Difference between revisions of "Overview"
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Data: concentrations at times $0, 1, \ldots 15$, from 6 patients who received each 100 mg at time $t=0$ (bolus intravenous): | Data: concentrations at times $0, 1, \ldots 15$, from 6 patients who received each 100 mg at time $t=0$ (bolus intravenous): | ||
| − | [[Image:Intro1.png|center|thumb| | + | [[Image:Intro1.png|center|thumb|400px]] |
Revision as of 17:49, 25 January 2013
Data: concentrations at times $0, 1, \ldots 15$, from 6 patients who received each 100 mg at time $t=0$ (bolus intravenous):
File:Intro1.png
400px
Goal of modelling: describe the variability of the data (structural, intra $\&$ inter variabilities) using a statistical model.
Classical individual approach: derive a model for a unique individual:
\href{intro2}{More details} %\href{run:/individualModel.pdf}{More details}
\begin{itemize} * Predicted concentration at time '"`UNIQ-MathJax4-QINU`"': \begin{equation} f(t ; V,k) = \frac{D}{V} \ e^{-k \, t} \end{equation}
- Observed concentration at time $t_j$, $j=1, 2, \ldots, 15$:
\begin{equation} y_j = f(t_j ; V,k) + \varepsilon_j \end{equation}
Observed concentrations from individual 1 and predicted concentration profile obtained with $V=10.5$ and $k=0.279$:
