School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150, USA.
Comput Math Methods Med. 2012;2012:165946. doi: 10.1155/2012/165946. Epub 2012 Jun 8.
We develop optimal respiratory airflow patterns using a nonlinear multicompartment model for a lung mechanics system. Specifically, we use classical calculus of variations minimization techniques to derive an optimal airflow pattern for inspiratory and expiratory breathing cycles. The physiological interpretation of the optimality criteria used involves the minimization of work of breathing and lung volume acceleration for the inspiratory phase, and the minimization of the elastic potential energy and rapid airflow rate changes for the expiratory phase. Finally, we numerically integrate the resulting nonlinear two-point boundary value problems to determine the optimal airflow patterns over the inspiratory and expiratory breathing cycles.
我们使用非线性多腔室模型为肺部力学系统开发最佳呼吸气流模式。具体来说，我们使用经典变分法最小化技术为吸气和呼气呼吸循环导出最佳气流模式。所使用的最优性准则的生理解释涉及吸气阶段呼吸功和肺容量加速度的最小化，以及呼气阶段弹性位能和快速气流速率变化的最小化。最后，我们数值积分得到的非线性两点边值问题，以确定吸气和呼气呼吸循环中的最佳气流模式。
