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Related Concept Videos

Protein Networks02:26

Protein Networks

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
Protein Networks02:26

Protein Networks

An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
Block Diagram Reduction01:22

Block Diagram Reduction

The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...
Covalently Linked Protein Regulators02:04

Covalently Linked Protein Regulators

Proteins can undergo many types of post-translational modifications, often in response to changes in their environment. These modifications play an important role in the function and stability of these proteins. Covalently linked molecules include functional groups, such as methyl, acetyl, and phosphate groups, and also small proteins, such as ubiquitin. There are around 200 different types of covalent regulators that have been identified.
These groups modify specific amino acids in a protein.
Reaction Mechanisms: Rate-limiting Step Approximation01:29

Reaction Mechanisms: Rate-limiting Step Approximation

The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the observed rate law and typically involves approximation methods like the RDS approximation or the steady-state approximation.In the RDS approximation, also known as the rate-limiting-step or equilibrium approximation, the reaction mechanism consists of one or more reversible reactions near equilibrium, followed by a slower RDS, and then one or...
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...

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Related Experiment Video

Updated: May 22, 2026

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
07:08

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

Published on: July 14, 2015

Guaranteed error bounds for structured complexity reduction of biochemical networks.

Thomas P Prescott1, Antonis Papachristodoulou

  • 1Life Sciences Interface Doctoral Training Centre, University of Oxford, Parks Road, Oxford OX1 3QU, UK. thomas.prescott@dtc.ox.ac.uk

Journal of Theoretical Biology
|May 5, 2012
PubMed
Summary

This study introduces a novel method for quantifying errors in biological model reduction. By using dynamical systems and convex optimization, it bounds the worst-case error, improving the reliability of simplified biological models.

Related Experiment Videos

Last Updated: May 22, 2026

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues
07:08

Optimization of Synthetic Proteins: Identification of Interpositional Dependencies Indicating Structurally and/or Functionally Linked Residues

Published on: July 14, 2015

Area of Science:

  • Systems Biology
  • Computational Biology
  • Dynamical Systems Theory

Background:

  • Biological systems are complex, high-dimensional nonlinear models.
  • Model reduction is essential for analysis but introduces errors.
  • Quantifying reduction error is crucial for accurate biological insights.

Purpose of the Study:

  • Develop a method to calculate model reduction error in biological systems.
  • Provide a robust framework for assessing the accuracy of reduced models.
  • Enhance the reliability of systems biology models.

Main Methods:

  • Define an error system to measure discrepancies between original and reduced models.
  • Employ convex optimization techniques for error approximation.
  • Utilize Sum of Squares decomposition to bound worst-case error.

Main Results:

  • Successfully defined an error system for quantifying model reduction discrepancies.
  • Applied convex optimization and Sum of Squares to find error bounds.
  • Demonstrated the method's applicability with biological examples.

Conclusions:

  • The proposed method accurately bounds model reduction error.
  • This technique enhances the trustworthiness of reduced biological models.
  • Applicable to large, structured models in systems biology.