Exploiting optimal control for target-oriented manipulation of (bio)chemical systems: a model-based approach to specific modification of self-organized dynamics. (English) Zbl 1075.92059
Summary: We review recent progress in the development and application of advanced optimal control methods for target-oriented manipulation of self-organized dynamics in (bio)chemical reaction systems. We discuss results related to nonlinear model-based external control aimed at forcing and stabilization of spatiotemporal pattern formation and specific driving, phase resetting and annihilation of limit cycle oscillators. We refer to both open-loop and feedback optimal control approaches. Optimal control strategies for self-organized systems may be highly beneficial in applications concerned with steering of technical processes in open non-equilibrium systems and specific manipulation of self-organized cellular dynamics in biomedicine.
MSC:
| 92E20 | Classical flows, reactions, etc. in chemistry |
| 92C40 | Biochemistry, molecular biology |
| 49N90 | Applications of optimal control and differential games |
| 92C15 | Developmental biology, pattern formation |
Keywords:
Control of self-organization and pattern formation; optimization; optimal control; external forcing; nonlinear dynamics in chemistry; cell biology and biomedicineReferences:
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