Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

As a first step towards an acoustic localisation device for coronary stenosis to provide a non-
invasive means of diagnosing arterial disease, measurements are reported for an agar …

We compare the performance of three methods for quantifying uncertainty in model
parameters: asymptotic theory, bootstrapping, and Bayesian estimation. We study these …

In this effort we explain fundamental formulations for aggregate data inverse problems
requiring estimation of probability distribution parameters. We use as a motivating example …

We revisit a method originally introduced by Werder et al.(in Comput. Methods Appl. Mech.
Engrg., 190: 6685–6708, 2001) for temporally discontinuous Galerkin FEMs applied to a …

Glioblastoma multiforme (GBM) is a malignant brain cancer with a tendency to both migrate
and proliferate. We propose modeling GBM with heterogeneity in cell phenotypes using a …

Peripheral arterial occlusive disease is a serious cardiovascular disorder. The arterial
occlusion leads to turbulent flow and arterial sound generation on the inner vessel wall …

Early detection of asymptomatic carotid stenosis is crucial for treatment planning in the
prevention of ischemic stroke. Auscultation, the current first-line screening methodology …

Purpose Intracranial stenosis is a critical cardiovascular disorder which may lead to
recurrent ischemic stroke. The flow in a stenosed artery tends to have a chaotic pattern …

In this research work, a mathematical framework is presented to detect a mild carotid
stenosis (55%) using proximal flow measurements. For this purpose, an already developed …