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.

Full text

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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