pinene

This test system models a simple biochemical system of five variables, and originally studied by Box et al. (1973).

The system has five dependent variables X3-X5. It can be described by the following equations: 


X1'(t) = -( k1 + k2)  X1(t) 

X2'(t) = k1 X1(t) 

X3'(t) = k2 X1(t) - (k3 + k4) X3(t) + k5 X5(t) 

X4'(t) = k3  X3(t) 

X5'(t) = -k4 X3(t) + k5 X5(t)

The system specification in the same format as the problem: pinene.

The system specification in SBML format: pinene.xml.

A simple Matlab script for simulating the system is given in pinene.m.

About the problem

pe_pinene is a parameter estimation test problem with data from Box et al. (1973).

References

Box, G.E.P., Hunter, W.G., MacGregor, J.F. Erjavec, J. Some problmes associated with the analysis of multiresponse data. Technometrics 15, 33-51 (1973)