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Mixed-Integer Nonlinear PDE-Constrained Optimization for Multi-Modal Chromatography

In: Operations Research Proceedings 2019

Author

Listed:
  • Dominik H. Cebulla

    (TU Braunschweig)

  • Christian Kirches

    (TU Braunschweig)

  • Andreas Potschka

    (Heidelberg University)

Abstract

Multi-modal chromatography emerged as a powerful tool for the separation of proteins in the production of biopharmaceuticals. In order to maximally benefit from this technology it is necessary to set up an optimal process control strategy. To this end, we present a mechanistic model with a recent kinetic adsorption isotherm that takes process controls such as pH and buffer salt concentration into account. Maximizing the yield of a target component subject to purity requirements leads to a mixed-integer nonlinear optimal control problem constrained by a partial differential equation. Computational experiments indicate that a good separation in a two-component system can be achieved.

Suggested Citation

  • Dominik H. Cebulla & Christian Kirches & Andreas Potschka, 2020. "Mixed-Integer Nonlinear PDE-Constrained Optimization for Multi-Modal Chromatography," Operations Research Proceedings, in: Janis S. Neufeld & Udo Buscher & Rainer Lasch & Dominik Möst & Jörn Schönberger (ed.), Operations Research Proceedings 2019, pages 81-87, Springer.
  • Handle: RePEc:spr:oprchp:978-3-030-48439-2_10
    DOI: 10.1007/978-3-030-48439-2_10
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