Aspects of computational bio-mathematics. (Notes based on a course given by Prof. E. H. Twizell at the Univ. of Coimbra in September 1999 and compiled by P. M. Rosa) (Q2737794)

The notes are a detailed preparation of a course on aspects of computational biomathematics involving differential equations and their solutions. At first a short introduction into the field of dynamical systems on the base of ordinary differential systems is given explaining different concepts of stability at critical points and convergence. The following five chapters then discuss special applications of population dynamics:NEWLINENEWLINENEWLINE(i) A tumor growth model (one type process); (ii) A 2-type diabetes population model with special focus on stability; (iii) the SEIR model of measles dynamics; (iv) a morphogenesis model considering a continuous ring of tissue; and finally (v) a diffusion model approach for percutaneous drug absorption.NEWLINENEWLINENEWLINENumerical experiments and examples show how to use the models presented.