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@inproceedings{1403832,
author = {Mazurenko, Stanislav and Damborský, Jiří and Prokop, Zbyněk},
address = {Německo},
booktitle = {11th International Conference on Practical Applications of Computational Biology & Bioinformatics},
doi = {http://dx.doi.org/10.1007/978-3-319-60816-7_2},
editor = {Rocha M.,De Paz J.F.,Pinto T.,Fdez-Riverola},
keywords = {Enzyme kinetics; Optimal control; Synthetic biology; Metabolic networks; Non-linear dynamics},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Německo},
isbn = {978-3-319-60816-7},
pages = {9-17},
publisher = {Springer International Publishing},
title = {Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets},
url = {https://loschmidt.chemi.muni.cz/peg/wp-content/uploads/2017/10/9783319608150-c2.pdf},
year = {2017}
}
TY - JOUR
ID - 1403832
AU - Mazurenko, Stanislav - Damborský, Jiří - Prokop, Zbyněk
PY - 2017
TI - Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets
PB - Springer International Publishing
CY - Německo
SN - 9783319608167
KW - Enzyme kinetics
KW - Optimal control
KW - Synthetic biology
KW - Metabolic networks
KW - Non-linear dynamics
UR - https://loschmidt.chemi.muni.cz/peg/wp-content/uploads/2017/10/9783319608150-c2.pdf
L2 - https://loschmidt.chemi.muni.cz/peg/wp-content/uploads/2017/10/9783319608150-c2.pdf
N2 - 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.
ER -
MAZURENKO, Stanislav, Jiří DAMBORSKÝ and Zbyněk PROKOP. Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets. In Rocha M.,De Paz J.F.,Pinto T.,Fdez-Riverola. \textit{11th International Conference on Practical Applications of Computational Biology \&{} Bioinformatics}. Německo: Springer International Publishing, 2017, p.~9-17. ISBN~978-3-319-60816-7. Available from: https://dx.doi.org/10.1007/978-3-319-60816-7\_{}2.
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