoured: -6.1σ
Part III: β-Strand Patterning
85
Results
• Hydrophilics
• i,i+4
Part III: β-Strand Patterning
86
Results
• Hydrophilics
• i,i+4
• Strongly Favoured: 5.7σ
Part III: β-Strand Patterning
87
Results
• Hydrophilics: Summary
• Demonstrate Amphipathic Separation
• Suggests residues help guide tertiary formation
• Moral Support: Technique seems sound
-25
-20
-15
-10
-5
0
5
10
15
(i,i+1) (i,i+2) (i,i+3) (i,i+4)
Pattern
z-
Score
Part III: β-Strand Patterning
88
Results
• Hydrophobics
• i,i+1
Part III: β-Strand Patterning
89
Results
• Hydrophobics
• i,i+1
• Strongly Disfavoured: -16.8σ
Part III: β-Strand Patterning
90
Results
• Hydrophobics
• i,i+3
Part III: β-Strand Patterning
91
Results
• Hydrophobics
• i,i+3
• Strongly Disfavoured: -16.6σ
Part III: β-Strand Patterning
92
Results
• Hydrophobics
• i,i+2
Part III: β-Strand Patterning
93
Results
• Hydrophobics
• i,i+2
• Barely Favoured!: 3.5σ
Part III: β-Strand Patterning
94
Results
• Hydrophobics
• i,i+4
Part III: β-Strand Patterning
95
Results
• Hydrophobics
• i,i+4
• Strongly Disfavoured: -19.6σ
Part III: β-Strand Patterning
96
Results
• Hydrophobics: Summary
• Clearly amphipathic: i,i+1 i,i+3 Disfavoured
• NOT particularly favoured at i,i+2 
• Unexpectedly: i,i+4 strongly Disfavoured
-25
-20
-15
-10
-5
0
5
(i,i+1) (i,i+2) (i,i+3) (i,i+4)
Pattern
z-
Score
Part III: β-Strand Patterning
97
Results
• Hydrophobics: Summary
• Where are the hydrophobic pairings??
• Not at i,i+1 or i,i+3 or i,i+4
• Barely at i,i+2
• Note:
• Moderate i,i+2 pairing: No strong aggregation
• Low low i,i+4 pairing: Not Dispersed! Isolated
Part III: β-Strand Patterning
98
Results
Part III: β-Strand Patterning
99
Results
Part III: β-Strand Patterning
100
Results
• Examine localized hydrophobic pairings...
Part III: β-Strand Patterning
101
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT
Part III: β-Strand Patterning
102
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT
• Only slightly favoured: 2.5σ
Part III: β-Strand Patterning
103
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT+1
Part III: β-Strand Patterning
104
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT+1
• Strongly favoured!!: 9.3σ
Part III: β-Strand Patterning
105
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT+2
Part III: β-Strand Patterning
106
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ NT+2
• Indifferent: 0.8σ
Part III: β-Strand Patterning
107
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT
Part III: β-Strand Patterning
108
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT
• Favoured!: 5.7σ
Part III: β-Strand Patterning
109
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT-1
Part III: β-Strand Patterning
110
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT-1
• Only slightly favoured: 3.4σ
Part III: β-Strand Patterning
111
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT-2
Part III: β-Strand Patterning
112
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ CT-2
• Only slightly favoured: 3.9σ
Part III: β-Strand Patterning
113
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ Interior Positions
Part III: β-Strand Patterning
114
Results
• Examine localized hydrophobic pairings...
• i,i+2 @ Interior Positions
• Actually Disfavoured!!: -3.0σ
Part III: β-Strand Patterning
115
Results
• Examine localized hydrophobic pairings...
• Summary:
• Localized i,i+2 hydrophobic pairing at NT and CT
• Disfavoured at interior positions
-4
-2
0
2
4
6
8
10
NT NT+1 NT+2 Central CT-2 CT-1 CT Avg
Pattern Location
z-
Score
Part III: β-Strand Patterning
116
Results
• Examine localized hydrophobic pairings...
• Are these patterns sense-specific?
• @ NT+1:
• Favoured for Parallel, Antiparallel
-4
-2
0
2
4
6
8
10
Parallel Antiparallel Mixed Edge
Strand Type
z-
Score
Part III: β-Strand Patterning
117
Results
• Examine localized hydrophobic pairings...
