We have developed a computer program which
simulates the growth and development of multicellular tumor
spheroids. The program implements a basic description of
the metabolism, growth and proliferation of single cells, a full
3-dimensional geometry, and handles the complex problem of
diffusion and transport of nutrients and metabolites into and
out of cells, and in their surrounding environment. Here we
discuss some of the challenging computational problems that
arise in the implementation of this biophysical model.