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Related Concept Videos

Protein Organization01:24

Protein Organization

Proteins are polymers of amino acid residues. They are versatile and responsible for different cellular functions, including DNA replication, molecular transport, catalysis, and structural support. Proteins have a hierarchical structure comprising at least three levels of organization: primary, secondary, and tertiary structure. Some large proteins have a quaternary structure where individual protein subunits are linked together.
The primary structure of a protein is its amino acid sequence.
Protein Organization01:13

Protein Organization

Overview
Protein Complexes with Interchangeable Parts01:57

Protein Complexes with Interchangeable Parts

Groups of proteins may form a complex where each protein in this complex has a different role in the overall execution of the complex’s function. Often some of the proteins in the complex can be replaced by a closely related variant to give a complex that contains many of the same components yet is functionally distinct.
The SCF ubiquitin ligase is a protein complex of five individual proteins. This complex attaches ubiquitin to other target proteins to mark them for degradation. In order to...
Protein Complexes with Interchangeable Parts01:57

Protein Complexes with Interchangeable Parts

Groups of proteins may form a complex where each protein in this complex has a different role in the overall execution of the complex’s function. Often some of the proteins in the complex can be replaced by a closely related variant to give a complex that contains many of the same components yet is functionally distinct.
The SCF ubiquitin ligase is a protein complex of five individual proteins. This complex attaches ubiquitin to other target proteins to mark them for degradation. In order to...
Protein-protein Interfaces02:04

Protein-protein Interfaces

Many proteins form complexes to carry out their functions, making protein-protein interactions (PPIs) essential for an organism's survival. Most PPIs are stabilized by numerous weak noncovalent chemical forces. The physical shape of the interfaces determines the way two proteins interact. Many globular proteins have closely-matching shapes on their surfaces, which form a large number of weak bonds. Additionally, many PPIs occur between two helices or between a surface cleft and a polypeptide...
Protein Folding01:22

Protein Folding

Overview

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Structure and Coordination Determination of Peptide-metal Complexes Using 1D and 2D 1H NMR
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Determining protein structures from NOESY distance constraints by semidefinite programming.

Babak Alipanahi1, Nathan Krislock, Ali Ghodsi

  • 1David R. Cheriton School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada.

Journal of Computational Biology : a Journal of Computational Molecular Cell Biology
|November 2, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a novel semidefinite programming (SDP) formulation for Euclidean distance matrix (EDM) methods, improving protein nuclear magnetic resonance (NMR) structure determination. The new approach significantly accelerates computation and enhances robustness against noisy data.

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Area of Science:

  • Biophysics
  • Computational Biology
  • Structural Biology

Background:

  • Protein structure determination using Nuclear Magnetic Resonance (NMR) relies on Nuclear Overhauser Effect (NOE) distance constraints.
  • Current methods employ molecular dynamics with simulated annealing, facing challenges due to non-convex optimization and noisy constraints.
  • Euclidean distance matrix (EDM) methods using semidefinite programming (SDP) offer a framework but are computationally intensive and sensitive to constraint inaccuracies.

Purpose of the Study:

  • To develop a more efficient and robust SDP formulation for EDM-based protein structure determination.
  • To address the computational complexity and numerical instability issues of existing SDP approaches.

Main Methods:

  • A novel SDP formulation for the EDM approach was developed.
  • Proteins were modeled as intersecting two- and three-dimensional cliques.
  • Semidefinite facial reduction technique was adapted to reduce the SDP problem size.

Main Results:

  • The SDP problem size was reduced to approximately one quarter of the original.
  • The reduced SDP problem was solved approximately 100 times faster than conventional methods.
  • The new method demonstrated increased resistance to numerical issues arising from erroneous distance bounds.

Conclusions:

  • The proposed SDP formulation enhances the efficiency and robustness of EDM-based protein NMR structure determination.
  • This advancement facilitates more accurate and rapid structural analysis of proteins.
  • The method offers a promising alternative for tackling complex optimization problems in structural biology.