Modelling the cardiovascular system for assessing the blood pressure curve
Myers, T. G. (Centre de Recerca Matemàtica)
Ribas Ripoll, Vicent (Centre de Recerca Matemàtica)
Sáez de Tejada Cuenca, Anna (Centre de Recerca Matemàtica)
Mitchell, Sarah L. (University of Limerick. Department of Mathematics and Statistics)
McGuinness, Mark J. (Victoria University of Wellington. Statistics and Operations Research)

Date:	2017
Abstract:	A four compartment model of the cardiovascular system is developed. To allow for easy interpretation and to minimise the number of parameters, an effort was made to keep the model as simple as possible. Using a standard method (Matlab function fminsearch) to calculate the parameter values led to unacceptable run times or non-convergence. Consequently we developed an algorithm which first finds the most important model parameters and uses these as a basis for a four stage process which accurately determines all parameter values. This process is then applied to data from three ICU patients. Good agreement between the model and measured arterial pressure is demonstrated in all cases.
Grants:	Ministerio de Ciencia e Innovación MTM2014-56218
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Blood pressure ; Compartment model ; Parameter estimation
Published in:	Mathematics-in-industry case studies, Vol. 8 (April 2017) , art. 2, ISSN 1913-4967

DOI: 10.1186/s40929-017-0011-1
DOI: 10.1155/2017/9015914
PMID: 28680510
PMID: 28680295

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