Conservation Laws and Identifiability of Models for Cellular Metabolism

author: Bernt Wennberg, Chalmers University of Technology
published: April 4, 2007,   recorded: March 2007,   views: 5062


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New experimental techniques in the biosciences provide us with high-quality data allowing quantitative mathematical modeling. When fitting model parameters to experimental data, it is important to know whether all parameters can be uniquely estimated from available data. In this paper we discuss a class of models for metabolism, where the introduction of conserved moieties may cause an otherwise identifiable model to be unidentifiable. A general method for reparametrization to identifiable rate expressions is presented, and the general results are exemplified by three well-cited models for yeast metabolism.

Joint work with Milena Anguelova, Gunnar Cedersuna, Carl Johan Franzen, Mikael Johansson

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Reviews and comments:

Comment1 Dr. Michael Bellamy, November 30, 2009 at 4:30 a.m.:

The disturbing point of fact is:
These determinations are constantly "changing" in our description and definitions. It is more a philosophical science than it is a concrete one. So the students study to learn all these "expressions" only to find two years later that they are incorrect. More focus needs to be placed in the efforts to simplify and understand the concepts, rather than bore students with empirical mathematical formulas of "assumption".

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