Properties of the recirculation model: Matrix description and conditions for a monotonic decreasing single pass response

Abstract

The recirculation equation is examined for the case in which the blood concentration is given by a polyexponential expression ⌆ A_i exp (-a_it). A matrix is developed whose eigenvalues are the exponential coefficients of the single pass response. These eigenvalues are real and distinct, and the single pass response is monotonic decreasing, when the A_i are all positive. An ordering relation for the eigenvalues is given.