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Related Concept Videos

Types of Damping01:20

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Magnetic Damping01:17

Magnetic Damping

Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
Forced Oscillations01:06

Forced Oscillations

When an oscillator is forced with a periodic driving force, the motion may seem chaotic. The motions of such oscillators are known as transients. After the transients die out, the oscillator reaches a steady state, where the motion is periodic, and the displacement is determined.
Torsional Pendulum01:09

Torsional Pendulum

A torsional pendulum involves the oscillation of a rigid body in which the restoring force is provided by the torsion in the string from which the rigid body is suspended. Ideally, the string should be massless; practically, its mass is much smaller than the rigid body's mass and is neglected.
As long as the rigid body's angular displacement is small, its oscillation can be modeled as a linear angular oscillation. The amplitude of the oscillation is an angle. The role of mass is played by the...

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Related Experiment Videos

Damped-dynamics flexible fitting.

Julio A Kovacs1, Mark Yeager, Ruben Abagyan

  • 1Department of Molecular Biology, The Scripps Research Institute, La Jolla, California, USA. jkovacs@seaspace.com

Biophysical Journal
|July 1, 2008
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for fitting atomic structures to electron microscopy (EM) maps, accurately modeling large structural changes while preserving covalent geometry. This approach offers a more efficient and robust solution for structural biology challenges.

Related Experiment Videos

Area of Science:

  • Structural Biology
  • Computational Biophysics
  • Biomolecular Modeling

Background:

  • Electron microscopy (EM) maps often represent conformations different from known atomic structures.
  • Existing methods struggle with fitting structures to alternative conformations and modeling large deformations.
  • Preserving covalent geometry during structural fitting is crucial for accurate molecular representation.

Purpose of the Study:

  • To develop a new methodology for fitting atomic structures into EM maps, accommodating conformational differences.
  • To enable the modeling of large deformations while preserving covalent geometry.
  • To provide a more efficient and robust computational approach compared to current methods.

Main Methods:

  • Utilized generalized coordinates (positional and internal) to preserve covalent geometry.
  • Employed dampers (shock absorbers) and a force field attracting structures to EM map regions, avoiding harmonic potentials.
  • Integrated equations of motion to obtain a converged atomic conformation.

Main Results:

  • The developed methodology successfully converges to target atomic structures in validation cases.
  • The approach is more efficient and robust against incorrect solutions and overfitting than existing methods.
  • The method requires no user intervention or subjective decisions.

Conclusions:

  • The new methodology provides an effective solution for fitting atomic structures to EM maps with conformational variability.
  • It offers significant advantages in efficiency, robustness, and objectivity.
  • Potential applications include modeling transition pathways, homology modeling, loop modeling, and protein docking.