Graphical and mathematical modeling of tumor shape

Abstract

Researchers have, for sometimes now, been working on the idea of tumor modeling for the purposes of determining tumor growth pattern, size, and size prediction using lots of formal approaches. In this paper, a different approach to modeling tumor is presented. It is a post-segmentation approach that involves quantification of tumor present in all tumorous MRI slice of a patient resulting in the graphical transformation of brain tumor 2D shapes into a continuous shape on Cartesian plane. A number of such transforms are then collected in reasonable number to form a single model of tumor shape. The graphical model of tumor shapes is then mathematically modeled to enable computer simulation and quick numerical quantification of tumor volume. The model would be useful for quick understanding of tumor spread into different segment of the brain during IGS planning, and in computational oncology.

Keywords: Tumor modeling, MRI slice, brain tumor, tumor shape model, mathematical model, tumor spread, IGS planning, computational oncology.