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Related Concept Videos

Force and Potential Energy in One Dimension01:13

Force and Potential Energy in One Dimension

Force can be calculated from the expression for potential energy, which is a function of position. The component of a conservative force, in a particular direction, equals the negative of the derivative of the corresponding potential energy with respect to the displacement in that direction. For regions where potential energy changes rapidly with displacement, the work done and force is maximum. Also, when force is applied along the positive coordinate axis, the potential energy decreases with...
Force and Potential Energy in Three Dimensions01:04

Force and Potential Energy in Three Dimensions

Consider a particle moving under the action of a conservative force that has components along each coordinate axis. Each component of force is a function of the coordinates. The potential energy function U is also a function of all three spatial coordinates. Force in one dimension can be written as the negative ratio of potential energy change to the displacement along that coordinate. For minimal displacement, the ratios become derivatives. If a function has many variables, the derivative only...
Induced Electric Dipoles01:28

Induced Electric Dipoles

A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Entropy and Solvation02:05

Entropy and Solvation

The process of surrounding a solute with solvent is called solvation. It involves evenly distributing the solute within the solvent. The rule of thumb for determining a solvent for a given compound is that like dissolves like. A good solvent has molecular characteristics similar to those of the compound to be dissolved. For example, polar solutions dissolve polar solutes, and apolar solvents dissolve apolar solutes. A polar solvent is a solvent that has a high dielectric constant (ϵ ≥ 15); an...
Non-conservative Forces01:17

Non-conservative Forces

Non-conservative forces are dissipative forces such as friction or air resistance. These forces take energy away from a system as it progresses. Unlike conservative forces, non-conservative forces do not have potential energy associated with them. This is because the energy is lost to the system and cannot be turned into useful work later.
Also unlike their conservative counterparts, they are path-dependent; where the object starts and stops does matter. For example, a grinding wheel applies a...
Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as

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Related Experiment Video

Updated: May 30, 2026

Force Spectroscopy of Single Protein Molecules Using an Atomic Force Microscope
06:45

Force Spectroscopy of Single Protein Molecules Using an Atomic Force Microscope

Published on: February 28, 2019

Internal force field in proteins seen by divergence entropy.

Damian Marchewka, Mateusz Banach, Irena Roterman

    Bioinformation
    |July 20, 2011
    PubMed
    Summary

    Protein interactions are key. Hydrophobic interactions follow 3D Gauss functions, while electrostatic interactions are random, suggesting different optimization strategies for protein design.

    Area of Science:

    • Biophysics
    • Computational Biology
    • Protein Science

    Background:

    • Understanding non-binding interactions in proteins is crucial for predicting protein structure and function.
    • Hydrophobic and electrostatic interactions play distinct roles in molecular recognition and stability.
    • Current optimization methods may not adequately account for the differing distributions of these interaction types.

    Purpose of the Study:

    • To characterize the spatial distribution of non-binding interactions within proteins.
    • To differentiate the optimization strategies for hydrophobic and electrostatic interactions based on their characteristic distributions.
    • To propose a novel approach for protein structure optimization.

    Main Methods:

    • Analysis of protein structures to identify and quantify non-binding interactions.

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    Last Updated: May 30, 2026

    Force Spectroscopy of Single Protein Molecules Using an Atomic Force Microscope
    06:45

    Force Spectroscopy of Single Protein Molecules Using an Atomic Force Microscope

    Published on: February 28, 2019

    Investigating Protein Sequence-structure-dynamics Relationships with Bio3D-web
    09:51

    Investigating Protein Sequence-structure-dynamics Relationships with Bio3D-web

    Published on: July 16, 2017

    Molecular Spring Constant Analysis by Biomembrane Force Probe Spectroscopy
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    Molecular Spring Constant Analysis by Biomembrane Force Probe Spectroscopy

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  • Mathematical modeling using 3D Gauss functions to characterize hydrophobic interactions.
  • Statistical analysis to determine the distribution patterns of electrostatic interactions.
  • Development of a differentiated optimization procedure incorporating these findings.
  • Main Results:

    • Hydrophobic interactions exhibit a characteristic distribution that can be modeled by 3D Gauss functions.
    • Electrostatic interactions generally follow a random distribution within protein structures.
    • A differentiated optimization approach is proposed, leveraging these distinct interaction characteristics.

    Conclusions:

    • The distinct distributions of hydrophobic and electrostatic interactions necessitate tailored optimization strategies.
    • Utilizing 3D Gauss functions for hydrophobic interactions and traditional energy optimization with specific convergence criteria for electrostatic interactions can enhance protein design.
    • This work provides a framework for more accurate and efficient protein structure optimization.