ArticleCPT: pharmacometrics & systems pharmacology2016
Understanding the Behavior of Systems Pharmacology Models Using Mathematical Analysis of Differential Equations: Prolactin Modeling as a Case Study.
Article in CPT: pharmacometrics & systems pharmacology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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.
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.
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Who cites it
8 citing papers in PubMed.
- Importance of Stability Analysis When Using Nonlinear Semimechanistic Models to Describe Drug-Induced Hematotoxicity.CPT: pharmacometrics & systems pharmacology · 2020Article
- Estimating parameters of nonlinear dynamic systems in pharmacology using chaos synchronization and grid search.Journal of pharmacokinetics and pharmacodynamics · 2019Article
- Asymptotic analysis of a TMDD model: when a reaction contributes to the destruction of its product.Journal of mathematical biology · 2018Article
- Impact of mathematical pharmacology on practice and theory: four case studies.Journal of pharmacokinetics and pharmacodynamics · 2018Article
- Modeling of prolactin response following dopamine DPharmacology research & perspectives · 2017Article
- Frequency-Domain Response Analysis for Quantitative Systems Pharmacology Models.CPT: pharmacometrics & systems pharmacology · 2017Article
- Impact of saturable distribution in compartmental PK models: dynamics and practical use.Journal of pharmacokinetics and pharmacodynamics · 2017Article
- Revealing the Neuroendocrine Response After Remoxipride Treatment Using Multi-Biomarker Discovery and Quantifying It by PK/PD Modeling.The AAPS journal · 2017Article
Corrections and comments
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this tutorial, we introduce basic concepts in dynamical systems analysis, such as phase-planes, stability, and bifurcation theory, useful for dissecting the behavior of complex and nonlinear models. A precursor-pool model with positive feedback is used to demonstrate the power of mathematical analysis. This model is nonlinear and exhibits multiple steady states, the stability of which is analyzed. The analysis offers insight into model behavior and suggests useful parameter regions, which simulations alone could not.
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Registered trials
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.