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Related papers: An Inverse Problems Approach to Pulse Wave Analysi…

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We consider the inverse problem of estimating the spatially varying pulse wave velocity in blood vessels in the brain from dynamic MRI data, as it appears in the recently proposed imaging technique of Magnetic Resonance Advection Imaging…

Numerical Analysis · Mathematics 2020-01-13 Simon Hubmer , Andreas Neubauer , Ronny Ramlau , Henning U. Voss

We consider the inverse problem of recovering both an unknown electric current and the surrounding electromagnetic parameters of a medium from boundary measurements. This inverse problem arises in brain imaging. We show that under generic…

Analysis of PDEs · Mathematics 2017-10-25 Youjun Deng , Hongyu Liu , Gunther Uhlmann

The morphology and velocity of the pulse wave in the arteries provide meaningful information about the cardiovascular system. Nowadays, the pulse wave is usually acquired using common blood pressure cuffs at the extremities. This work…

Medical Physics · Physics 2019-03-01 Roman Kusche , Turner Adornetto , Paula Klimach , Martin Ryschka

Arterial pulse waves contain clinically useful information: their intensity varies with cardiac performance, their speed (pulse wave velocity; PWV) depends on arterial stiffness and their reflection is affected by conduit artery tone. Here…

Medical Physics · Physics 2022-05-31 Ethan M Rowland , Kai Riemer , Kevin Lichtenstein , Mengxing Tang , Peter Weinberg

Pulse wave measurements provide vital information in medical diagnosis. For this reason, a measurement system is developed for determining the transient time of the pulse wave between the heart and the ear. To detect pressure variations in…

Medical Physics · Physics 2020-08-06 Roman Kusche , Paula Klimach , Ankit Malhotra , Steffen Kaufmann , Martin Ryschka

Objective: Arterial stiffness is an important marker to predict cardio vascular events. Common measurement techniques to determine the condition of the aorta are limited to the acquisition of the arterial pulse wave at the extremities. The…

Medical Physics · Physics 2019-03-06 Roman Kusche , Arthur-Vincent Lindenberg , Sebastian Hauschild , Martin Ryschka

Pulse wave analysis is an important method used to gather information about the cardiovascular system. Instead of detecting the pulse wave via pressure sensors, bioimpedance measurements can be performed to acquire minuscule changes in the…

Medical Physics · Physics 2019-02-26 Roman Kusche , Paula Klimach , Martin Ryschka

We consider the fully-developed flow of an incompressible Newtonian fluid in a cylindrical vessel with elliptical cross-section (both an ellipse and the annulus between two confocal ellipses). In particular, we address an inverse problem,…

Analysis of PDEs · Mathematics 2013-01-01 Luigi C. Berselli , Francesca Guerra , Barbara Mazzolai , Edoardo Sinibaldi

In electrocardiography, the "classic" inverse problem is the reconstruction of electric potentials at a surface enclosing the heart from remote recordings at the body surface and an accurate description of the anatomy. The latter being…

Numerical Analysis · Mathematics 2021-06-29 Lia Gander , Rolf Krause , Michael Multerer , Simone Pezzuto

The arterial pulse wave, which propagates along the artery, is an important indicator of various cardiovascular diseases. By measuring the displacement at multiple parts of the human body, pulse wave velocity can be estimated from the pulse…

Signal Processing · Electrical Eng. & Systems 2020-09-28 Takuya Sakamoto

As the heart beats, it creates fluctuation in blood pressure leading to a pulse wave that propagates by displacing the arterial wall. These waves travel through the arterial tree and carry information about the medium that they propagate…

Fluid Dynamics · Physics 2018-03-12 Peshala P. T Gamage , Fardin Khalili , Hansen A Mansy

We study an inverse problem for the wave equation, concerned with estimating the wave speed, aka velocity, from data gathered by an array of sources and receivers that emit probing signals and measure the resulting waves. The typical…

Numerical Analysis · Mathematics 2025-08-19 Liliana Borcea , Josselin Garnier , Alexander V. Mamonov , Jörn Zimmerling

SUMMARY This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic simulations of a reduced-order pulse wave propagation…

Numerical Analysis · Mathematics 2016-06-22 A Brault , L Dumas , D Lucor

The measurement of the pulse wave has proven to be a vital tool in medical diagnosis. Whereby most pulse wave measurements are carried out at extremities, this work proposes a system for measuring the pulse wave and the Pulse Arrival Time…

The oscillations of the human heart rate are inherently complex and non-linear -- they are best described by mathematical chaos, and they present a challenge when applied to the practical domain of cardiovascular health monitoring in…

Machine Learning · Computer Science 2025-11-03 Berken Utku Demirel , Christian Holz

Non-invasive assessment of the electrical activation pattern can significantly contribute to the diagnosis and treatment of cardiac arrhythmias, due to faster and safer diagnosis, improved surgical planning and easier follow-up. One…

Medical Physics · Physics 2024-01-09 Nathan Dermul , Hans Dierckx

A novel method to solve inverse problems for the wave equation is introduced. The method is a combination of the boundary control method and an iterative time reversal scheme, leading to adaptive imaging of coefficient functions of the wave…

Analysis of PDEs · Mathematics 2007-05-23 Kenrick Bingham , Yaroslav Kurylev , Matti Lassas , Samuli Siltanen

This paper proposes a new mathematical formulation for flow measurement based on the inverse source problem for wave equations with partial boundary measurement. Inspired by the design of acoustic Doppler current profilers (ADCPs), we…

Optimization and Control · Mathematics 2025-03-19 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu

We show that the recoils of the body caused by cardiac motion and blood circulation provide a noninvasive method capable to display the motions of the heart muscle and the propagation of the pulse wave along aorta and its branches. The…

Medical Physics · Physics 2007-05-23 J. Kriz , P. Seba
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