Stability and reachability analysis for a controlled heterogeneous population of cells

Stability and reachability analysis for a controlled heterogeneous population of cells

Summary This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and...

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Veröffentlicht in:Optimal control applications & methods 2020-09, Vol.41 (5), p.1678-1704
Hauptverfasser: Carrère, Cécile, Zidani, Hasnaa
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
applications to chemotherapy
Cancer
Computer simulation
Control stability
dynamical programming
Life Sciences
Mathematical models
Mathematics
nonlinear optimal control
Numerical Analysis
Numerical methods
Optimization and Control
reachability analysis
Stability analysis
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Beschreibung
Zusammenfassung:Summary This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and to design a numerical method that we analyze on several numerical simulations.
ISSN:0143-2087
1099-1514
DOI:10.1002/oca.2627