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Imaging Sci."],"published-print":{"date-parts":[[2025,3,31]]},"abstract":"<jats:p>Abstract.<\/jats:p>\n                  <jats:p>Cardiac pulsations in the human brain have received recent interest due to their possible role in the pathogenesis of neurodegenerative diseases. Further interest stems from their possible application as an endogenous signal source that can be utilized for brain imaging in general. The (pulse-)wave describing the blood flow velocity along an intracranial artery consists of a forward (anterograde) and a backward (retrograde, reflected) part, but measurements of this wave usually consist of a superposition of these components. In this paper, we provide a mathematical framework for the inverse problem of estimating the pulse wave velocity, as well as the forward and backward components of the pulse wave separately from MRI measurements on intracranial arteries. After a mathematical analysis of this problem, we consider possible reconstruction approaches and derive an alternate direction approach for its solution. The resulting methods provide estimates for anterograde\/retrograde wave forms and the pulse wave velocity under specified assumptions on a cerebrovascular model system. Numerical experiments on simulated and experimental data demonstrate the applicability and preliminary in vivo feasibility of the proposed methods.<\/jats:p>","DOI":"10.1137\/24m163921x","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T04:49:05Z","timestamp":1735879745000},"page":"60-88","source":"Crossref","is-referenced-by-count":0,"title":["An Inverse Problems Approach to Pulse Wave Analysis in the Human Brain"],"prefix":"10.1137","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1032-8774","authenticated-orcid":true,"given":"Lukas","family":"Weissinger","sequence":"first","affiliation":[{"name":"Johann Radon Institute Linz, Altenbergerstra\u00dfe 69, A-4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8494-5188","authenticated-orcid":true,"given":"Simon","family":"Hubmer","sequence":"additional","affiliation":[{"name":"Johann Radon Institute Linz, Altenbergerstra\u00dfe 69, A-4040 Linz, Austria."},{"name":"Johannes Kepler University Linz, Institute of Industrial Mathematics, Altenbergerstra\u00dfe 69, A-4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ronny","family":"Ramlau","sequence":"additional","affiliation":[{"name":"Johann Radon Institute Linz, Altenbergerstra\u00dfe 69, A-4040 Linz, Austria."},{"name":"Johannes Kepler University Linz, Institute of Industrial Mathematics, Altenbergerstra\u00dfe 69, A-4040 Linz, Austria."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Henning U.","family":"Voss","sequence":"additional","affiliation":[{"name":"College of Human Ecology, Cornell MRI Facility, Cornell University, Martha Van Rensselaer Hall, Ithaca, NY 14870 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2025,1,3]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2019.05.049"},{"key":"ref2","unstructured":"T. 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