Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics.

Pseudo-spectral approximations are constructed for the model equations describing the population kinetics of human tumor cells in vitro and their responses to radiotherapy or chemotherapy. These approximations are more efficient than finite-difference approximations. The spectral accuracy of the pseudo-spectral method allows us to resolve the model with a much smaller number of spatial grid-points than required for the finite-difference method to achieve comparable accuracy.

A variant of pseudospectral method for activity-dependent dendritic branch model.

A new variant of the pseudospectral method for an activity-dependent dendritic branch model is proposed. This algorithm incorporates the Neumann boundary conditions in a more efficient way than in the algorithms proposed before for similar problems. Numerical experiments indicate that the new algorithm is more efficient than the previous algorithms discussed in the literature on the subject.

[Gallbladder carcinoma--results of treatment].

One-hundred patients treated for gallbladder carcinoma in the years 1970-1986 are described. They accounted for 2.63% of all patients treated surgically for diseases of the gallbladder and bile ducts.