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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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The rate theory of chromatography provides quantitative insight into the shapes and widths of elution bands. These bands are based on the random-walk mechanism governing molecular migration within a column. The Gaussian profile of chromatographic bands arises from the cumulative effect of random molecular motions as they progress through the column.
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An experimental design is a systematic process that allows researchers to evaluate the relationship between dependent and independent variables. There are three widely used types of experimental design - pre-experimental design, true experimental design, and quasi-experimental design. In pre-experimental design, the researcher compares the data before and after some interventions or treatments. The true-experimental design has more than one purposefully created group, a commonly measured...
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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
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Related Experiment Video

Updated: May 25, 2025

A Machine Learning Approach to Design an Efficient Selective Screening of Mild Cognitive Impairment
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Correction for "Reformulating Reactivity Design for Data-Efficient Machine Learning".

Toby Lewis-Atwell, Daniel Beechey, Özgür Şimşek

    ACS Catalysis
    |February 27, 2025
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    Summary

    This study corrects a previously published article DOI. The correction ensures accurate citation and referencing for scientific research. This maintains the integrity of the scientific record.

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    Area of Science:

    • Scientific Publishing
    • Scholarly Communication
    • Research Integrity

    Context:

    • Correction of a previously assigned Digital Object Identifier (DOI).
    • Ensuring accurate referencing for scientific literature.
    • Maintaining the integrity of the scientific record.

    Purpose:

    • To provide the correct DOI for the article.
    • To facilitate proper citation and retrieval of the research.
    • To uphold standards in academic publishing.

    Summary:

    • The article DOI: 10.1021/acscatal.3c02513 has been corrected.
    • This ensures users can accurately access and cite the intended publication.
    • This correction is vital for maintaining the traceability of scientific work.

    Impact:

    • Improved accuracy in scientific literature databases.
    • Enhanced discoverability of the corrected article.
    • Reinforcement of reliable scholarly communication practices.