1988
DOI: 10.1007/bf03189934
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Gamma variate fits to pharmacokinetic data

Abstract: The gamma variate, C = Ataexp(-bt), was tested, as a fitting function, with various real and error-free simulated intravascular and extravascular pharmacokinetic data sets and the results compared with polyexponential fits. For extravascular data, the gamma variate is only suitable to globally fit data which might otherwise be described biexponentially. For intravascular data, the gamma variate could only fit a limited range of the possible concentration-time profiles. Gamma variate fitting algorithms must min… Show more

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Cited by 2 publications
(3 citation statements)
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“…Pharmacokinetic data and fits with a gamma variate model [ 24 , 30 ] (online methods and Supplementary Fig. S2 ) are shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Pharmacokinetic data and fits with a gamma variate model [ 24 , 30 ] (online methods and Supplementary Fig. S2 ) are shown in Fig.…”
Section: Resultsmentioning
confidence: 99%
“…Aptamer concentration data ( C ) as a function of time after injection ( t ) were plotted and then fit [ 23 ] with equation 2 reflecting the sum of two gamma variates [ 24 ]: \documentclass{aastex}\usepackage{amsbsy}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{bm}\usepackage{mathrsfs}\usepackage{pifont}\usepackage{stmaryrd}\usepackage{textcomp}\usepackage{portland, xspace}\usepackage{amsmath, amsxtra}\pagestyle{empty}\DeclareMathSizes{10}{9}{7}{6}\begin{document} \begin{align*} C (t) = k_ {1} \left(\frac {{\rm ln} 2} {b_ {1}} t \right) ^ \frac {{\rm ln} \ 2} {a_ {1}} e^ {- \frac {{\rm ln} \ 2} {b_ {1}} t} + k_ {2} \left( \frac {{\rm ln} 2} {b_ {2}} t \right) ^ \frac {{\rm ln} \ 2} {a_ {2}} e^ {- \frac {{\rm ln} \ 2} {b_ {2}} t} \tag {2} \end{align*} \end{document} …”
Section: Methodsmentioning
confidence: 99%
“…Diffusion is limited because molecules are not able to move in all directions. This model can be used to interpret the pharmacokinetics of calcium [132] or the transport and dispersion of tracers in the circulatory system [133] and provides theoretical justification for the above-mentioned empirical potency and gamma functions [114,[134][135][136].…”
Section: Fractal Modelsmentioning
confidence: 99%