ABSTRACT

This conclusion presents some closing thoughts discussed in the preceding chapters of this book. The book has focused primarily on the scientific side of the medical subfield of oncology. Specifically, it explores applications of mathematics, primarily dynamical systems, to cancer biology and treatment. The book has attempted to give readers a glimpse of a few major research threads in the developing field of mathematical oncology, with an emphasis on seminal work, applications to treatment, and biological background and motivations. The general genomics program, as applied to a given species, attempts to generate a consensus sequence for the entire genome of that species, characterize all or most variation in homologous deoxyribonucleic acid (DNA) sequences among individuals, and identifies the function(s) of all functional DNA sequences. Evolution, by definition, is dynamic. Mathematics, including numerical schemes implemented on computers, provides the most powerful tools ever devised by humans to handle the theories of dynamic processes.