Author: Sune DanÝ, University of Copenhagen.
Names and affiliation of other authors:
Gunnar Cedersund, Frauenhofer Chalmers
Mads F. Madsen, University of Copenhagen
Mats Jirstrand, Frauenhofer Chalmers
Dan Fraenkel, Harvard Medical School
Oral or poster: Oral presentation
A central question for mathematical modelling of biochemical systems is whether or not enzyme kinetic parameters determined in vitro are relevant for our description of the living system. We present two methods for determining enzyme kinetic parameters from in vivo data. The first method uses an analysis of the covariance matrix to simplify the full enzyme kinetic rate expression to one where all parameters can be uniquely estimated from the data. The simplification is done in such a manner that the structure of the kinetic expression is preserved, something which makes a comparison between in vivo and in vitro parameters straightforward. The second method achieves an identifiable kinetic expression through minimal modelling. Thereafter a translation between the parameters in the reduced and the original expression is obtained. The result from either of the methods is a core-box expression which includes both the mechanistic knowledge from the full enzyme kinetic rate expression, and an identification of those features, that can be estimated from the in vivo data.