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A simple mathematical model of simultaneous combined action of ionizing radiation and hyperthermia has been proposed. The model suggests that the synergistic interaction of ionizing radiation and hyperthermia is expected to result from the additional lethal damage arising from the interaction of...
In automatic feedback control of intravenous drug infusions, convergence to the setpoint is an important objective. This paper examines the stability of pharmacokinetic-pharmacodynamic models of patient response regulated with proportional integral feedback. The model consists of three...
Lifetime data classified according to categorical variables under the proportionality of the hazard functions of response variables for various treatment combinations is assumed. The proposed model is a combination of Cox's proportional hazards model and ANOVA model. The existence of a solution...
A mathematical model that describes the effects of cell-cycle-specific drugs on cancer and normal tissue is developed. The model takes into account the proliferating cells, which are sensitive to the treatment, and the quiescent cells, which are resistant to the treatment. With the use of...
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