Time-varying elastance models have been used extensively in the past to simulate the pulsatile nature of cardiovascular waveforms. Frequently, however, one is interested in dynamics that occur over longer time scales, in which case a detailed simulation of each cardiac contraction becomes computationally burdensome. In this paper, we apply circuit-averaging techniques to a periodically driven, closed-loop, three-compartment recirculation model. The resultant cycle-averaged model is linear and time invariant, and greatly reduces the computational burden. It is also amenable to systematic order reduction methods that lead to further efficiencies. Despite its simplicity, the averaged model captures the dynamics relevant to the representation of a range of cardiovascular reflex mechanisms.

中文翻译：

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周期性驱动的闭环循环模型的循环平均动力学

过去广泛使用时变弹性模型来模拟心血管波形的脉动性质。然而，人们经常对发生在较长时间尺度上的动力学感兴趣，在这种情况下，每次心脏收缩的详细模拟在计算上变得很繁重。在本文中，我们将电路平均技术应用于周期性驱动的闭环三室再循环模型。由此产生的周期平均模型是线性和时不变的，大大减少了计算负担。它也适用于系统的减少订单的方法，从而进一步提高效率。尽管它很简单，但平均模型捕获了与一系列心血管反射机制的表示相关的动力学。