Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

MAZURENKO Stanislav DAMBORSKÝ Jiří PROKOP Zbyněk

Year of publication 2017
Type Article in Proceedings
Conference 11th International Conference on Practical Applications of Computational Biology & Bioinformatics
MU Faculty or unit

Faculty of Science

Citation
Web https://loschmidt.chemi.muni.cz/peg/wp-content/uploads/2017/10/9783319608150-c2.pdf
Doi http://dx.doi.org/10.1007/978-3-319-60816-7_2
Keywords Enzyme kinetics; Optimal control; Synthetic biology; Metabolic networks; Non-linear dynamics
Description This article studies the time evolution of multi-enzyme pathways. The non-linearity of the problem coupled with the infinite dimensionality of the time-dependent input usually results in a rather laborious optimization. Here we discuss how the optimization of the input enzyme concentrations might be efficiently reduced to a calculation of reachable sets. Under some general conditions, the original system has star-shaped reachable sets that can be derived by solving a partial differential equation. This method allows a thorough study and optimization of quite sophisticated enzymatic pathways with non-linear dynamics and possible inhibition. Moreover, optimal control synthesis based on reachable sets can be implemented and was tested on several simulated examples.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.