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A Model with Three Compartments and Nonnegative Transfers
Author(s) -
Berg L.
Publication year - 1991
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710330613
Subject(s) - mathematics , quadratic equation , least squares function approximation , mathematical optimization , statistics , estimator , geometry
We consider a periodic model with three compartments, which can be considered as a simplified model for the dynamics of follicles. We give necessary and sufficient conditions for the solvability in nonnegative inputs, transfers and outputs, and we determine the minimal solution. If the problem is 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.