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In this paper we used Weighted Exponential distribution (WE) using the exponentiated class family of distributions. The proposed model named as Exponentiated Weighted Exponential distribution and it serves as an alternative to both the Weighted Exponential distribution and the Exponential distribution The exact role of ghrelin in the control of growth hormone (GH) secretion has not been completely clarified as yet. Eighteen prepubertal children with short stature were included in the study. Using theresults of two GH-provocative tests (glucagon and clonidine), theparticipants were divided into two groups: GHD and NGH. In both groups, ghrelin levels were determined during the clonidine stimulation test .Different responses regarding ghrelin levels during the clonidine stimulation test were observed in the two study groups (GHD and NGH). A decrease in ghrelin levels was observed in the NGH children accompanied by a rise in the circulating GH levels, whereas the GHD children demonstrated a rise in both ghrelin and GH levels.

Mathematical Model for During Ghrelin and Growth Hormone Serum Levels in Children