Mathematical biomedicine is a rapidly developing interdisciplinary field of research that
connects the natural and exact sciences in an attempt to respond to the modeling and simulation
challenges raised by biology and medicine. There exist a large number of mathematical methods
and procedures that can be brought in to meet these challenges and this book presents a palette
of such tools ranging from discrete cellular automata to cell population based models described
by ordinary differential equations to nonlinear partial differential equations representing
complex time- and space-dependent continuous processes. Both stochastic and deterministic
methods are employed to analyze biological phenomena in various temporal and spatial settings.
This book illustrates the breadth and depth of research opportunities that exist in the general
field of mathematical biomedicine by highlighting some of the fascinating interactions that
continue to develop between the mathematical and biomedical sciences. It consists of five parts
that can be read independently but are arranged to give the reader a broader picture of
specific research topics and the mathematical tools that are being applied in its modeling and
analysis. The main areas covered include immune system modeling blood vessel dynamics cancer
modeling and treatment and epidemiology. The chapters address topics that are at the forefront
of current biomedical research such as cancer stem cells immunodominance and viral epitopes
aggressive forms of brain cancer or gene therapy. The presentations highlight how mathematical
modeling can enhance biomedical understanding and will be of interest to both the mathematical
and the biomedical communities including researchers already working in the field as well as
those who might consider entering it. Much of the material is presented in a way that gives
graduate students and young researchers a starting point for their own work.
