Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets

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MAZURENKO Stanislav DAMBORSKÝ Jiří PROKOP Zbyněk

Rok publikování 2017
Druh Článek ve sborníku
Konference 11th International Conference on Practical Applications of Computational Biology & Bioinformatics
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www 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
Klíčová slova Enzyme kinetics; Optimal control; Synthetic biology; Metabolic networks; Non-linear dynamics
Popis 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.
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