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描述 N 房室乳头状模型解的指数项数量:消失的指数项。

Number of exponential terms describing the solution of an N-compartmental mammillary model: vanishing exponentials.

作者信息

Vaughan D P, Dennis M J

出版信息

J Pharmacokinet Biopharm. 1979 Oct;7(5):511-25. doi: 10.1007/BF01062392.

DOI:10.1007/BF01062392
PMID:529020
Abstract

The solution for a linear mammillary model is always described by a summation of m + 1 negative exponential terms with constant coefficients. m + 1 less than or equal to N, where N is the number of compartments in the model. m is equal to the number of distinct values for the peripheral Ej values. Use is made of matrix notation and the theorems of Browne concerning the eigenvalues of a matrix. The consequences of vanishing exponentials are derived, and in particular the apparent volume of distribution frequently calculated from experimental data is shown not to be unique.

摘要

线性乳头状模型的解总是由具有恒定系数的m + 1个负指数项的总和来描述。m + 1小于或等于N,其中N是模型中的区室数。m等于外周Ej值的不同值的数量。使用矩阵符号以及布朗关于矩阵特征值的定理。推导了消失指数的结果,特别是从实验数据中经常计算出的表观分布体积不是唯一的。

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本文引用的文献

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J Pharm Sci. 1969 Dec;58(12):1477-80. doi: 10.1002/jps.2600581211.
2
General treatment of linear mammillary models with elimination from any compartment as used in pharmacokinetics.线性乳突模型的一般处理方法,即如药代动力学中所使用的那样,从任何隔室中消除。
J Pharm Sci. 1972 Apr;61(4):536-41. doi: 10.1002/jps.2600610408.
3
Derivation of general equations for linear mammillary models when the drug is administered by different routes.
考虑 Chen 和 Gross 方法中组织-血浆分配系数的分数分布参数 f:几种方法的比较。
Pharm Res. 2022 Mar;39(3):463-479. doi: 10.1007/s11095-022-03211-3. Epub 2022 Mar 14.
4
Applications of a recirculatory stochastic pharmacokinetic model: limitations of compartmental models.循环随机药代动力学模型的应用:房室模型的局限性
J Pharmacokinet Biopharm. 1979 Apr;7(2):207-25. doi: 10.1007/BF01059739.
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Mathematical basis and generalization of the Loo-Riegelman method for the determination of in vivo drug absorption.用于体内药物吸收测定的Loo-Riegelman方法的数学基础及推广
J Pharmacokinet Biopharm. 1980 Feb;8(1):83-98. doi: 10.1007/BF01059450.
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