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Treatment of pathogenic infection is formulated as an optimal control problem with an L1 type objective. Being unable to regulate the resulting inflammatory response can be detrimental for the affected patient. A strategy given by a pro-inflammatory and anti-inflammatory mediator drug treatment is derived. We apply maximum principle and the optimality system composed of four differential equation...
A reduced model of an acute inflammatory response to severe infection is considered. Regulation of the inflammatory response is crucial for restoring the patient to a healthy state. Therefore, an optimal control strategy given by a pro-inflammatory and anti-inflammatory drug treatment are derived. A study of controllability is also presented and the existence result is established. The optimality...
Explicit model reduction for nonlinear systems with no prior information about the type of nonlinearity involved is difficult and challenging. It is easier to reduce nonlinear systems which nonlinearity is known. In this paper we introduce two nonlinear model reduction techniques for quadratic nonlinear systems. The first technique is nonlinear balanced truncation. The Controlability and observability...
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