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Related Concept Videos

Uncertainty in Measurement: Accuracy and Precision03:37

Uncertainty in Measurement: Accuracy and Precision

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Uncertainty: Overview00:59

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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Propagation of Uncertainty from Random Error00:59

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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Propagation of Uncertainty from Systematic Error01:10

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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Drug disposition in the body is a complex process and can be studied using two major approaches: the model and the model-independent approaches.
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One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

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This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
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Related Experiment Video

Updated: May 5, 2026

Ex Vivo Red Blood Cell Hemolysis Assay for the Evaluation of pH-responsive Endosomolytic Agents for Cytosolic Delivery of Biomacromolecular Drugs
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Toward Uncertainty-Aware Hemolysis Modeling: A Universal Approach to Address Experimental Variance.

Christopher Blum1, Ulrich Steinseifer1, Michael Neidlin1

  • 1Department of Cardiovascular Engineering, Institute of Applied Medical Engineering, Medical Faculty, RWTH Aachen University, Aachen, Germany.

International Journal for Numerical Methods in Biomedical Engineering
|May 14, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a probabilistic hemolysis model using Markov Chain Monte Carlo (MCMC) to quantify experimental variability in medical device evaluations. The new model enhances predictive accuracy and robustness compared to deterministic approaches.

Keywords:
Markov chain Monte Carlohemolysis modelingin silicouncertainty quantification hemolysis

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Area of Science:

  • Biomedical Engineering
  • Computational Fluid Dynamics
  • Medical Device Design

Background:

  • Numerical hemolysis models are crucial for evaluating blood damage in medical devices.
  • Existing models often lack robust uncertainty quantification, limiting their predictive accuracy.
  • Experimental data variability presents a significant challenge in model development.

Purpose of the Study:

  • To develop a probabilistic hemolysis model incorporating experimental variability.
  • To enhance the predictive accuracy and robustness of hemolysis predictions.
  • To address the limitations of deterministic models in capturing experimental uncertainty.

Main Methods:

  • Applied a grid search to analyze the objective function landscape of a Power Law hemolysis model.
  • Utilized Markov Chain Monte Carlo (MCMC) to derive stochastic distributions for model parameters (C, α, β).
  • Propagated parameter distributions through a reduced-order model of the FDA benchmark pump.

Main Results:

  • Identified a global flat minimum in the objective function landscape, indicating mathematical fitting limitations.
  • Converged to optimal parameters: C = 3.515 × 10⁻⁵, with log-normal distributions for α (mean 0.614) and β (mean 1.795).
  • The probabilistic model successfully captured both mean and variance in experimental FDA benchmark pump data.

Conclusions:

  • Uncertainty quantification via MCMC significantly improves hemolysis model robustness and predictive power.
  • The probabilistic model offers better comparison between simulated and in vitro hemolysis experiments.
  • This approach has the potential to set a new standard for hemolysis modeling in medical device evaluations.