Mathematical Modeling and Analysis
Mathematical Modeling and Analysis
The propagation of light through human tissue is described by the linear transport equation. This equation models the behavior exhibited by photons (quantum-sized particles of light) when streaming through a domain filled by the nuclei of a background medium. In my work, least-squares principles are employed to solve this equation, which results in knowledge of the photon distribution within the physical domain. An example of such a domain is human tissue. The usefulness of this method is apparent in biomedical optical imaging where non-invasive techniques, based on this equation, are used to detect tissue abnormalities.