• Are these patterns sense-specific?
• @ CT:
• Favoured for Antiparallel, Mixed
• NOT PARALLEL!
-1
0
1
2
3
4
5
Parallel Antiparallel Mixed Edge
Strand Type
z-
Score
Part III: β-Strand Patterning
118
Conclusions
• Hydrophobic patterning suggests:
• Hydrophobics are located on one side of beta
sheets  AMPHIPATHIC
• Hydrophobics are CLUSTERED
• Hydrophobics aggregate at NT, CT
• Parallel Strands: @ NT only
• Antiparallel Strands: @ NT & CT
• Supports HYDROPHOBIC ZIPPER theory for
sheet nucleation
Part III: β-Strand Patterning
119
Implications
• How do beta sheets nucleate?
• Parallel
Part III: β-Strand Patterning
120
Implications
• How do beta sheets nucleate?
• Parallel
• Nucleate at NT
• Growth is unidirectional: NTCT
Part III: β-Strand Patterning
121
Implications
• How do beta sheets nucleate?
• Antiparallel
Part III: β-Strand Patterning
122
Implications
• How do beta sheets nucleate?
• Antiparallel
• Nucleate at edge
• Growth is unidirectional
Part III: β-Strand Patterning
123
Future Work
1. Extend this work to 2D
Both intra- and inter-strand patterning
2. Consider more complex patterning
3 residues on one strand? NT Position?
Specific residue combinations?
3. Consider patterning by beta-sheet type
Beta Helices, Barrels, Sandwiches, etc.
Part III: β-Strand Patterning
124
Acknowledgements
• Dr. Jia
• Lab Members
• Dr. Qilu Ye
• Dr. Vinay Singh
• Dr. Susan Yates
• Daniel Lee
• Jimmy Zheng
• Neilin Jaffer
• NSERC
• Andrew Wong
• Michael Suits
• Laura van Staalduinen
• Mark Currie
• Kateryna Podzelinska

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BrentWathen.ppt

  • 1. Hydrophobic Residue Patterning in β-Strands and Implications for β-Sheet Nucleation Brent Wathen Dept. of Biochemistry Queen’s University
  • 2. 2 Outline • Part I: Introduction • Proteins • Protein Folding • Part II: Protein Structure Prediction • Goals, Challenges • Techniques • State of the Art • Part III: Residue Patterning on β-Strands • β-Sheet Nucleation • Hydrophobic/Hydrophilic Patterning
  • 3. 3 Outline • Part I: Introduction • Proteins • Protein Folding • Part II: Protein Structure Prediction • Goals, Challenges • Techniques • State of the Art • Part III: Residue Patterning on β-Strands • β-Sheet Nucleation • Hydrophobic/Hydrophilic Patterning
  • 4. 4 Proteins – Some Basics • What Is a Protein? Part I: Introduction
  • 5. 5 Proteins – Some Basics • What Is a Protein? • Linear Sequence of Amino Acids... Part I: Introduction
  • 6. 6 Proteins – Some Basics • What Is a Protein? • Linear Sequence of Amino Acids... • What is an Amino Acid? Part I: Introduction
  • 7. 7 Proteins – Some Basics • What Is a Protein? • Linear Sequence of Amino Acids... • What is an Amino Acid? Part I: Introduction
  • 8. 8 Proteins – Some Basics • How many types of Amino Acids? Part I: Introduction
  • 9. 9 Proteins – Some Basics • How many types of Amino Acids? • 20 Naturally Occurring Amino Acids • Differ only in SIDE CHAINS Isoleucine Arginine Tyrosine Part I: Introduction
  • 10. 10 Proteins – Some Basics • Amino Acids connect via PEPTIDE BOND Part I: Introduction
  • 11. 11 Proteins – Some Basics • Backbone can swivel: DIHEDRAL ANGLES • 2 per Amino Acid • Proteins can be 100’s of Amino Acids in length! • Lots of freedom of movement Part I: Introduction
  • 12. 12 Protein Functions • What do proteins do? Part I: Introduction
  • 13. 13 Protein Functions • What do proteins do? • Enzymes • Cellular Signaling • Antibodies Part I: Introduction
  • 14. 14 Protein Functions • What do proteins do? • Enzymes • Cellular Signaling • Antibodies • WHAT DON’T THEY DO! Part I: Introduction
  • 15. 15 Protein Functions • What do proteins do? • Enzymes • Cellular Signaling • Antibodies • WHAT DON’T THEY DO! • Comes from Greek Work Proteios – PRIMARY • Fundamental to virtually all cellular processes Part I: Introduction
