Matlab Surface Fitting With Custom Equations to Biopharmaceutical Data

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This example shows how to use Curve Fitting Toolbox to fit response surfaces to some anesthesia data to analyze drug interaction effects. Response surface models provide a good method for understanding the pharmacodynamic interaction behavior of drug combinations.

This data is based on the results in this paper: Kern SE, Xie G, White JL, Egan TD. Opioid-hypnotic synergy: A response surface analysis of propofol-remifentanil pharmacodynamic interaction in volunteers. Anesthesiology 2004; 100: 1373-81.

Anesthesia is typically at least a two-drug process, consisting of an opioid and a sedative hypnotic. This example uses Propofol and Reminfentanil as drug class prototypes. Their interaction is measured by four different measures of the analgesic and sedative response to the drug combination. Algometry, Tetany, Sedation, and Laryingoscopy comprise the four measures of surrogate drug effects at various concentration combinations of Propofol and Reminfentanil.

This model uses Matlab Curve Fitting Toolbox scripting methods to reproduce the interactive surface building with the Curve Fitting Tool described in "Biopharmaceutical Drug Interaction Surface Fitting".

Software Used

Matlab

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MATLAB (matrix laboratory) is a multi-paradigm programming numerical computing environment and fourth-generation programming language. A proprietary programming language developed by MathWorks, MATLAB allows matrix manipulations, plotting of function and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C , C++, C Sharp, Java, Fortran and Python.


Using Matlab on Kogence

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Results

Here is surface plot of the surface fit for Algometry

JobT63-Figure1.png

Lets create a response surface for tetany.

JobT63-Figure2.png

Now, fit a Surface to Sedation:

JobT63-Figure3.png

Here is the surface fit to Laryingoscopy:

JobT63-Figure4.png



Model New Results

JobT63-Figure3.png JobT63-Figure1.png JobT63-Figure4.png JobT63-Figure2.png