The methodology is based on linear system analysis with linearity defined in the general sense of the linear superposition principle. It is well recognized that classical linear compartmental kinetic models exhibit superposition linearity due to their origin in linear differential equations. However, all kinetic models defined in terms of linear combinations of linear mathematical operators, such as differentiation, integration, convolution, and deconvolution, constitute linear systems adhering to the superposition principle. The scope and generality of the linear system approach ranges far beyond linear compartmental models.
To fully appreciate the power and generality of the linear system approach, it is best to depart from the typical, physically structured modeling view of pharmacokinetics. To cut through all the complexity and objectively deal with the present problems, it is best to consider the kinetics of drug transport in a non-parametric manner and simply use stochastic transport principles in the analysis.
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