Mathematical model of gamma family on cortisol associated with chronic back pain

One of the most important way to get a new probability distribution in applied probability is the mixture distribution. Because of this reason, we get a new mixed distribution namely MGG distribution and it is obtained by mixing GG and LGG. The MGG distribution is useful of modelling bathtub-shaped hazard rate, and also it includes some special sub-models of gamma and exponential family. In application part, the hormonal level of Cortisol due to chronic back pain is discussed. It has been identified that maladaptive physiological responses of the organism with a recurrent stressor maintain the chronic pain. The associations between basal levels of Cortisol collected over seven successive days, the hippocampal volumes & brain activation to thermal stimulations is also examined by administering in 16 patients with chronic back pain (CBP) and 18 healthy control subjects. Finally, it is found that patients with CBP have higher levels of Cortisol than control subjects.