Shape analysis of brain structures using physical and experimentalmodes
Martin, J.
Pentland, A.
Kikinis, R.
Surgical Planning Lab., Brigham & Women's Hospital, Boston, MA;
Abstract
We present a framework for analyzing the shape of structures
within the human brain. A mathematical model is developed describing the
deformation of any brain structure whose shape is affected by both gross
and detailed physical processes. The total shape deformation is
decomposed into physical modes of variation obtained from finite element
analysis, and experimental modes of variation obtained from sample data
using principal component analysis. This mathematical model is used to
classify diseases that affect the shape of the ventricular system of the
brain. Because ventricular shape is affected not only by pathology but
also by overall brain shape, disease discrimination is difficult. By
modeling the brain's elastic properties, we are able to compensate for
some of the nonpathological modes of ventricular shape variation. This
allows us to experimentally characterize modes of variation that are
indicative of disease processes
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