  • 16. 16 Protein Functions • How do proteins do so much? Part I: Introduction
  • 17. 17 Protein Functions • How do proteins do so much? • Proteins FOLD spontaneously • Assume a characteristic 3D SHAPE • Shape depends on particular Amino Acid Sequence • Shape gives SPECIFIC function Part I: Introduction
  • 18. 18 Protein Structure • STRUCTURE  FUNCTION relationship • Determining structure is often critical in understanding what a protein does • 2 main techniques • X-ray crystallography • NMR • 0.5Å RMSD accuracy • Both are very challenging • Months to years of work • Many proteins don’t yield to these methods Part I: Introduction
  • 19. 19 Protein Structure • Levels of organization • Primary Sequence • Secondary Structure (Modular building blocks) • α-helices • β-sheets • Tertiary Structure • Quartenary Structure • Hydrophobic/Hydrophilic Organization • Hydrophobics ON INSIDE • Hydrophobic Cores Part I: Introduction
  • 22. 22 Protein Folding • What we DO know... • Protein folding is FAST!! • Typically a couple of seconds • Folding is CONSISTENT!! • Involves weak forces – Non-Covalent • Hydrogen Bonding, van der Waals, Salt Bridges • Mostly, 2-STATE systems • VERY FEW INTERMEDIATES • Makes it hard to study – BLACK BOX Part I: Introduction
  • 23. 23 Protein Folding • What we DON’T know... • Mechanism...? • Forces...? • Relative contributions? • Hydrophobic Force thought to be critical Part I: Introduction
  • 24. 24 Intro Summary • Proteins are central to all living things • Critical to all biological studies • Folding process is largely unknown • Sequence  Structure Mapping • Structure  Function relationship • Determining Protein Structure Experimentally is HARD WORK Part I: Introduction
  • 25. 25 Outline • Part I: Introduction • Proteins • Protein Folding • Part II: Protein Structure Prediction • Goals, Challenges • Techniques • State of the Art • Part III: Residue Patterning on β-Strands • β-Sheet Nucleation • Hydrophobic/Hydrophilic Patterning
  • 26. 26 The Prediction Problem Can we predict the final 3D protein structure knowing only its amino acid sequence? Part II: Structure Prediction
  • 27. 27 The Prediction Problem Can we predict the final 3D protein structure knowing only its amino acid sequence? • Studied for 4 Decades • “Holy Grail” in Biological Sciences • Primary Motivation for Bioinformatics • Based on this 1-to-1 Mapping of Sequence to Structure • Still very much an OPEN PROBLEM Part II: Structure Prediction
  • 28. 28 PSP: Goals • Accurate 3D structures. But not there yet. • Good “guesses” • Working models for researchers • Understand the FOLDING PROCESS • Get into the Black Box • Only hope for some proteins • 25% won’t crystallize, too big for NMR • Best hope for novel protein engineering • Drug design, etc. Part II: Structure Prediction
  • 29. 29 PSP: Major Hurdles • Energetics • We don’t know all the forces involved in detail • Too computationally expensive BY FAR! • Conformational search impossibly large • 100 a.a. protein, 2 moving dihedrals, 2 possible positions for each diheral: 2 200 conformations! • Levinthal’s Paradox • Longer than time of universe to search • Proteins fold in a couple of seconds?? • Multiple-minima problem Part II: Structure Prediction
  • 30. 30 Tertiary Structure Prediction • Major Techniques • Template Modeling • Homology Modeling • Threading • Template-Free Modeling • ab initio Methods • Physics-Based • Knowledge-Based Part II: Structure Prediction
  • 31. 31 Template Modeling • Homology Modeling • Works with HOMOLOGS • ~ 50% of new sequences have HOMOLOGS • BLAST or PSI-BLAST search to find good models • Refine: • Molecular Dynamics • Energy Minimization Part II: Structure Prediction
  • 32. 32 Template-Free Modeling • Modeling based primarily from sequence • May also use: Secondary Structure Prediction, analysis of residue contacts in PDB, etc. • Advantages: • Can give insights into FOLDING MECHANISMS • Adaptable: Prions, Membrane, Natively Unfolded • Doesn’t require homologs • Only way to model NEW FOLDS • Useful for de novo protein design • Disadvantages: HARD! Part II: Structure Prediction
  • 33. 33 Template-Free Modeling • Physics-Based • Use ONLY the PRIMARY SEQUENCE • Try to model ALL FORCES • EXTREMELY EXPENSIVE computationally • Knowledge-Based • Include other knowledge: SSP, PDB Analysis • Statistical Energy Potentials • Not so interested in folding process • “Hot” area of research Part II: Structure Prediction
  • 34. 34 Template-Free Modeling • All methods SIMPLIFY problem • Reduced Atomic Representations • C-α’s only; C-α + C-β; etc. • Simplify Force Fields • Only van der Waals; only 2-body interactions • Reduced Conformational Searches • Lattice Models • Dihedral Angle Restrictions Part II: Structure Prediction
  • 35. 35 Template-Free Modeling • Basic Approach: 1. Begin with an unfolded conformation 2. Make small conformational change 3. Measure energy of new conformation Accept based on heuristic: SA, MC, etc. 4. Repeat until ending criteria reached • Underlying Assumption: Correct Conformation has LOWEST ENERGY Part II: Structure Prediction
  • 36. 36 Diverse Efforts • Data Mining • Pattern Classification • Neural Networks, HMMs, Nearest Neighbour, etc. • Packing Algorithms • Search Optimization • Traveling Salesman Problem • Contact Maps, Contact Order • Constraint Logic, etc. • Combinations of the above! Part II: Structure Prediction
  • 37. 37 ROSETTA • Pioneered by Baker Group (U. of Washington) • Fragment Based Method • Guiding Assumption: • Fragment Conformations in PDB approximate their structural preferences • Pre-build fragment library • Alleviates need to do local energy calculations • Lowest energy conformations should already be in library Part II: Structure Prediction
  • 38. 38 ROSETTA • Pre-build fragment library • 3-mers and 9-mers • 200 structural possibilities for each • Build conformations from the library • Randomly assign 3-mers, 9-mers along chain • During conformational search, reassign a 3-mer or a 9-mer to a new conformation at random • Score using energy function • Adaptive: Coarse grain at first, detailed at end • Accept changes based on Monte Carlo method Part II: Structure Prediction
  • 39. 39 Diverse Efforts • Data Mining • Pattern Classification • Neural Networks, HMMs, Nearest Neighbour, etc. • Packing Algorithms • Search Optimization • Traveling Salesman Problem • Contact Maps, Contact Order • Constraint Logic, etc. • Combinations of the above! Part II: Structure Prediction
  • 40. 40 State of the Art • CASP Competition • Critical Assessment of Structure Prediction • Blind Competition Every 2 years • CASP6 in 2004 - CASP7 just completed • ~75 proteins whose structures have not been published as yet • Easy homologs examples • Distant homologs available • De novo structures: no homologs known Part II: Structure Prediction
  • 41. 41 State of the Art • Template Modeling CASP6 Target 266 (green), and best model (blue) Moult, J. (2005) Cur. Opin. Struct. Bio. 15:285-289 Part II: Structure Prediction
  • 42. 42 State of the Art • Template Modeling • Alignment still not easy, and often requires multiple templates • Accurate core models (within 2-3Å RMSD) • Still not good at modeling regions missing from template • Side-chain modeling not too good • Molecular dynamics not able to improve models as hoped Part II: Structure Prediction
  • 43. 43 State of the Art • Template-Free Modeling CASP6 target 201, and best model. Vincent, J.J. et. al (2005) Proteins 7:67-83. Part II: Structure Prediction
  • 44. 44 State of the Art CASP6 target 241, and 3 best models. • Template-Free Modeling Vincent, J.J. et. al (2005) Proteins 7:67-83. Part II: Structure Prediction
