In patients with acute heart failure, the heart can be assisted by the insertion of a mechanical device which takes over part of the heart’s work load by pumping blood from the left ventricle, one of the heart chambers, into the aorta. In this project, we formulate a model that describes the effect of such a device on the cardiovascular dynamics. We show that data for the pressure–volume relationship within a heart chamber that have been obtained experimentally can be reproduced quite accurately by our model. Moreover, such experimental data can help in calibrating unknown parameters that specify the characteristics of the pump. A key parameter turned out to be the extra friction that is encountered by the blood flowing through the heart pump.
|Title of host publication||Proceedings 58th European Study Group Mathematics with Industry (ESGI58/SWI2007), 29 January - 2 February 2007, Utrecht, The Netherlands|
|Editors||R.H. Bisseling, K. Dajani, T.J. Dijkema, J. Leur, van de, P.A. Zegeling|
|Place of Publication||Utrecht|
|Publication status||Published - 2007|