B1504
Title: D-optimal and quasi-optimal design for the monomer and dimer in the Adair model
Authors: Maria de las Mercedes Rodriguez Hernandez - Universidad de Castilla la Mancha (UCLM) (Spain) [presenting]
Jesus Lopez-Fidalgo - University of Navarra (Spain)
Abstract: The Adair equation is used to model biological macro-molecule reactions. In this equation the saturation rate is modeled through the free ligand concentration. This is not a variable under the control of the experimenter. As a matter of fact the ligand is a random variable depending on an initial ligand added by the experimenter. This is what can be designed, but the dependence of the saturation rate on the initial ligand has not been considered in the literature. We extended a model based on the Adair model of first order will be derived in order to obtain a proper model fitting an optimal designs for that. Optimal designs will be computed as well as seven point quasi-optimal designs forced to follow a harmonic, geometric or uniform progression. The parameters are estimated and compared for simulated data from these designs. A sensitivity analysis against the choice of the parameters is performed for the modfied Adairmodel. Finally and based on the good eficiencies obtained for the designs for the original first order model designs are obtained numerically for the second order model.
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