Solutions and modeling for linear differential systems with constant coefficients

Abstract

This program has been developed for the investigation of biological systems, especially for the simulation of compartmental models. However, it can be applied to any problem leading to a system of linear differential equations with constant coefficients. It deals with systems whose input flux is either a constant, an exponential, or a linear combination of exponentials and this for any arbitrary initial conditions. The originality of our program is that the matrix of the system may be very general, i.e. matrices with multiple eigenvalues are taken into account. Moreover analytic solutions are obtained which are useful to study statistical distribution and confidence intervals of parameters.