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Related Concept Videos

Sound Waves: Interference00:53

Sound Waves: Interference

Sound waves can be modeled either as longitudinal waves, wherein the molecules of the medium oscillate around an equilibrium position, or as pressure waves. When two identical waves from the same source superimpose on each other, the combination of two crests or two troughs results in amplitude reinforcement known as constructive interference. If two identical waves, that are initially in phase, become out of phase because of different path lengths, the combination of crests with troughs...
Effective Value of a Periodic Waveform01:07

Effective Value of a Periodic Waveform

The concept of effective value, the root mean square (RMS) value, is crucial in understanding electrical circuits and power delivery. This idea emerges from the necessity to measure the effectiveness of a voltage or current source in supplying power to a resistive load.
The effective value of a periodic current represents the direct current (DC) that conveys the same average power to a resistor as the periodic current itself. This concept is crucial when assessing AC circuits. To determine the...
Lossy Lines and Overvoltages01:22

Lossy Lines and Overvoltages

Transmission-line series resistance and shunt conductance cause three primary effects: attenuation, distortion, and power losses.
Attenuation
When constant series resistance and shunt conductance are present, voltage and current equations are modified. The propagation constant indicates that voltage and current waves consist of both forward and backward traveling components. These waves attenuate as they propagate, with the attenuation factor related to the resistance and conductance. In a...
Entropy01:18

Entropy

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.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
Entropy02:39

Entropy

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...
Energy Losses in Transformers01:21

Energy Losses in Transformers

In an ideal transformer, it is assumed that there are no energy losses, and, hence, all the power at the primary winding is transferred to the secondary winding. However, in reality,  the transformers always have some energy losses, and, hence, the output power obtained at the secondary winding is less than the input power at the primary winding due to energy losses.
There are four main reasons for energy losses in transformers.
The first cause can be  the high resistance of the copper windings...

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Related Experiment Video

Updated: Jun 14, 2026

Troubleshooting and Quality Assurance in Hyperpolarized Xenon Magnetic Resonance Imaging: Tools for High-Quality Image Acquisition
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Troubleshooting and Quality Assurance in Hyperpolarized Xenon Magnetic Resonance Imaging: Tools for High-Quality Image Acquisition

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Not all noise is waste.

Vito Quaranta1, Shawn P Garbett

  • 1Integrative Cancer Biology Program Center for Cancer Systems Biology, Vanderbilt University School of Medicine, Nashville, Tennessee, USA.

Nature Methods
|April 1, 2010
PubMed
Summary
This summary is machine-generated.

Stochastic profiling, a method for ranking gene expression heterogeneity, has matured. Quantifying cell-to-cell variability now provides significant biological insights.

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Area of Science:

  • Genomics
  • Molecular Biology
  • Systems Biology

Background:

  • Gene expression analysis traditionally focused on average levels within cell populations.
  • Cell-to-cell variability, or heterogeneity, has emerged as a critical factor in biological processes.
  • Stochastic profiling offers a quantitative framework to assess this heterogeneity.

Discussion:

  • Stochastic profiling enables the ranking of gene expression heterogeneity across individual cells.
  • This method moves beyond average expression to capture the dynamic range of cellular states.
  • Understanding variability is crucial for deciphering complex biological systems and responses.

Key Insights:

  • Quantifying cell-to-cell gene expression variability has reached a level of sophistication enabling biological discovery.
  • Stochastic profiling provides a robust method for characterizing and comparing heterogeneity in different cell populations.
  • The ability to rank heterogeneity offers new avenues for identifying distinct cell subpopulations or states.

Outlook:

  • Future applications may involve using stochastic profiling to predict cellular responses to stimuli or treatments.
  • This approach can refine our understanding of developmental processes and disease progression.
  • Further development of stochastic profiling promises to unlock deeper biological insights from single-cell data.