beyond linus pauling: conformation dependence of ideal geometry in proteins

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Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins Donald S. Berkholz P. Andrew Karplus lab

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Page 1: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Beyond Linus Pauling: Conformation dependence

of ideal geometry in proteins

Donald S. BerkholzP. Andrew Karplus lab

Page 2: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

What is ideal geometry?

α α

R

R

NH2

Page 3: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Where do you encounter ideal geometry?

Page 4: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Where do you encounter ideal geometry?

Page 5: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Where do you encounter ideal geometry?

Page 6: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Where do you encounter ideal geometry?

Page 7: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Where do you encounter ideal geometry?

Page 8: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Ideal geometry paradigm is limited

N-Cα-C

Page 9: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

A new paradigm

N-Cα-C

Page 10: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Why is this important?

RMSD(N-Cα-C)

Engh & Huber = 2.54°Conformation-Dependent Library = 1.65°

Page 11: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Why is this important?

Page 12: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Our approach

Page 13: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Our approach

Protein Geometry Database

Page 14: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Our approach

Protein Geometry Database

≤1.0 Å resolution

Page 15: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Our approach

Protein Geometry Database

≤1.0 Å resolution Residues in PGD

19,516 (≤90% ID) 16,975 (≤25% ID)

Page 16: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Our approach

Protein Geometry Database

≤1.0 Å resolution Residues in PGD

19,516 (≤90% ID) 16,975 (≤25% ID)

Conformation-Dependent Library

Page 17: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

What trends exist?N-Cα-Caverage

φ

ψ

107.5 114.0

Page 18: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Averages known with high certaintyN-Cα-C

standarderror

ψ

φ0.1 1.1

Page 19: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Dependent on local torsion angle

α α

R

R

NH2

Page 20: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Dependent on local torsion angle

C-1-N-Cα

average

φ

ψ

α α

R

R

119.5 126.0

NH2

Page 21: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Dependent on local torsion angle

N-Cα-Caverage

C-1-N-Cα

average

φ

ψ

φ

ψ

α α

R

R

119.5 126.0 107.5 114.0

NH2

Page 22: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Dependent on local torsion angle

N-Cα-Caverage

C-1-N-Cα

averageCα-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

Page 23: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Rationalizing φ = 40-90°

Page 24: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Rationalizing φ = 40-90°

C-1-N-Cα

average

ψ

ω-1

average

ψ

O-1-C

-1-N

average

ψ

φφ

N-Cα-Cβaverage

ψ

φφ

φ

109.0 114.0119.5 126.0121.8 123.4

172.0 189.0

Page 25: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Rationalizing φ = 40-90°

C-1-N-Cα

average

ψ

ω-1

average

ψ

O-1-C

-1-N

average

ψ

φφ

N-Cα-Cβaverage

ψ

φφ

φ

109.0 114.0119.5 126.0121.8 123.4

172.0 189.0

Page 26: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

New paradigm for peptide planarity

PDB: 2cws at 7.0σ

Page 27: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

New paradigm for peptide planarity

ω average

ω-1

average

φ

φ

ψ

ψ

PDB: 2cws at 7.0σ 172.0 186.0

172.0 189.0

Page 28: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

How could CDL improve refinement?

Page 29: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

How does CDL improve refinement?

Page 30: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

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°

Page 31: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Conclusion

N-Cα-Caverage

φ

ψ

The old paradigm

110.5 110.5

Page 32: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Conclusion

N-Cα-Caverage

ψ

φ

N-Cα-Caverage

φ

ψ

The old paradigm The new paradigm

107.5 114.0110.5 110.5

Page 33: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins
Page 34: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Why is this important?

RMSD(N-Cα-C)

Engh & Huber = 2.39°Conformation-Dependent Library = 1.50°

Page 35: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Why is this important?

Page 36: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

What is the impact of these variations?

Page 37: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Approach to trend analysisN-Cα-Caverage

ψ

φ

Page 38: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Approach to trend analysisN-Cα-Caverage

ψ

φ

Page 39: Beyond Linus Pauling: Conformation dependence of ideal geometry in proteins

Peptide planarity is overexaggerated

Kang 2004