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Beyond Linus Pauling:
Conformation dependence
of ideal geometry in proteins
Donald S. Berkholz
P. Andrew Karplus lab
What is ideal geometry?
α α
R
R
NH2
Where do you encounter ideal geometry?
Where do you encounter ideal geometry?
Where do you encounter ideal geometry?
Where do you encounter ideal geometry?
Where do you encounter ideal geometry?
Ideal geometry paradigm is limited
N-Cα-C
A new paradigm
N-Cα-C
Why is this important?
RMSD(N-Cα-C)
Engh & Huber = 2.54°
Conformation-Dependent Library = 1.65°
Why is this important?
Our approach
Our approach

Protein Geometry
Database
Our approach

Protein Geometry
Database

≤1.0 Å resolution
Our approach

Protein Geometry
Database

≤1.0 Å resolution

Residues in PGD

19,516 (≤90% ID)

16,975 (≤25% ID)
Our approach

Protein Geometry
Database

≤1.0 Å resolution

Residues in PGD

19,516 (≤90% ID)

16,975 (≤25% ID)

Conformation-Dependent
Library
What trends exist?
N-Cα-C
average
φ
ψ
Averages known with high certainty
N-Cα-C
standard
error
ψ
φ
Dependent on local torsion angle
α α
R
R
NH2
Dependent on local torsion angle
C-1
-N-Cα
average
φ
ψ
α α
R
R
119.5 126.0
NH2
Dependent on local torsion angle
N-Cα-C
average
C-1
-N-Cα
average
φ
ψ
φ
ψ
α α
R
R
119.5 126.0 107.5 114.0
NH2
Dependent on local torsion angle
N-Cα-C
average
C-1
-N-Cα
average
Cα-C-N+1
average
φ
ψ
φ
ψ
φ
ψ
α α
R
R
119.5 126.0 107.5 114.0 114.5 119.5
NH2
Rationalizing φ = 40-90°
Rationalizing φ = 40-90°
C-1
-N-Cα
average
ψ
ω-1
average
ψ
O-1
-C-1
-N
average
ψ
φ
φ
N-Cα-Cβ
average
ψ
φφ
φ
172.0 189.0
Rationalizing φ = 40-90°
C-1
-N-Cα
average
ψ
ω-1
average
ψ
O-1
-C-1
-N
average
ψ
φ
φ
N-Cα-Cβ
average
ψ
φφ
φ
172.0 189.0
New paradigm for
peptide planarity
PDB: 2cws at 7.0σ
New paradigm for
peptide planarity
ω
average
ω-1
average
φ
φ
ψ
ψ
PDB: 2cws at 7.0σ
172.0 189.0
How could CDL improve refinement?
How does CDL improve refinement?
How does CDL improve refinement?
RMSD(N-Cα-C)
Resolution 2.5 Å 1.7 Å
Engh & Huber 3.23° 3.56°
Conformation-
Dependent
Library
1.32° 1.54°
Conclusion
N-Cα-C
average
φ
ψ
The old paradigm
110.5 110.5
Conclusion
N-Cα-C
average
ψ
φ
N-Cα-C
average
φ
ψ
The old paradigm The new paradigm
107.5 114.0110.5 110.5
Why is this important?
RMSD(N-Cα-C)
Engh & Huber = 2.39°
Conformation-Dependent Library = 1.50°
Why is this important?
What is the impact of these variations?
Approach to trend analysis
N-Cα-C
average
ψ
φ
Approach to trend analysis
N-Cα-C
average
ψ
φ
Peptide planarity is overexaggerated
Kang 2004

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Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins