标题： 胰腺细胞中胰高血糖素和胰岛素的产生采用Petri网和布尔网络建模 显示英文标题

标题： Glucagon and insulin production in pancreatic cells modeled using Petri nets and Boolean networks

摘要： 糖尿病是一种文明慢性病，特点是血液中持续升高的葡萄糖浓度。 涉及葡萄糖调节的许多过程及其相互作用非常复杂。 为了更好地理解这些过程，我们设定了创建整个人体葡萄糖调节的Petri网模型的目标。 迄今为止，我们已经成功建立了糖酵解和肝脏中葡萄糖合成的模型，以及健康和糖尿病患者葡萄糖调节的一般概览模型。 本文介绍了胰腺$\beta$细胞中胰岛素分泌和胰腺$\alpha$细胞中胰高血糖素分泌的Petri网模型。 这两种激素的作用互为相反：胰岛素防止高血糖，而胰高血糖素防止低血糖。 理解胰岛素和胰高血糖素分泌的机制构成了理解糖尿病的基础。 我们还提出了一种模型，在这种模型中两种过程同时发生，这取决于血液中的葡萄糖水平。 分析了每个模型的动力学。 此外，我们根据标准转换规则将整体胰岛素和胰高血糖素分泌系统转化为布尔网络。 显示英文摘要

摘要： Diabetes is a civilization chronic disease characterized by a constant elevated concentration of glucose in the blood. Many processes are involved in the glucose regulation, and their interactions are very complex. To better understand those processes we set ourselves a goal to create a Petri net model of the glucose regulation in the whole body. So far we have managed to create a model of glycolysis and synthesis of glucose in the liver, and the general overview models of the glucose regulation in a healthy and diabetic person. In this paper we introduce Petri nets models of insulin secretion in beta cell of the pancreas, and glucagon in the pancreas alpha cells. Those two hormones have mutually opposite effects: insulin preventing hyperglycemia, and glucagon preventing hypoglycemia. Understanding the mechanisms of insulin and glucagon secretion constitutes the basis for understanding diabetes. We also present a model in which both processes occur together, depending on the blood glucose level. The dynamics of each model is analysed. Additionally, we transform the overall insulin and glucagon secretion system to a Boolean network, following standard transformation rules.