STOCHASTIC MODEL TO FIND THE ADRENOCORTICOTROPIC HORMONE ON CORTISOL AND DHEA'S PRODUCTION THROUGH HAMILTON JACOBI BELLMANN EQUATIONS USING NORMAL DISTRIBUTION

The adrenal glands are the primary source of minerocorticoids, glucocorticoids, and the so called adrenal androgens. Under physiological conditions, cortisol and adrenal androgen synthesis are controlled primarily by ACTH. Although it has been established that ACTH can stimulate steroidogenesis, the effects of ACTH on overall gene expression in human adrenal cells have not been established. In this paper, we estimate the Adrenocorticotropic Hormone on cortisol and Dehydroepiandrosterone Sulfate (DHEA’s) production through Hamilton Jacobi-Bellmann equation using stochastic analysis