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Related Concept Videos

Method of Superposition01:20

Method of Superposition

The method of superposition is a crucial technique in structural engineering, used to analyze the effect of multiple loads on beams. This approach involves calculating the deflection and slope for each load on a beam separately, and then summing these effects to determine the overall impact. It is applicable only when the beam material remains within its elastic limit, ensuring that deformations are linearly elastic.
When applying the method of superposition, each type of load—whether...
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
Multicompartment Models: Overview01:14

Multicompartment Models: Overview

Multicompartment models are mathematical constructs that depict how drugs are distributed and eliminated within the body. They segment the body into several compartments, symbolizing various physiological or anatomical areas connected through drug transfer processes such as absorption, metabolism, distribution, and elimination.
These models offer a more comprehensive representation of drug behavior in the body than one-compartment models. They accommodate the complexity of drug distribution,...
Methods of Medium Optimization01:28

Methods of Medium Optimization

Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
Electron Microscope Tomography and Single-particle Reconstruction01:07

Electron Microscope Tomography and Single-particle Reconstruction

Transmission electron microscopy (TEM) can be used to determine the 3D structure of biological samples with the help of techniques such as electron microscope tomography and single-particle reconstruction. While single-particle reconstruction can examine macromolecules and macromolecular complexes in vitro conditions only, tomography permits the study of cell components or small cells in vivo.
Electron Tomography
Electron tomography can be performed either in TEM or STEM (scanning transmission...

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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

Optimal simultaneous superpositioning of multiple structures with missing data.

Douglas L Theobald1, Phillip A Steindel

  • 1Department of Biochemistry, Brandeis University, MS009, Waltham, MA 02454, USA. dtheobald@brandeis.edu

Bioinformatics (Oxford, England)
|May 1, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a new method to optimally superimpose macromolecular structures even with missing data points. The expectation-maximization algorithm provides a robust solution for structural biology comparisons.

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Area of Science:

  • Structural Biology
  • Computational Biology
  • Bioinformatics

Background:

  • Superpositioning is crucial for comparing conformational changes in similar structures.
  • Existing methods struggle with missing data points, leading to inefficient analysis and ignoring valuable information.
  • Current approaches fail to meet the least-squares criterion when data is incomplete.

Purpose of the Study:

  • To develop a general solution for optimal superpositioning with incomplete structural data.
  • To address the limitations of current methods in handling missing atomic coordinates.
  • To provide a statistically robust approach for macromolecular structure comparison.

Main Methods:

  • Utilized the expectation-maximization algorithm, a statistical technique for handling incomplete datasets.
  • Implemented the method in THESEUS 2.0 software for macromolecular structure superposition.
  • The algorithm finds both maximum-likelihood and optimal least-squares solutions.

Main Results:

  • A general solution for optimal superpositioning with missing data has been developed.
  • The expectation-maximization algorithm effectively handles incomplete structural information.
  • The approach provides accurate least-squares solutions even with gaps in the data.

Conclusions:

  • The novel method enables more accurate and complete structural comparisons in the presence of missing data.
  • THESEUS 2.0 offers a practical implementation for researchers in structural biology.
  • This advancement improves the analysis of conformational differences in macromolecular structures.