Evidence map›Paper›PMID 41947976›Full record

ArticleAnalytical science advances2026

Beyond Beer-Lambert Linear Regression: Multi-Layer Modeling for Wide-Range Concentration Quantification Using Ultraviolet-visible Spectroscopy.

Muhammed ALjifri, Carter Miller, Yanjun Qian, Ye Chen, Mo Jiang

Abstract read
In one paragraph

Article in Analytical science advances, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

0numbers the graph read from it
0cells of the map it votes in
0citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

0 citing papers in PubMed.

No citing paper in PubMed yet.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Muhammed ALjifriDepartment of Mathematics, College of Science & Arts King Abdulaziz University Rabigh Saudi Arabia.
Carter MillerDepartment of Chemical & Life Science Engineering Virginia Commonwealth University Richmond Virginia USA.
Yanjun QianDepartment of Statistical Sciences and Operations Research Virginia Commonwealth University Richmond Virginia USA.ORCID https://orcid.org/0000-0002-1581-0431
Ye ChenSchmidthorst College of Business Bowling Green State University Bowling Green Ohio USA.
Mo JiangDepartment of Chemical & Life Science Engineering Virginia Commonwealth University Richmond Virginia USA.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Ultraviolet-visible (UV-Vis) spectroscopy is widely used for chemical quantification due to its simplicity and low cost; however, accurate concentration prediction becomes challenging when target concentrations span wide ranges, where the global linearity assumption of the Beer-Lambert law often breaks down. To address this limitation, we propose a multi-layer modeling framework that exploits local linearity rather than relying on a single global model. Two approaches, dynamical-layer regression and classified-layer regression, are both integrated with principal component regression and partial least squares. The framework is evaluated using UV-Vis spectra of nickel sulfate and cobalt sulfate solutions across concentrations ranging from 10

Indexed as

chemometricsglobal nonlinearitylocal modelmetal ion detectionpartial least squares

Identifiers

PMID41947976
PMCPMC13052029

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.