Applied Math Seminar

Spring Quarter 2007

Friday November 16, 3:15p.m.
Sloan Mathematics Corner, Building 380, Room 380-C

Arnold Kim

Light propagation in layered tissues.

We will discuss direct and inverse problems for light propagation in layered tissues. Light propagation in tissues is governed by the theory of radiative transport. This theory takes into account absorption and scattering due to inhomogeneities. A two layer half space is a useful tissue model because it allows one to prescribe different optical properties in superficial and deep regions of tissues. This difference between optical properties is necessary to model accurately light propagation through tissues systems comprised of a thin cellular epithelial layer supported by an underlying stroma. Since most cancers originate in the epithelial layer of tissues, we consider several problems that have practical applications in detecting early stages of cancer in epithelial tissue layers.

Seminar website: http://math.stanford.edu/~applmath/