In this simulation, when the rate of increase in the population density of β-cells, represented by \documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$\:{\text{w}}_{15}$$\end{document} in Eq. (1), decreases, the pancreas is unable to secrete sufficient insulin to regulate glucose levels, leading to a disruption in the insulin-glucose regulatory system—characteristic of type 1 diabetes. The gene discussed is INS; the disease is type 1 diabetes mellitus.