Optimal control for a standard CPR model

Suzanne Lenhart; Vladimir Protopopescu; Eunok Jung; Charles Babbs

doi:10.1016/j.na.2005.02.023

Optimal control for a standard CPR model

Suzanne Lenhart, Vladimir Protopopescu, Eunok Jung, Charles Babbs

Computational Sciences & Engineering Div

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	e1391-e1397
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	63
Issue number	5-7
DOIs	https://doi.org/10.1016/j.na.2005.02.023
State	Published - Nov 30 2005

Funding

This work was partially supported by an ORNL seed money grant. We also acknowledge partial support of S.L. and V.P. by the Division of Material Sciences of the US Department of Energy, under Contract no. DE-AC05-00OR22725 with UT-Battelle, LLC.

Funders	Funder number
U.S. Department of Energy	DE-AC05-00OR22725
Oak Ridge National Laboratory

Keywords

Cardiopulmonary resuscitation
Difference equation
Optimal control

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10.1016/j.na.2005.02.023

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AU - Lenhart, Suzanne

AU - Protopopescu, Vladimir

AU - Jung, Eunok

AU - Babbs, Charles

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N2 - 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.

AB - 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.

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Optimal control for a standard CPR model

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