Mathematical Modeling of Atherosclerosis, Cancer and Diabetes

Diabetes, atherosclerosis and cancer are the three diseases that contribute to most morbidity and mortality in the world. Mathematical Modeling of Atherosclerosis, Cancer and Diabetes: Analysis and Simulation provides state of art mathematical models describing the dynamical behaviour of these three diseases, focussing not only on numerical simulations, but also on the mathematical analysis of the models themselves. Mathematical analysis in this context means rigorously studying some theoretical issues such as the ‘well-posedness’ of the models, steady solutions and their stability and asymptotical behaviour of the solutions. The book is aimed at professional mathematical analysts, applied mathematicians, biophysicists and biomedical engineers. The book can be used to teach graduate students, while it should be valuable reference for researchers in mathematical biology, dynamical systems, PDEs and stochastic differential equations.FeaturesCollects the most recent research on both mathematical analysis and numerical simulation of mathematical models for diabetes, atherosclerosis and cancerIncludes both analysis and simulation of stochastic models for the diseasesProvides a self-contained review of dynamical systems, partial differential equations and stochastic differential equationsSoftware code for readers who wish to practice data any one of the existing models. The code is available in the programming languages of MATLAB, and/or Python.