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This article explores the structure of the Gompertz-Logistic generalized model, that describes several cancer types, to design drug administration profiles. The aim is to handle the nonlinear behaviour of the generalized model such that the tumor size follows a decreasing reference target. Since the Gompertz model can be transformed in a linear dynamical model by applying the ln(.) transformation,...
Receding horizon control (RH) is a powerful and well known technique used to embed feedback in the solution of a dynamic optimization problem. In most published approaches, RH control is associated to model predictive control and amounts to minimize a cost defined over an horizon that slides in time. The optimization is done with respect to a sequence of candidate values for the manipulated variable,...
This paper proposes an adaptive approach to improve the performance of Target Controlled Infusion (TCI) based strategies. The method determines an adequate drug dose profile that drives the drug effect on the individual patient to a desired target in a prespecified period of time. It combines an optimal variance constrained drug dose design with a hybrid identification of the individual patient dynamics...
A major obstacle in the design of controllers to regulate the depth of anesthesia (DoA) consists in the high model uncertainty due to inter-patient variability. Surprisingly, the use of control design methods that explicitly tackle this problem is almost absent from the literature on automatic control of anesthesia. In this work, a DoA controller is designed taking into account model uncertainty to...
Although many papers address the issue of therapy design for HIV-1 infection based on control methods, the results available in the literature do not in general consider the fact that the manipulated variable is not continuous but a train of pulses. In addition, they are usually concerned only with the relation between drug effect (assumed to be manipulated) and virus dynamics. In order to improve...
The problem of controlling the level of unconsciousness measured by the BIS index of patients under anesthesia, is considered. It is assumed that the manipulated variable is the administration rate of propofol, while remifentanil is also administered for analgesia. Since these two drugs interact, the administration rate of remifentanil is considered as an accessible disturbance. A predictive adaptive...
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