A Mathematical Model for the Activation of the Hypothalamic – Pituitary – Adrenal Axis in Generalized Anxiety and Panic by Plasma Cortisol and Prolactin Levels using Four Parameters Transmuted Additive Weibull Distribution

The Weibull distribution has been used in many different fields with many applications. Researchers have been developing various extensions and modified forms of the Weibull distribution, with different number of parameters. In this paper the Transmuted Additive Weibull distribution is used to find out the hazard rate function for the activation of the hypothalamic – pituitary – adrenal axis in generalized anxiety and panic by the plasma cortisol and prolactin. The medical part focuses on the differential activation of the hypothalamic – pituitary – adrenal (HPA) axis in generalized anxiety and panic. In this paper, the idea of finite state continuous time markov chain is also used to find out the internal states between the states P (before the speech performance) and F (end of the speech) for the Simulated Public Speaking (SPS) test of the medical part. The hazard rate functions for these two internal states are also find out and compared with the whole time practical session.