Local Sensitivity Analysis Of Cardiovascular
System Parameters
Author(s)
R. Gul & S. Bernhard
Abstract
Cardiovascular disease is one of the major problems in today’s medicine and the
number of patients increase worldwide. To treat these types of diseases, prior
knowledge about function and dysfunction of the cardiovascular systemis essential
for identifying the disease in an early stage.
Mathematical modeling is a powerful tool for prediction and investigation of
the cardiovascular system. It has been shown, that theWindkessel model, drawing
an analogy between electrical circuits and fluid flow, is an effective method to
model the human cardiovascular system. The aims of this work are the derivation
of a computational cardiovascular model for the arm arteries, and to analyze the
behavior of the vascular network structure by parameter sensitivity analysis.
Sensitivity analysis is essential for parameter estimation and simplification of
cardiovascular models. In optimal experiment design (OED) sensitivity analysis
is used to construct experiments and corresponding models that allow the
interpretation of cardiovascular measurements in an effective manner. In this
paper we have applied sensitivity analysis to a linear elastic model of the arm
arteries to find sensitive parameters and their confidence intervals that guide
us to the estimation of cardiovascular network parameters. To calculate the
percentage effect on the measurable state variables pressure and flow, with respect
to percentage change in cardiovascular input parameters, we use norms. This
method allows us to quantify and verify results obtained by sensitivity analysis.
The sensitivities with respect to flow resistance, arterial compliance and flow
inertia, reveal that the flow resistance and diameter of the vessels are the most
Keywords
computational cardiovascular model, cardiovascular parameters, sensitivity analysis, Windkessel model
Related Book
Other papers in this volume
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