A Model with Three Compartments and Nonnegative Transfers

Abstract

SummaryWe consider a periodic model with three compartments, which can be considered as a simplified model for the dynamics of follicles. We give necessery and sufficient conditions for the solvability in nonnegative inputs, transfers and outputs, and we determine the minimal solution. If the problem ie not solvable according to measurement errors of the given data, we recover suitable values by the method of least-squares, solving a quadratic optimization problem.