胰岛素曲线的数学建模是胰岛素曲线应用于临床的关键环节 ,它对于糖尿病的治疗、胰岛素泵的研制等都具有及其重要的意义 ,同时对于揭示人体胰岛素分泌的内在规律也具有非常重要的意义。然而长期以来 ,人们对胰岛素曲线的认识只是停留在经验曲线图形上 ,没有对其进行数学上的分析和量化的计算 ,因而人们对胰岛素曲线的应用 ,还停留在起步阶段。胰岛素曲线的基础量部分是直线 (各个时段基础量有差异 ,严格来说是分段直线 ) ;胰岛素曲线的大剂量 (有的文献称为餐前量 )部分是一段复杂的曲线。笔者为研制胰岛素泵 ,对胰岛素曲线进行了深入研究 ,提出了大剂量胰岛素曲线的三种数学模型 (分别称为正态分布法、梯形法和抛物线法 ) ,并求出其对应的数学函数表达式 ,并对这些模型函数进行了详细的分析和计算 ,取得其主要参数计算公式 ,从而使胰岛素曲线进入了数字量化的研究阶段 ,为胰岛素曲线在糖尿病的临床治疗和医学研究 (包括胰岛素泵的研制 )中的应用奠定了坚实的基础。本文介绍其中的梯形法 The mathematical modeling of insulin curve is the key point in the clinical application of insulin curve. It has important significance for the treatment of diabetes and the development of insulin pump, and is also of great significance for revealing the intrinsic rules of human insulin secretion . However, for a long time, people’s understanding of insulin curve only stays on the curve of the experience curve, and it has not been calculated mathematically and quantified. Therefore, the application of insulin curve remains at the initial stage. The basic part of the insulin curve is a straight line (the basis of the amount of each period is different, strictly speaking segmented straight line); insulin dose of large doses (some literature called pre-meal volume) is a complex curve. In order to develop insulin pump, the author studied insulin curve in depth and proposed three mathematical models of high-dose insulin curve (called normal distribution method, trapezoidal method and parabola method respectively) and obtained the corresponding mathematical function expression The model functions are analyzed and calculated in detail, and the formulas for calculating their main parameters are obtained. As a result, the insulin curve enters into the research stage of digital quantification, and provides a theoretical basis for the clinical treatment of insulin in diabetes and medical research (including insulin pump Development) in the application laid a solid foundation. This article describes one of the trapezoidal methods