Mathematical Model for the Effect of Ghrelinon basal,GNRH Induced FSH and LH Secretion in Normal Women by using four Variate Weibull Distribution

In this paper, we introduce probability density function of four variate Weibull distributions. A multivariate survival function of Weibull Distribution is used for four variables. From the survival function, the probability density function and cumulative probability function are derived. Ghrelin may affect reproductive function in animals and humans.In the application part the experimental conditions of an acute injection of ghrelin (1g/kg) to normal women, basal and GnRH-induced LH and FSH secretion were not affected and suggested that ghrelin does not play a major physiological role in gonadotrophin secretion in women.In the mathematical part, we have found that the Survival function of the curveis suddenly decreased in Mid-luteal phase compare with other phases. Pdf of the curve is suppressed in late follicular phase and it will be increased at the time of7min.Pdf for early follicular phase of control cycleis increased from 4 min .Also Pdf curve for early follicular phase with ghrelin administration and mid-luteal phase with ghrelin and GnRH are also increased at the time of 5 and 3 minutes respectively.