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Related Concept Videos

Phasor Arithmetics01:13

Phasor Arithmetics

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Phasors and their corresponding sinusoids are interrelated, offering unique insights into the behavior of alternating current (AC) circuits. One way to understand this relationship is through the operations of differentiation and integration in both the time and phasor domains.
When the derivative of a sinusoid is taken in the time domain, it transforms into its corresponding phasor multiplied by j-omega (jω) in the phasor domain, where j is the imaginary unit, and ω is the angular...
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Kirchoff's Laws using Phasors01:12

Kirchoff's Laws using Phasors

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Analyzing AC circuits in electrical systems is a fundamental aspect of electrical engineering. In these circuits, AC power is supplied from a distribution panel and wired to various household appliances in parallel. To perform a comprehensive analysis, electrical engineers use Kirchhoff's voltage and current laws, which are equally applicable in AC circuits as in DC circuits.
Kirchhoff's voltage law (KVL) states that the sum of phasor voltages around a closed loop in an AC circuit equals zero....
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Phasors01:12

Phasors

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Phasors are a powerful mathematical tool used to analyze alternating current (AC) circuits. They provide a complex number representation of sinusoids, with the magnitude of the phasor equating to the amplitude of the sinusoid and the angle of the phasor representing the phase measured from the positive x-axis.
One of the significant benefits of using phasors is that they simplify the analysis of AC circuits by eliminating the time dependence of the current and voltage. This transformation...
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Phasor Relationships for Circuit Elements01:16

Phasor Relationships for Circuit Elements

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Phasor representation is a powerful tool used to transform the voltage-current relationship for resistors, inductors, and capacitors from the time domain to the frequency domain. This transformation simplifies the analysis of alternating current (AC) circuits.
In the time domain, Ohm's law provides a fundamental relation between the current flowing through a resistor and the voltage across it:
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Molecular Orbital Theory II03:51

Molecular Orbital Theory II

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Molecular Orbital Energy Diagrams
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Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

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The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an...
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Related Experiment Video

Updated: Jan 10, 2026

Tracking Drug-induced Changes in Receptor Post-internalization Trafficking by Colocalizational Analysis
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Tracking Drug-induced Changes in Receptor Post-internalization Trafficking by Colocalizational Analysis

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Redefining colocalization analysis with a novel phasor mixing coefficient.

Owen F Puls1, Jesse S Aaron1, Ellen K Quarles1

  • 1Advanced Imaging Center and Integrative Imaging , Howard Hughes Medical Institute Janelia Research Campus, Ashburn, VA 20147, USA.

Journal of Cell Science
|November 24, 2025
PubMed
Summary
This summary is machine-generated.

The new Phasor Mixing Coefficient (PMC) method accurately quantifies biomolecular spatial association using multispectral imaging. PMC offers a robust alternative to traditional colocalization metrics, showing less sensitivity to experimental variations.

Keywords:
ColocalizationMultispectral imagingPhasor analysisQuantitative microscopy

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Area of Science:

  • Cellular Biology
  • Biophysics
  • Microscopy

Background:

  • Determining biomolecular spatial association is crucial for inferring potential interactions within cells.
  • Traditional colocalization metrics rely on fluorescent signal overlap, which can be sensitive to experimental conditions.
  • Existing methods provide indirect estimations and are often limited by signal-to-noise ratio and intensity thresholds.

Purpose of the Study:

  • To introduce a novel strategy, the Phasor Mixing Coefficient (PMC), for quantifying biomolecular spatial association.
  • To demonstrate PMC's ability to capture complex biological information through precise pixel-level signal mixing.
  • To compare PMC's robustness against traditional colocalization metrics.

Main Methods:

  • Leveraging multispectral imaging and phasor analysis to develop the Phasor Mixing Coefficient (PMC).
  • PMC quantifies the precise mixing of fluorescent signals at each pixel.
  • Evaluating PMC's performance and sensitivity compared to conventional methods.

Main Results:

  • PMC provides two distinct values: global color mixing and its homogeneity, capturing nuanced biological associations.
  • PMC demonstrates reduced sensitivity to signal-to-noise ratio, intensity threshold, and background.
  • The method allows for pixel-level visualization of color mixing, enhancing data interpretation.

Conclusions:

  • The Phasor Mixing Coefficient (PMC) offers a nuanced and robust metric for quantifying biomolecular association.
  • PMC presents a significant advancement over traditional colocalization techniques in terms of accuracy and reliability.
  • This method enhances the ability to study spatial relationships and potential interactions of biomolecules in cellular environments.