Research in this area is part of the translatlantic network of excellence in: Multi-scale Modeling of Single Ventricle Hearts for Clinical Decision Support, and is ongoing work.

The Model

The following closed-loop model of circulation is proposed

Cloop-model

Closed-loop model for single-ventricle circulation (shunt physiology)

For heart chambers, the model proposed in Arts et. al. [1] is used, and the model by Mynard et. al. [2] is used to described valve-mechanics.

Parameter estiamtion Data-assimilation is used to combine a variety of clinical measurements with varying uncertainty, ranging from MRI to Doppler velocimetry to pressure catheters, such that the model output closely reproduces the clnical observations.

Example on a patient-specific model

Cloop-model

Model output compared with clinical measurements

References
[1] T. Arts, et. al. Modeling the relation between cardiac pump function and myofiber mechanics . Journal of biomechanics, 36(5):731–736, 2003.

[2] J.P.Mynard, et. al. A simple, versatile valve model for use in lumped parameter and one-dimensional cardiovascular models. Int J Numer Method Biomed Eng. 2012 Jun-Jul;28(6-7):626-41.