  • 45. 45 State of the Art • How Good are Current Techniques? • CASP6 Summary: “The disappointing results for [hard new fold] targets suggest that the prediction community as a whole has learned to copy well but has not really learned how proteins fold.” Vincent, J.J. et. al (2005) Proteins 7:67-83. Part II: Structure Prediction
  • 46. 46 PSP Summary • Many diverse, creative efforts • Progress IS being made in finding final 3D structures • Less so with regards to understanding folding mechanisms • NEEDED: • Marriage of Creative Ideas and Increased Resources Part II: Structure Prediction
  • 47. 47 Outline • Part I: Introduction • Proteins • Protein Folding • Part II: Protein Structure Prediction • Goals, Challenges • Techniques • State of the Art • Part III: Residue Patterning on β-Strands • β-Sheet Nucleation • Hydrophobic/Hydrophilic Patterning
  • 48. 48 β-Sheet Basics • Made up of β-Strands • Diverse: • Parallel/Antiparallel • Edge/Interior Strands • Typically Twisted • Many Forms • β-sandwiches, β-barrels, β-helices, β-propellers, etc. • 2D? 3D? • Less studied than helices Part III: β-Strand Patterning
  • 49. 49 Beta Sheet Basics Internalin A Narbonin Polygalacturonase Galactose Oxidase Part III: β-Strand Patterning
  • 50. 50 Beta Sheet Basics • What do we know? •  Residues: • V, I, F, Y, W, T, C L • Found largely in Protein Cores • Amphipathic Nature Part III: β-Strand Patterning
  • 52. 52 Theory of β-Sheet Nucleation • Hydrophobic Zipper (HZ) • Dill et. al. (1993) • Hydrophobic residues from different parts of chain make initial contact • Correct alignment of backbones • Hydrogen bonding • Subsequent growth via “Zipping Up” Part III: β-Strand Patterning
  • 53. 53 • Hydrophobic Zipper (HZ) Dill, K.A. et al., (1993) Proc. Natl. Acad. Sci. USA 90: 1942-1946. Part III: β-Strand Patterning Theory of β-Sheet Nucleation
  • 54. 54 Theory of Nucleation • Hydrophobic Zipper (HZ) • Once Hydrophobic “Seed” established, can grow out 2 directions Part III: β-Strand Patterning
  • 55. 55 Thought Experiment... • What would a Beta Seed look like? Part III: β-Strand Patterning
  • 56. 56 Thought Experiment... • What would a Beta Seed look like? • Contain hydrophobics • On both strands Part III: β-Strand Patterning
  • 57. 57 Thought Experiment... • What would a Beta Seed look like? • Contain hydrophobics • On both strands • How many? • Will single hydrophobic on each strand be sufficient? Part III: β-Strand Patterning
  • 58. 58 Thought Experiment... • What would a Beta Seed look like? • Contain hydrophobics • On both strands • How many? • Will single hydrophobic on each strand be sufficient? • Single Unlikely: • 1 Hydrophobic Residue NOT SPECIFIC ENOUGH • Too many possible combinations Part III: β-Strand Patterning
  • 59. 59 Thought Experiment... • What would a Beta Seed look like? • Contain hydrophobics • On both strands • How many? • Will single hydrophobic on each strand be sufficient? • Single Unlikely: • 1 Hydrophobic Residue NOT SPECIFIC ENOUGH • Too many possible combinations At least 1 strand must have >1 Hydrophobic Part III: β-Strand Patterning
  • 60. 60 Thought Experiment... • What hydrophobic arrangement would lead to Beta Sheet Nucleation? • i,i+1? • i,i+2? • i,i+3? • i,i+4? Part III: β-Strand Patterning
  • 61. 61 Thought Experiment... • What hydrophobic arrangement would lead to Beta Sheet Nucleation? • i,i+1? No, not likely: Amphipathic. • i,i+2? • i,i+3? • i,i+4? Part III: β-Strand Patterning
  • 62. 62 Thought Experiment... • What hydrophobic arrangement would lead to Beta Sheet Nucleation? • i,i+1? No, not likely: Amphipathic. • i,i+2? • i,i+3? No... Amphipathic. • i,i+4? Part III: β-Strand Patterning
