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Related Concept Videos

Entropy02:39

Entropy

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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Entropy01:18

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The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
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Entropy is a state function, so the standard entropy change for a chemical reaction (ΔS°rxn) can be calculated from the difference in standard entropy between the products and the reactants.
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Entropy and Solvation02:05

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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...
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Entropy within the Cell01:22

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A living cell's primary tasks of obtaining, transforming, and using energy to do work may seem simple. However, the second law of thermodynamics explains why these tasks are harder than they appear. None of the energy transfers in the universe are completely efficient. In every energy transfer, some amount of energy is lost in a form that is unusable. In most cases, this form is heat energy. Thermodynamically, heat energy is defined as the energy transferred from one system to another that...
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Entropy and the Second Law of Thermodynamics01:20

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The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
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Learning kernels from biological networks by maximizing entropy.

Koji Tsuda1, William Stafford Noble

  • 1Max Planck Institute for Biological Cybernetics, Tübingen, Germany.

Bioinformatics (Oxford, England)
|July 21, 2004
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Summary
This summary is machine-generated.

We introduce a locally constrained diffusion kernel for improved biological network analysis. This method enhances support vector machine predictions for protein functions, outperforming standard diffusion kernels.

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Area of Science:

  • Graph theory
  • Computational biology
  • Machine learning

Background:

  • The diffusion kernel computes pairwise distances in biological networks using weighted paths.
  • It has been successfully applied with kernel-based learning for network inference.

Purpose of the Study:

  • To propose a novel, locally constrained diffusion kernel.
  • To improve predictions of protein functional classifications using biological networks.

Main Methods:

  • Equating the standard diffusion kernel to maximizing von Neumann entropy with a global distance constraint.
  • Developing and applying a locally constrained diffusion kernel.

Main Results:

  • The standard diffusion kernel's global constraint leads to high variance in pairwise distances.
  • The locally constrained diffusion kernel improves support vector machine prediction accuracy.
  • Demonstrated improved protein functional classification from metabolic and protein-protein interaction networks.

Conclusions:

  • A locally constrained diffusion kernel offers enhanced predictive power for biological network analysis.
  • This approach refines machine learning applications in systems biology.