Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets

• Autores: Stanislav Mazurenko, Jiri Damborsky, Zbynek Prokop
• Localización: 11th International Conference on Practical Applications of Computational Biology & Bioinformatics / Florentino Fernández Riverola (ed. lit.), 2017, ISBN 978-3-319-60815-0, págs. 9-17
• Idioma: inglés
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• Resumen

  • 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.