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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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The motion of molecules in a gas is random in magnitude and direction for individual molecules, but a gas of many molecules has a predictable distribution of molecular speeds. This predictable distribution of molecular speeds is known as the Maxwell-Boltzmann distribution. The distribution of molecular speeds in liquids is comparable to that of gases but not identical and can help to understand the phenomenon of the boiling and vapor pressure of a liquid. Consider that a molecule requires a...
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Updated: Feb 17, 2026

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Quantifying uncertainty in RNA velocity.

Huizi Zhang1, Natalia Bochkina1, Sara Wade1

  • 1School of Mathematics and Maxwell Institute for Mathematical Sciences,University of Edinburgh, Peter Guthrie Tait Rd, Kings Buildings, Edinburgh EH9 3FD, United Kingdom.

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Summary
This summary is machine-generated.

This study introduces a novel Bayesian model for RNA velocity estimation from single-cell RNA sequencing data. The method provides accurate uncertainty quantification and interpretable results, advancing dynamic biological insights.

Keywords:
Markov chain Monte Carlocell dynamicscredible intervallatent timesingle-cell RNA sequencing

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Area of Science:

  • Computational Biology
  • Genomics
  • Systems Biology

Background:

  • Single-cell RNA sequencing (scRNA-seq) enables dynamic analysis via RNA velocity.
  • Existing RNA velocity methods often lack uncertainty quantification and rely on complex, uninterpretable models.
  • Unrealistic assumptions in current models limit their biological applicability.

Purpose of the Study:

  • To develop a Bayesian hierarchical model for RNA velocity estimation with improved interpretability and uncertainty quantification.
  • To address limitations of existing methods, including unrealistic assumptions and lack of uncertainty estimation.
  • To provide a robust framework for inferring dynamic information from scRNA-seq data.

Main Methods:

  • A Bayesian hierarchical model incorporating time-dependent transcription rates and non-trivial initial conditions.
  • Discussion of model parameter identifiability, including latent time.
  • A novel algorithm combining Markov chain Monte Carlo and consensus approaches for full Bayesian inference and uncertainty quantification.

Main Results:

  • The proposed Bayesian model provides well-calibrated uncertainty quantification for RNA velocity estimates.
  • Identifiability of model parameters, including larger latent time values, is addressed.
  • Validation through comprehensive simulations and comparison with existing RNA velocity methods on mouse embryonic stem cell data.

Conclusions:

  • The novel Bayesian approach offers reliable RNA velocity estimation with robust uncertainty quantification.
  • The method's interpretability and ability to handle complex biological scenarios are demonstrated.
  • Results align with cell cycle phases, highlighting the model's biological relevance for dynamic single-cell analysis.