Competition for available nutrients and the presence of anatomical barriers
are major determinants of tumor growth in vivo. We extend a model recently
proposed to simulate the growth of neoplasms in real tissues to include ge
ometrical constraints mimicking pressure effects on the tumor surface induc
ed by the presence of rigid or semirigid structures. Different tissues have
different diffusivities for nutrients and cells. Despite the simplicity of
the approach, based on a few inherently local mechanisms, the numerical re
sults agree qualitatively with clinical data (computed tomography scans of
neoplasms) for the larynx and the oral cavity.