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Lumped parameter estimation for the embryonic chick vascular system: a time-domain approach using MLAB.

机译:雏鸡血管系统的集总参数估计:使用MLAB的时域方法。

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摘要

We have evaluated several lumped parameter analog models for the early chick embryonic vascular system that may be used to infer loading characteristics of the developing heart. We measured dorsal aortic pressure and flow simultaneously with a servo-null pressure system and a pulsed Doppler velocimeter. Four different analog circuit models were chosen for comparisons. We formulated the time-domain differential equations specifying the relations between pressure and flow in the models, and then estimated the lumped parameters that produced the best fit. The MLAB mathematical modeling software was used for solving differential equations, and for minimizing the difference between model-predicted values and experimental data. The traditional three-element Windkessel model with an added inductance term was most often the best-fitting model. This is compatible with the previous study using a frequency-domain approach. The procedures developed for the current study are adaptable for the study of a variety of nonlinear models, and distributed parameter models for mammalian cardiovascular development with mechanically, pharmacologically, or genetically altered conditions.
机译:我们已经评估了早期雏鸡胚胎血管系统的几种集总参数类似物模型,这些模型可以用来推断发育中的心脏的负荷特征。我们通过伺服零压力系统和脉冲多普勒测速仪同时测量了主动脉背压和血流。选择了四种不同的模拟电路模型进行比较。我们制定了时域微分方程,指定了模型中压力与流量之间的关系,然后估计了产生最佳拟合的集总参数。 MLAB数学建模软件用于求解微分方程,并最小化模型预测值和实验数据之间的差异。具有附加电感项的传统三元素Windkessel模型通常是最合适的模型。这与先前使用频域方法的研究兼容。为当前研究开发的程序适用于各种非线性模型的研究,以及具有机械,药理或遗传改变条件的哺乳动物心血管发育的分布式参数模型。

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