ArticleJournal of pharmacokinetics and pharmacodynamics2010
Tikhonov adaptively regularized gamma variate fitting to assess plasma clearance of inert renal markers.
Article in Journal of pharmacokinetics and pharmacodynamics, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers, 1 of them a synthesis that pooled it.
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Who cites it
7 citing papers in PubMed, 1 synthesis or guideline pooled it.
- Comparison of the gamma-Pareto convolution with conventional methods of characterising metformin pharmacokinetics in dogs.Journal of pharmacokinetics and pharmacodynamics · 2020Pooled it
- A series acceleration algorithm for the gamma-Pareto (type I) convolution and related functions of interest for pharmacokinetics.Journal of pharmacokinetics and pharmacodynamics · 2022Article
- A gamma-distribution convolution model ofEJNMMI physics · 2016Article
- Time Varying Apparent Volume of Distribution and Drug Half-Lives Following Intravenous Bolus Injections.PloS one · 2016Article
- Accurate and precise plasma clearance measurement using four 99mTc-DTPA plasma samples over 4 h.Nuclear medicine communications · 2016Article
- The early plasma concentration of 51Cr-EDTA in patients with cirrhosis and ascites: a comparison of three models.Nuclear medicine communications · 2015Article
- Validation of Tikhonov adaptively regularized gamma variate fitting with 24-h plasma clearance in cirrhotic patients with ascites.European journal of nuclear medicine and molecular imaging · 2011Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The Tk-GV model fits Gamma Variates (GV) to data by Tikhonov regularization (Tk) with shrinkage constant, λ, chosen to minimize the relative error in plasma clearance, CL (ml/min). Using (169)Yb-DTPA and (99m)Tc-DTPA (n = 46, 8-9 samples, 5-240 min) bolus-dilution curves, results were obtained for fit methods: (1) Ordinary Least Squares (OLS) one and two exponential term (E₁ and E₂), (2) OLS-GV and (3) Tk-GV. Four tests examined the fit results for: (1) physicality of ranges of model parameters, (2) effects on parameter values when different data subsets are fit, (3) characterization of residuals, and (4) extrapolative error and agreement with published correction factors. Test 1 showed physical Tk-GV results, where OLS-GV fits sometimes-produced nonphysical CL. Test 2 showed the Tk-GV model produced good results with 4 or more samples drawn between 10 and 240 min. Test 3 showed that E₁ and E₂ failed goodness-of-fit testing whereas GV fits for t > 20 min were acceptably good. Test 4 showed CL(Tk-GV) clearance values agreed with published CL corrections with the general result that CL(E1) > CL(E2) > CL(Tk-GV) and finally that CL(Tk-GV) were considerably more robust, precise and accurate than CL(E2), and should replace the use of CL(E2) for these renal markers.
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