Chapman M J, Godfrey K R, Vajda S
Department of Mathematics, Coventry University, England.
Math Biosci. 1994 Jan;119(1):77-95. doi: 10.1016/0025-5564(94)90005-1.
Indistinguishability, as applied to nonlinear compartmental models, is analyzed by means of the local state isomorphism theorem. The method of analysis involves the determination of all local, diffeomorphic transformations connecting the state variables of two models. This is then applied to two two-compartment models, in the first instance with linear eliminations, and then with the addition of eliminations with Michaelis-Menten kinetics. In the nonlinear example, the state transformation turns out to be linear or possibly affine. It is found that the nonlinear analysis could be eased by splitting the state isomorphism equations into those of the initial linear models together with extra equations due to the nonlinearities.
应用于非线性房室模型的不可区分性，通过局部状态同构定理进行分析。分析方法包括确定连接两个模型状态变量的所有局部微分同胚变换。然后将此方法应用于两个双房室模型，首先是具有线性消除的模型，接着是添加了米氏动力学消除的模型。在非线性示例中，状态变换结果是线性的或可能是仿射的。研究发现，通过将状态同构方程分解为初始线性模型的方程以及由于非线性产生的额外方程，可以简化非线性分析。
