Generalized Polynomial Chaos as a Uncertainty Quantification Method for Modeling MR Guided Laser Induced Thermal Therapy.

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abstract accuracy adding agree alternative among analyzed approaches assess assuming asymmetric availability available biomedical blood brain cancer canine central cerebral chaos chosen collected complex conditions confidence confirm constitutive contour contours convective cooler correctly critical damage dependent described designed deterministic deviations differential difficulties dimensions distribution distributions efficacy element enclose ended equation fiber finite fluid frequency furthermore generalized geometries graduate guided heat heated implementation in vivo induced introduces invasiveness investigate isotherms john knowing laboratories laser leaked lesions limit local location magnified magnitude many meant minimize minus model modeled modeling models national near neglecting nonlinear numerically open optical outcomes overall peak perfusion pertinent physics placed placement polynomial portion prediction previous prior problem processed processing properties proton pulse quantification quantity real realizations regarding represent respectively retrospectively sample scanner school sensitivity setting simulation simulations sinks site source studies submitted subtracting subtraction symmetric temperature theorem therapy thermal tissue treatment uncertainty upper utilized variable variance ventricles vessels walker water white