示踪剂数据的解读
Interpretation of tracer data.
作者信息
Hearon J Z
出版信息
Biophys J. 1969 Nov;9(11):1363-70. doi: 10.1016/S0006-3495(69)86458-1.
The necessary and sufficient conditions for a particular compartment in an n-compartment system, under certain initial conditions, to be described by two exponential terms have been given by Mann and Gurpide (1969). These conditions are here derived in matrix-vector form, by an essentially algebraic process, under more general initial conditions. The existence of a certain constant is required by the Mann-Gurpide conditions. It is shown that that constant must be one of the real roots of a given matrix. Under certain restrictions, that constant is the unique largest real root of that matrix. Certain obvious sufficient conditions for the Mann-Gurpide conditions to hold are shown to be necessary in the case of symmetrizable systems.
曼恩和古尔皮德（1969年）给出了在特定初始条件下，n房室系统中某一特定房室由两个指数项描述的充要条件。本文在更一般的初始条件下，通过一个基本的代数过程，以矩阵 - 向量形式推导了这些条件。曼恩 - 古尔皮德条件要求存在某个常数。结果表明，该常数必定是给定矩阵的实根之一。在某些限制条件下，该常数是该矩阵唯一的最大实根。对于可对称化系统，证明了曼恩 - 古尔皮德条件成立的某些明显充分条件是必要的。
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