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dc.contributor.authorAlexanderian, Alen
dc.contributor.authorReese, William
dc.contributor.authorSmith, Ralph C.
dc.contributor.authorYu, Meilin
dc.date.accessioned2019-04-04T15:01:31Z
dc.date.available2019-04-04T15:01:31Z
dc.date.issued2019-03-15
dc.description.abstractWe consider biotransport in tumors with uncertain heterogeneous material properties. Specifically, we focus on the elliptic partial differential equation (PDE) modeling the pressure field inside the tumor. The permeability field is modeled as a log-Gaussian random field with a prespecified covariance function. We numerically explore dimension reduction of the input parameter and model output. Truncated Karhunen–Lo`eve (KL) expansions are used to decompose the log-permeability field, as well as the resulting random pressure field. We find that although very high-dimensional representations are needed to accurately represent the permeability field, especially in presence of small correlation lengths, the pressure field is not very sensitive to high-order KL terms of the input parameter. Moreover, we find that the pressure field itself can be represented accurately using a KL expansion with a small number of terms. These observations are used to guide a reduced-order modeling approach to accelerate computational studies of biotransport in tumors.en_US
dc.description.urihttps://arxiv.org/abs/1903.06314en_US
dc.format.extent10 pagesen_US
dc.genrejournal articles preprintsen_US
dc.identifierdoi:10.13016/m28jci-kbtv
dc.identifier.citationAlen Alexanderian, William Reese, Ralph C. Smith, Meilin Yu, Model input and output dimension reduction using Karhunen Loève expansions with application to biotransport, Physics , Computational Physics, 2019, https://arxiv.org/abs/1903.06314en_US
dc.identifier.urihttp://hdl.handle.net/11603/13337
dc.language.isoen_USen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mechanical Engineering Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.subjectbiotransporten_US
dc.subjectpartial differential equation (PDE)en_US
dc.subjecttumoren_US
dc.subjectKarhunen-Loève (KL)en_US
dc.titleModel input and output dimension reduction using Karhunen Loève expansions with application to biotransporten_US
dc.typeTexten_US


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