Research Projects

Hepatocellular Carcinoma (HCC) is a common cause of liver cancer, with ablative treatments being suggested as a bridging therapy. However, due to inexperience in the field, young oncologists often use mathematical models like bioheat equations to study the effects of blood flow and heat on the bioheat equation. Hemodynamics is a growing research topic, but the influence of blood flow and FSI on the bioheat equation is limited. This project proposes using meshfree methods to solve the fluid-structure interaction coupled with bioheat equation for ablative cancer treatment. The project aims to accelerate the computational time and accuracy of solving the FSI problem, bioheat equation, and cell death models to identify dead cells. Parallel computing architecture, such as graphic processing units, can help accelerate these algorithms. This project aims to use the finite point set method (FPM) for complex computational domains with deformation. FPM is suitable for moving boundary and deformable domains, but has high computational costs. The project proposes solving bioheat equations coupled with FSI problems, allowing for fixed domains without discretization or finer grids.