Cycle-averaged dynamics of a periodically driven, closed-loop circulation model

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 computatio...

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Bibliographic Details
Published in:Control engineering practice 2005-09, Vol.13 (9), p.1163-1171
Main Authors: Heldt, T., Chang, J.L., Chen, J.J.S., Verghese, G.C., Mark, R.G.
Format: Article
Language:English
Subjects:
Algorithms
Average values
Biomedical systems
Cardiovascular Physiological Phenomena
Circuits
Computer Simulation
Diastole - physiology
Electrocardiography
Life Sciences (General)
Mathematics
Model reduction
Models, Cardiovascular
Pulsatile Flow - physiology
Simulation
Space life sciences
Transient analysis
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Summary: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.
ISSN:0967-0661
1873-6939
DOI:10.1016/j.conengprac.2004.10.012