Optimal control for a standard CPR model

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• 作者：Suzanne Lenhart ; Vladimir Protopopescu ; Eunok Jung and Charles Babbs
• 关键词：Cardiopulmonary resuscitation ; Difference equation ; Optimal control
• 刊名：Nonlinear Analysis
• 出版年：2005
• 出版时间：30 November 2005-15 December 2005
• 年：2005
• 卷：63
• 期：5-7
• 页码：e1391-e1397
• 全文大小：106 K

文摘

Optimal control techniques are applied here for the first time to a validated blood circulation model of cardiopulmonary resuscitation (CPR), consisting of a system of seven difference equations. In this system, the non-homogeneous forcing term is the externally applied chest pressure acting as the “control”. The optimal control technique seeks to maximize the blood flow as measured by the pressure differences between the thoracic aorta and the right head superior vena cava. As a result, we provide a new CPR strategy, with increased blood flow. The optimal control is characterized in terms of the solutions of the circulation model and of the corresponding adjoint system. The calculated optimal control gives the pattern of the external pressure to be applied on the chest to obtain optimal blood flow and higher resuscitation rates.