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

• Published in: Control engineering practice Vol. 13; no. 9; pp. 1163 - 1171
• Main Authors: Heldt, T., Chang, J.L., Chen, J.J.S., Verghese, G.C., Mark, R.G.
• Format: Journal Article
• Language: English
• Published: Legacy CDMS Elsevier Ltd 01.09.2005
• 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; Model reduction; Simulation; Circuits; Transient analysis; Average values; Biomedical systems; Nasa Discipline Clinical Medicine; Non-Nasa Center; NASA Discipline Clinical Medicine; Non-NASA Center
• ISSN: 0967-0661; 1873-6939
• DOI: 10.1016/j.conengprac.2004.10.012

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.