The glucose-insulin-incretin model for bariatric surgery and T2DM improvement mechanisms with two delays

Abstract

In 2012 Toghaw et al. introduced a mathematical model of the glucose-insulin-incretins system to investigate plausible hypotheses to explain the rapid, weight-independent glycemic effects of bariatric surgery by comparing the pre-surgery simulated time series with those under various hypotheses, namely the lower intestinal hypothesis, the upper intestinal, and the ghrelin hypothesis. The model system has been reduced to a system of 9 differential equations by excluding the plasma ghrelin concentration factor following the discovery made in the work of Toghaw et al. in 2012. In the present work, we modify the model system in order to incorporate two time-delays. The model system was analyzed to investigate the effect of delays on the complex dynamic behavior of the system. In addition, the simulations under the three hypotheses will be compared.