Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets

Authors

Mazurenko, S., Damborsky, J., Prokop, Z.

Book

ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING 616: 9-17

Editor

Fdez-Riverola, F., Mohamad, M. S., Rocha, M., De Paz, J. F., Pinto, T.

Publisher

Springer, New York

Abstract

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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Citation

Mazurenko, S., Damborsky, J., Prokop, Z., 2017: Multi-Enzyme Pathway Optimisation Through Star-Shaped Reachable Sets. In: Fdez-Riverola, F., Mohamad, M. S., Rocha, M., De Paz, J. F., Pinto, T., Advances in Intelligent Systems and Computing 616, Springer, New York, pp. 9-17.

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