酶促反应动力学中抑制剂类型的判断方法  

Application of Mathematica in Enzyme Kinetics

作　　者：张海龙[1] 高东红[2] 

机构地区：[1]北京大学医学部临床2001-3班,北京100083 [2]北京大学医学部生物数学与生物统计教研室,北京100083

出　　处：《数学的实践与认识》2004年第4期90-94,共5页Mathematics in Practice and Theory

摘　　要：酶促反应动力学是研究酶的动力学性质的学科 ,是生物化学的重要内容 .本文拟通过使用 Mathe-matica软件对以碱性磷酸酶为催化剂 ,在一定初始反应物浓度条件下 ,不同时间及其对应的底物浓度进行线性回归 ,直线斜率即近似为初始时反应速率值 .以米氏方程为模型对多组初始底物浓度及其对应的反应速率组成的有序数组进行非线性回归 ,即得到碱性磷酸酶的 Vmax(最大反应速率 ,单位 mmol/( s· l) )与 Km(米氏常数 ,单位 mol/l)值 ,并推断出 KH2 PO4 对碱性磷酸酶的抑制作用类型 .这一方法改变传统的曲线直线化的处理过程 ,提高了实验结果的精度 .Enzyme kinetics is a subject studying the kinetical property of enzyme in Biochemical reaction, which is an important part of Biochemistry. In this paper we would discuss a case that given the catalyst of alkaline and a certain concentration of reactor, we regress the time and the concentration of production. The slope of the regressive line is the reactoin speed. Repeat the course above. We get several numeric groups of concentration of reactor and reaction speed. We make a non-linear regression of the groups above with a model of Michaelis equation and get the value of Km and V max of alkaline with Mathematica software. Also we can conclude the type of inhibition action of KH 2PO 4 to alkaline with this method. It transforms the traditional course and make the result more precise.

关 键 词：酶促反应动力学 生物化学 抑制剂 非线性拟合 MATHEMATICA软件 线性回归 

分 类 号：R341[医药卫生—基础医学]