[Zurück]

M. Kozek, N. Jovanovic:
"Parameter-Linear Modeling of Non-Linear Pharmacodynamics";
Vortrag: 3rd Conference on Modeling and Simulation in Biology, Medicine and Biomedical Engineering, Balamand, Lebanon; 28.05.2003 - 30.05.2003; in: "Proceedings of the 3rd Conference on Modeling and Simulation in Biology, Medicine and Biomedical Engineering", (2003), 6 S.

Pharmacodynamics are often modeled by a sigmoid dose-response
curve which in turn is described by the Hill-equation. Although
this equation uses only two non-linear parameters, for the purpose
of parameter estimation a parameter-linear model is desirable to
ensure convergence and global optimality. In this work several
realizations of non-linear, mixed, and purely linear models are
discussed, and a simple and versatile piece-wise linear static map
is proposed as a good compromise between computational effort of
parameter estimation and prediction accuracy. Without using
algebraic constraints this linear description is tailored to fit
sigmoid dose-response curves and the performance is compared to
nonlinear or mixed methods.