山东大学：《药物动力学》课程教学资源（PPT课件）第十二章 统计矩原理在药物动力学中的应用（主讲：张娜）

K阶原点矩 设随机变量的概率密度函数为f(t)(-∞0<t+∞) 则积分μ称为的阶矩原点矩(k=1,2,3等 k阶矩原点矩μ是指的理论平均值。 若t为连续型变量,概率密度函数为f(t),则原点 矩为: +∞ uk=lo tf(tdt(12-1

K阶原点矩 • 设随机变量t的概率密度函数为f（t）( -∞＜t +∞) ， 则积分μk称为t的k阶矩原点矩（k＝1，2，3等） • k阶矩原点矩μk是指tk的理论平均值。 • 若t为连续型变量，概率密度函数为f（t），则原点 矩为： 12-1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0 + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0 + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )

阶原点矩 当k=1,μ为一阶原点矩,通常称为数学期望值。 是刻划随机变量取值的平均水平或中心位置的特 征值,即: t f(tdt 12-2

 + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 0  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 1  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k   ( ) + − = x f x dx k k ( ) dt  + − = x f x dx k k ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k   ( ) + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t k  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) t  + − = x f x dx k k  ( )  + − = x f x dx k k  ( ) dt  + − = x f x dx k k  ( ) 一阶原点矩 当k＝1， μ1为一阶原点矩，通常称为数学期望值。 是刻划随机变量t取值的平均水平或中心位置的特 征值，即： 12-2

(-)零阶矩 设在时间t,血药浓度为C,则血药浓度-时间曲 线下的总面积为AUCo。 定义AUC为药时曲线的零阶矩,则 +∞O AUC= Cdt(12-3

 + = 0 AUC Cdt (一) 零阶矩 设在时间t，血药浓度为C，则血药浓度－时间曲 线下的总面积为AUC 0→∞ 。 定义AUC为药时曲线的零阶矩，则 12-3

零阶矩 由于受仪器检测灵敏度限制,血药浓度只能测定到时 间t时,此时血药浓度记为Cn 时间t到的药时曲线下面积由外推公式S十算, 则AUC为 AuC= Ca 124 λ为C→堆作图得末端指数相的斜率与2.303的乘积

(一) 零阶矩 由于受仪器检测灵敏度限制，血药浓度只能测定到时 间tn时，此时血药浓度记为Cn； 时间tn到t∞的药时曲线下面积由外推公式 计算, 则AUC为： 12-4 λ为lgC→t作图得末端指数相的斜率与2.303的乘积  n i i n i i i C S AUC −t + + = = − =  (t ) 2 C C 1 0 -1 0  n i i n i i i C S AUC −t + + = = − =  (t ) 2 C C 1 0 -1 0  + = 0 AUC Cdt  + = 0 AUC Cdt + C k C* k  + = 0 AUC Cdt C k C* k n i i n i i i C S AUC −t + + = = − =  (t ) 2 C C 1 0 -1 0  + = 0 AUC Cdt  + = 0 AUC Cdt + C k C* k  + = 0 AUC Cdt C k C* k n i i n i i i C S AUC −t + + = = − =  (t ) 2 C C 1 0 -1 0  n i i n i i i C S AUC −t + + = = − =  (t ) 2 C C 1 0 -1 0

截距 血药浓度 IgC 末端直线的延长线 2.303 303 图单室模型血管外给药后的 血药浓度、残数浓度曲线图

Po. 图 末端直线的延长线 截距