  • 63. 63 Thought Experiment... • What hydrophobic arrangement would lead to Beta Sheet Nucleation? • i,i+1? No, not likely: Amphipathic. • i,i+2? • i,i+3? No... Amphipathic. • i,i+4? Seems too far apart... Part III: β-Strand Patterning
  • 64. 64 Thought Experiment... • What hydrophobic arrangement would lead to Beta Sheet Nucleation? • i,i+1? No, not likely: Amphipathic. • i,i+2? Most likely. • i,i+3? No... Amphipathic. • i,i+4? Seems too far apart... Chain loop? Part III: β-Strand Patterning
  • 65. 65 Hypothesis Assuming: • Beta Sheets Nucleate by Hydrophobics (HZ) • i,i+2 hydrophobic pairings on beta strands are necessary for nucleation Part III: β-Strand Patterning
  • 66. 66 Hypothesis Assuming: • Sec. structures contain their nucleating residues • Beta Sheets Nucleate by Hydrophobics (HZ) • i,i+2 hydrophobic pairings on beta strands are necessary for nucleation Beta Strands contain an increased frequency of i,i+2 hydrophobic residue pairings. Part III: β-Strand Patterning
  • 71. 71 Technique • Looking for statistically significant patterns • For any particular pattern: 1. Count how often it occurs in database 2. Randomly shuffle residues in sheets 3. Re-count how often pattern occurs 4. Repeat random shuffle and counting x1000 5. Compare initial count, avg random count Calculate the Std Dev σ If σ > 3.0, statistically significant Part III: β-Strand Patterning
  • 78. 78 Technique • Patterns of Interest: • Hydrophobic patterning (V L I F M) • Hydrophilic patterning (K R E D S T N Q) • Positions: • i,i+1 • i,i+2 • i,i+3 • i,i+4 • Consider only strands of length >= 5 residues Part III: β-Strand Patterning
  • 79. 79 Results • Hydrophilics • i,i+1 Part III: β-Strand Patterning
  • 80. 80 Results • Hydrophilics • i,i+1 • Strongly Disfavoured: -20.5σ Part III: β-Strand Patterning
  • 81. 81 Results • Hydrophilics • i,i+2 Part III: β-Strand Patterning
  • 82. 82 Results • Hydrophilics • i,i+2 • Strongly Favoured: 13.0σ Part III: β-Strand Patterning
  • 83. 83 Results • Hydrophilics • i,i+3 Part III: β-Strand Patterning
  • 84. 84 Results • Hydrophilics • i,i+3 • Strongly Disfavoured: -6.1σ Part III: β-Strand Patterning
  • 85. 85 Results • Hydrophilics • i,i+4 Part III: β-Strand Patterning
  • 86. 86 Results • Hydrophilics • i,i+4 • Strongly Favoured: 5.7σ Part III: β-Strand Patterning
  • 87. 87 Results • Hydrophilics: Summary • Demonstrate Amphipathic Separation • Suggests residues help guide tertiary formation • Moral Support: Technique seems sound -25 -20 -15 -10 -5 0 5 10 15 (i,i+1) (i,i+2) (i,i+3) (i,i+4) Pattern z- Score Part III: β-Strand Patterning
  • 88. 88 Results • Hydrophobics • i,i+1 Part III: β-Strand Patterning
  • 89. 89 Results • Hydrophobics • i,i+1 • Strongly Disfavoured: -16.8σ Part III: β-Strand Patterning
  • 90. 90 Results • Hydrophobics • i,i+3 Part III: β-Strand Patterning
  • 91. 91 Results • Hydrophobics • i,i+3 • Strongly Disfavoured: -16.6σ Part III: β-Strand Patterning
  • 92. 92 Results • Hydrophobics • i,i+2 Part III: β-Strand Patterning
  • 93. 93 Results • Hydrophobics • i,i+2 • Barely Favoured!: 3.5σ Part III: β-Strand Patterning
  • 94. 94 Results • Hydrophobics • i,i+4 Part III: β-Strand Patterning
  • 95. 95 Results • Hydrophobics • i,i+4 • Strongly Disfavoured: -19.6σ Part III: β-Strand Patterning
  • 96. 96 Results • Hydrophobics: Summary • Clearly amphipathic: i,i+1 i,i+3 Disfavoured • NOT particularly favoured at i,i+2  • Unexpectedly: i,i+4 strongly Disfavoured -25 -20 -15 -10 -5 0 5 (i,i+1) (i,i+2) (i,i+3) (i,i+4) Pattern z- Score Part III: β-Strand Patterning
  • 97. 97 Results • Hydrophobics: Summary • Where are the hydrophobic pairings?? • Not at i,i+1 or i,i+3 or i,i+4 • Barely at i,i+2 • Note: • Moderate i,i+2 pairing: No strong aggregation • Low low i,i+4 pairing: Not Dispersed! Isolated Part III: β-Strand Patterning
  • 100. 100 Results • Examine localized hydrophobic pairings... Part III: β-Strand Patterning
