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Related Concept Videos

Thermodynamics: Activity Coefficient01:24

Thermodynamics: Activity Coefficient

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Activity is the measure of the effective concentration of the species in solution. It can be expressed as the product of the molar concentration of the species and its activity coefficient. The activity coefficient is a dimensionless quantity and depends on the total ionic strength of the solution.
The activity coefficient is a measure of the deviation from ideal behavior. When the ionic strength of the solution is minimal, the activity coefficient of an ionic species is close to unity, making...
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Passive Diffusion: Overview and Kinetics01:17

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Passive diffusion is a critical process that allows small lipophilic drugs to cross the cell membrane along a concentration gradient. This mechanism's efficiency depends on four primary factors: the membrane's surface area, the drug's lipid-water partition coefficient, the concentration gradient, and the membrane's thickness.
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Factors Affecting Activity Coefficient01:17

Factors Affecting Activity Coefficient

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The extended Debye-Hückel equation indicates that the activity coefficient of an ion in an aqueous solution at 25°C depends on three partially interdependent properties: the ionic strength of the solution, the charge of the ion, and the ion size. 
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Quantifying Heat02:46

Quantifying Heat

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Thermal Energy Microscopically, thermal energy is the kinetic energy associated with the random motion of atoms and molecules. Temperature is a quantitative measure of “hot” or “cold”, which depends on the amount of thermal energy. When the atoms and molecules in an object are moving or vibrating quickly, they have a higher average kinetic energy (KE) (or higher thermal energy), and the object is perceived as “hot”, or it is described as being at a higher temperature. When the...
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Diffusion01:12

Diffusion

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Diffusion is the passive movement of substances down their concentration gradients—requiring no expenditure of cellular energy. Substances, such as molecules or ions, diffuse from an area of high concentration to an area of low concentration in the cytosol or across membranes. Eventually, the concentration will even out, with the substance moving randomly but causing no net change in concentration. Such a state is called dynamic equilibrium, which is essential for maintaining overall...
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Diffusion01:21

Diffusion

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Diffusion is a type of passive transport. In passive transport, a substance tends to move from an area of high concentration to an area of low concentration until the concentration is equal across the space. For example, take the diffusion of substances through the air. When someone opens a perfume bottle in a room filled with people, the perfume is at its highest concentration in the bottle and is at its lowest at the edges of the room. The perfume vapor will diffuse, or spread away, from the...
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Updated: Nov 25, 2025

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Prediction of Compound Bioactivities Using Heat-Diffusion Equation.

Tadashi Hidaka1, Keiko Imamura2,3,4,5, Takeshi Hioki1,3

  • 1Research, Takeda Pharmaceutical Company Limited, Fujisawa, Japan.

Patterns (New York, N.Y.)
|December 18, 2020
PubMed
Summary

A new prediction model based on the heat-diffusion equation (PM-HDE) enhances machine learning for cell-based phenotypic screening. This approach successfully identifies novel drug candidates and improves hit enrichment in complex screening datasets.

Keywords:
AIALSchemotypecompound screeningdrug discoveryheat-diffusion equationiPSC panelmachine learningphenotypic screeningprediction

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Area of Science:

  • Computational chemistry
  • Drug discovery
  • Machine learning applications

Background:

  • Cell-based phenotypic screening faces challenges like low throughput, high costs, imbalanced data, and unpredictable new chemical structures.
  • Existing machine learning models struggle with the complexity and non-linear predictions inherent in phenotypic screening.

Purpose of the Study:

  • To develop an advanced prediction model, the Prediction Model based on the Heat-Diffusion Equation (PM-HDE), to overcome limitations in machine learning for phenotypic screening.
  • To validate the PM-HDE model's efficacy in virtual compound screening and its application in actual drug discovery pipelines.

Main Methods:

  • Developed the Prediction Model based on the Heat-Diffusion Equation (PM-HDE) algorithm.
  • Validated PM-HDE using biotest data from 946 assay systems in PubChem for virtual compound screening.
  • Applied PM-HDE to supervised learning on ~50,000 compounds from motor neuron screening (ALS-patient-induced pluripotent stem cells) for large-scale virtual screening (>1.6 million compounds).

Main Results:

  • The PM-HDE algorithm demonstrated feasibility for virtual compound screening.
  • PM-HDE successfully enriched hit compounds in large-scale virtual screening efforts.
  • The model identified novel chemical structures (chemotypes), indicating its potential for discovering new therapeutic agents.

Conclusions:

  • The PM-HDE model offers a solution to the inflexibility and challenges associated with applying machine learning to complex phenotypic screening.
  • This novel approach provides a powerful platform for accelerating drug discovery by improving the efficiency and effectiveness of screening processes.