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Mathematical modelling of the maternal cardiovascular system in the three stages of pregnancy

Corsini, C; Cervi, E; Migliavacca, F; Schievano, S; Hsia, T-Y; Pennati, G; (2017) Mathematical modelling of the maternal cardiovascular system in the three stages of pregnancy. Medical Engineering & Physics , 47 pp. 55-63. 10.1016/j.medengphy.2017.06.025. Green open access

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Abstract

In this study, a mathematical model of the female circulation during pregnancy is presented in order to investigate the hemodynamic response to the cardiovascular changes associated with each trimester of pregnancy. First, a preliminary lumped parameter model of the circulation of a non-pregnant female was developed, including the heart, the systemic circulation with a specific block for the uterine district and the pulmonary circulation. The model was first tested at rest; then heart rate and vascular resistances were individually varied to verify the correct response to parameter alterations characterising pregnancy. In order to simulate hemodynamics during pregnancy at each trimester, the main changes applied to the model consisted in reducing vascular resistances, and simultaneously increasing heart rate and ventricular wall volumes. Overall, reasonable agreement was found between model outputs and in vivo data, with the trends of the cardiac hemodynamic quantities suggesting correct response of the heart model throughout pregnancy. Results were reported for uterine hemodynamics, with flow tracings resembling typical Doppler velocity waveforms at each stage, including pulsatility indexes. Such a model may be used to explore the changes that happen during pregnancy in female with cardiovascular diseases.

Type: Article
Title: Mathematical modelling of the maternal cardiovascular system in the three stages of pregnancy
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.medengphy.2017.06.025
Publisher version: http://doi.org/10.1016/j.medengphy.2017.06.025
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Lumped parameter model, Uterine circulation, Vasodilation, Pregnancy-induced adaptations
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > Institute of Cardiovascular Science
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Population Health Sciences > Institute of Cardiovascular Science > Childrens Cardiovascular Disease
URI: https://discovery.ucl.ac.uk/id/eprint/1565828
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