  • 101. 101 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT Part III: β-Strand Patterning
  • 102. 102 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT • Only slightly favoured: 2.5σ Part III: β-Strand Patterning
  • 103. 103 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT+1 Part III: β-Strand Patterning
  • 104. 104 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT+1 • Strongly favoured!!: 9.3σ Part III: β-Strand Patterning
  • 105. 105 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT+2 Part III: β-Strand Patterning
  • 106. 106 Results • Examine localized hydrophobic pairings... • i,i+2 @ NT+2 • Indifferent: 0.8σ Part III: β-Strand Patterning
  • 107. 107 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT Part III: β-Strand Patterning
  • 108. 108 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT • Favoured!: 5.7σ Part III: β-Strand Patterning
  • 109. 109 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT-1 Part III: β-Strand Patterning
  • 110. 110 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT-1 • Only slightly favoured: 3.4σ Part III: β-Strand Patterning
  • 111. 111 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT-2 Part III: β-Strand Patterning
  • 112. 112 Results • Examine localized hydrophobic pairings... • i,i+2 @ CT-2 • Only slightly favoured: 3.9σ Part III: β-Strand Patterning
  • 113. 113 Results • Examine localized hydrophobic pairings... • i,i+2 @ Interior Positions Part III: β-Strand Patterning
  • 114. 114 Results • Examine localized hydrophobic pairings... • i,i+2 @ Interior Positions • Actually Disfavoured!!: -3.0σ Part III: β-Strand Patterning
  • 115. 115 Results • Examine localized hydrophobic pairings... • Summary: • Localized i,i+2 hydrophobic pairing at NT and CT • Disfavoured at interior positions -4 -2 0 2 4 6 8 10 NT NT+1 NT+2 Central CT-2 CT-1 CT Avg Pattern Location z- Score Part III: β-Strand Patterning
  • 116. 116 Results • Examine localized hydrophobic pairings... • Are these patterns sense-specific? • @ NT+1: • Favoured for Parallel, Antiparallel -4 -2 0 2 4 6 8 10 Parallel Antiparallel Mixed Edge Strand Type z- Score Part III: β-Strand Patterning
  • 117. 117 Results • Examine localized hydrophobic pairings... • Are these patterns sense-specific? • @ CT: • Favoured for Antiparallel, Mixed • NOT PARALLEL! -1 0 1 2 3 4 5 Parallel Antiparallel Mixed Edge Strand Type z- Score Part III: β-Strand Patterning
  • 118. 118 Conclusions • Hydrophobic patterning suggests: • Hydrophobics are located on one side of beta sheets  AMPHIPATHIC • Hydrophobics are CLUSTERED • Hydrophobics aggregate at NT, CT • Parallel Strands: @ NT only • Antiparallel Strands: @ NT & CT • Supports HYDROPHOBIC ZIPPER theory for sheet nucleation Part III: β-Strand Patterning
  • 119. 119 Implications • How do beta sheets nucleate? • Parallel Part III: β-Strand Patterning
  • 120. 120 Implications • How do beta sheets nucleate? • Parallel • Nucleate at NT • Growth is unidirectional: NTCT Part III: β-Strand Patterning
  • 121. 121 Implications • How do beta sheets nucleate? • Antiparallel Part III: β-Strand Patterning
  • 122. 122 Implications • How do beta sheets nucleate? • Antiparallel • Nucleate at edge • Growth is unidirectional Part III: β-Strand Patterning
  • 123. 123 Future Work 1. Extend this work to 2D Both intra- and inter-strand patterning 2. Consider more complex patterning 3 residues on one strand? NT Position? Specific residue combinations? 3. Consider patterning by beta-sheet type Beta Helices, Barrels, Sandwiches, etc. Part III: β-Strand Patterning
  • 124. 124 Acknowledgements • Dr. Jia • Lab Members • Dr. Qilu Ye • Dr. Vinay Singh • Dr. Susan Yates • Daniel Lee • Jimmy Zheng • Neilin Jaffer • NSERC • Andrew Wong • Michael Suits • Laura van Staalduinen • Mark Currie • Kateryna Podzelinska