Evidence map›Paper›PMID 42420693›Full record

ArticleJournal of pharmacokinetics and pharmacodynamics2026

The evolution of nonlinear mixed effects modeling in pharmacometrics: toward AI-based variational autoencoders.

Jan Rohleff, Gilbert Koch, Johannes Schropp

Abstract read
In one paragraph

Article in Journal of pharmacokinetics and pharmacodynamics, 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

3 authors.

Jan RohleffDepartment of Mathematics and Statistics, University of Konstanz, Konstanz, Germany.ORCID http://orcid.org/0009-0003-8472-4320
Gilbert KochPediatric Pharmacology and Pharmacometrics, University Children's Hospital Basel (UKBB), University of Basel, Basel, Switzerland.ORCID http://orcid.org/0000-0002-9386-0506
Johannes SchroppDepartment of Mathematics and Statistics, University of Konstanz, Konstanz, Germany. johannes.schropp@uni-konstanz.de.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The evolution of nonlinear mixed effects (NLME) modeling reflects a continuous cycle of innovation based on advances in numerical methods and computational power. This commentary outlines the evolution of NLME modeling that began with linearization-based approaches in the 1980s, progressed through sampling-based methods in the 2000s, and is now entering a new phase shaped by AI. Variational autoencoders bridge classical NLME modeling with AI-based methods allowing the development and application of AI-augmented PMX models. This opens the route for integrating multimodal data and addressing increasingly complex modeling challenges.

Indexed as

Artificial IntelligenceNonlinear DynamicsAutoencoderHumansArtificial IntelligenceFirst-Order Conditional EstimationMachine LearningNonlinear Mixed Effects ModelingStochastic Approximation Expectation MaximizationVariational Autoencoder

Identifiers

PMID42420693
PMCPMC13346202

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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.