The effects of stochastic fluid transport phenomena in magnetic resonance imaging (MRI)

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dc.contributor.advisorRorschach, Harold E., Jr.en_US
dc.creatorMinard, Kevin R.en_US
dc.date.accessioned2009-06-04T00:07:35Zen_US
dc.date.available2009-06-04T00:07:35Zen_US
dc.date.issued1992en_US
dc.description.abstractKubo's generalized cumulant expansion theorem is used to derive a theoretical expression for the nuclear magnetic resonance (NMR) signal received from a fluid moving in a time-dependent magnetic field gradient. Described in general terms by time-dependent correlation functions, this expression is used to investigate a new statistical model of microcirculation that incorporates both coherent and incoherent flow effects at the microscopic level. Based on a simple picture of the intravoxel environment, this model is developed by considering an arbitrary distribution of tortuous capillary flows. A statistical analysis of the Langevin equation describing slow tortuous capillary flow as a stochastic process reveals precisely how both coherent and incoherent flow effects contribute to the overall attenuation of the NMR spin-echo. Velocity compensated and non-compensated diffusion matched spin-echo imaging sequences are utilized to separate and quantify these respective effects noninvasively on phantoms of stationary and flowing fluid.en_US
dc.format.extent158 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoThesis Phys. 1992 Minarden_US
dc.identifier.citationMinard, Kevin R.. "The effects of stochastic fluid transport phenomena in magnetic resonance imaging (MRI)." (1992) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/13670">https://hdl.handle.net/1911/13670</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/13670en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectBiophysicsen_US
dc.subjectBiomedical engineeringen_US
dc.subjectPlasma physicsen_US
dc.titleThe effects of stochastic fluid transport phenomena in magnetic resonance imaging (MRI)en_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentPhysicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Scienceen_US
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