Authors:
Jose A. M. Felippe De Souza,
Marco Antonio Leonel Caetano,
Takashi Yoneyama,
Volume: 1, Page 4839 Paper number 1703
Abstract:
This work concerns a particular application of the Optimal Control
Theory to a model related to HIV infection dynamics. The mathematical
model adopted in this work was proposed by Nowak et al., 1996 and describes
the dynamics of viral concentration in terms of interaction with CD4
cells and the cytotoxic T lymphocytes, which are responsible for the
immune defense of the organism. The control variable is the drug dose,
which, in turn, affects the rate of infection of CD4 cells by HIV virus.
The cost function to be minimized is a weighted sum of the final viral
load and the accumulated side effects. Simulation results show that
the optimal control scheme can achieve improved quality of the treatment
in terms of reduction in the viral load and quantity of administered
drugs, but has the inconvenience related to the necessity of frequent
and periodic laboratory analysis to provide feedback information to
adjust the doses.
Authors:
Urszula A. Ledzewicz,
Heinz M. Schättler,
Volume: 1, Page 4845 Paper number 61
Abstract:
A simple mathematical model for cancer chemotherapy from the literature
is given by an optimal control problem over a finite horizon with control
constraint and dynamics given by a bilinear system. We describe some
aspects of its synthesis of optimal controls for the cases of an L_1-
respectively L_2-objective in the control. In the first case optimal
controls are bang-bang while a saturated smooth control is optimal
for the quadratic objective.
Authors:
Alexey S. Matveev,
Andrey V. Savkin,
Volume: 1, Page 4851 Paper number 2155
Abstract:
Cancer chemotherapy for the case of one drug is studied. The negative
and inhibiting effect of the tumor on normal cells is taken into account.
Under certain assumptions, we determine the optimal regimen that minimizes
the tumor burden at the end of a fixed period of therapy, while maintaining
certain normal cell populations above prescribed levels. More precisely,
it is demonstrated that the optimal strategy corresponds to injection
of the drug at the maximal rate.
Authors:
Dehou Liu,
J. Robert Boston,
Marwan A. Simaan,
James F. Antaki,
Volume: 1, Page 4857 Paper number 1740
Abstract:
Heart assist devices play an important role in the treatment of heart
disease. One of the key issues with these devices is the control of
pump speed to satisfy multiple clinical requirements such as providing
adequate cardiac output at appropriate left atrial pressure and systolic
arterial pressure. A controller based on a multi-objective performance
criterion is being developed at the University of Pittsburgh to fulfill
these requirements. This paper describes the criterion and the penalty
functions from which it is derived. The algorithm was applied to simulated
cardiovascular data and to data from animals with implanted assist
devices, and some preliminary results on the shape of the non-inferior
set defined by the penalty functions were obtained.
Authors:
Lucia Santoso,
Iven M.Y. Mareels,
Volume: 1, Page 4859 Paper number 1974
Abstract:
We present a direct adaptive control/management idea for assisting
patients suffering from type 1 diabetes mellitus. It is argued that
a static non-linear feedback law is all that can reasonably be implemented
given the paucity of the measurement data.
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