Mathematical Modeling of Tumor

Key Projects:

    Mathematical Modeling of Tumor Induced  Angiogenesis

Angiogenesis, the formation of blood vessels from a pre-existing vasculature, is a   process whereby capillary sprouts are formed in response to externally supplied chemical stimuli. The sprouts then grow and develop, driven initially by endothelial-cell migration, and organize themselves into a dendritic structure. Subsequent cell proliferation near the sprout tip permits further extension of the capillary and ultimately completes the process. During this research, we aim to extend the continuous mathematical model to define the capillary network formation in the absence of endothelial-cell proliferation.

    Nanofluid Hyperthermia Modeling

During the hyperthermia treatment, the dispersed nanoparticles selectively attach to unhealthy cells and then the region is irradiated, usually with a magnetic field (as shown in the image below). To maintain an ideal temperature for a reasonable period of time, during which, the cancerous cells will be killed, while the normal surrounding tissue will remain unharmed, is still a topic of debate. We here at COMSATS are devoted to propose a mathematical model which will address such key points.


Department of Mathematics
  • Dr Ayesha Sohail

Department of Chemical Engineering

  • Professor Zaki Ahmad


  • Dr Anila Asfi