Conservation laws and unidentifiability of rate expressions in biochemical models.
New experimental techniques in bioscience provide us with high-quality data allowing quantitative mathematical modelling. Parameter estimation is often necessary and, in connection with this, it is important to know whether all parameters can be uniquely estimated from available data, (i.e. whether the model is identifiable). Dealing essentially with models for metabolism, we show how the assumption of an algebraic relation between concentrations may cause parameters to be unidentifiable. If a sufficient data set is available, the problem with unidentifiability arises locally in individual rate expressions. A general method for reparameterisation to identifiable rate expressions is provided, together with a Mathematica code to help with the calculations. The general results are exemplified by four well-cited models for glycolysis.
Anguelova
M
M
Mathematical Sciences, Chalmers University of Technology, Gothenburg SE-412 96, Sweden.
Cedersund
G
G
Johansson
M
M
Franzén
C J
CJ
Wennberg
B
B
D000465:Algorithms; D001671:Biochemistry / Q000379:methods*; D001704:Biopolymers / Q000378:metabolism*; D003198:Computer Simulation; D007700:Kinetics; D008657:Metabolic Clearance Rate; D008954:Models, Biological; D015398:Signal Transduction / Q000502:physiology*; D012984:Software
D001704:Biopolymers