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Updated: Jan 23, 2026

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Published on: May 3, 2021
Nonlinear model predictive control for dosing daily anticancer agents using a novel saturating-rate cell-cycle model
Jeffry A Florian1, Julie L Eiseman, Robert S Parker
1Department of Chemical and Petroleum Engineering, University of Pittsburgh School of Engineering, Pittsburgh, PA, USA.
Abstract:
A nonlinear model predictive control (NMPC) algorithm was developed to dose the chemotherapeutic agent tamoxifen based on a novel saturating-rate, cell-cycle model (SCM). Using daily tumor measurements, the algorithm decreased tumor volume along a specified reference trajectory in simulated animals over 4 months. In mismatch case studies, controllers based on the Gompertz model (GM) yielded equivalent total drug delivered and elapsed time to t(99%) reference step convergence to those obtained using the SCM, though this performance was dependent on the cell-cycle phase of drug effect. Overall, the NMPC algorithm is suitable for dosing chemotherapeutics with regular administration schedules and may be adapted for regularly administered chemotherapeutics other than tamoxifen.
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