Estimation through experimental data of model parameters of the anterior pituitary LH response

Abstract

A mathematical model of the luteinizing hormone (LH) response of the anterior pituitary to the gonadotropin releasing hormone (GnRH) stimulation has been proposed by Yanev et al., 1989. The experimental data available are poor. Usually the output relation LH (GNRH) and only a few of the values of the model parameters are experimentally known while the values of the resting parameters are chosen in the course of computer simulations so that a satisfactory agreement between the experimental and the simulation LH outputs is obtained. Such an agreement is an indicator that the ratios between the simulation values are possibly properly chosen but it does not means categorically that their absolute simulation values are the proper ones. In this work it has been proved that once this agreement is attained and enough experimental values of the model parameters are known then the values of the resting model parameters can be calculated (scaled) making use of their simulation values. With the scaled values introduced in the model the agreement obtained between the model and the experimental LH output functions is reserved. The scaled values can be interpreted as estimations of the native values of the respective model parameters.