Limitations of time-delayed case isolation in heterogeneous SIR models

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The lack of methods to evaluate mechanical function of donated hearts in the context of transplantation imposes large precautionary margins, translating into a low utilization rate of donor organs. This has spawned research into cyber-physical models constituting artificial afterloads (arterial trees), that can serve to evaluate the contractile capacity of the donor heart. The Windkessel model is an established linear time-invariant afterload model, that researchers committed to creating a cyber-physical afterload have used as a template. With aortic volumetric flow as input and aortic pressure as output, it is not directly obvious how a Windkessel model will respond to changes in heart contractility. We transform the classic Windkessel model to relate power, rather than flow, to pressure. This alters the model into a differential-algebraic equation, albeit one that is straightforward to simulate. We then propose a power signal model, that is based on pressure and flow measurements and optimal in a Bayesian sense within the class of C2 signals. Finally, we show how the proposed signal model can be used to create relevant simulation scenarios, and use this to illustrate why it is problematic to use the Windkessel model as a basis for designing a clinically relevant artificial afterload.
Originalspråkengelska
Titel på värdpublikationAmerican Control Conference
Sidor2994-2999
Volym2022
DOI
StatusPublished - 2022
EvenemangAmerican Control Conference, 2022 - Atlanta, GA, USA
Varaktighet: 2022 juni 82022 juni 10
https://acc2022.a2c2.org/

Konferens

KonferensAmerican Control Conference, 2022
Förkortad titelACC
Land/TerritoriumUSA
OrtGA
Period2022/06/082022/06/10
Internetadress

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