应用数学哲学博士-数学医学和生物学

在应用数学学科中，数学在医学中的应用是一个令人兴奋的新颖研究领域。这项研究的一方面
Modern society has been shaped by a long tradition of mutual inspiration and enrichment between Mathematics and the Sciences. In this tradition, the Department of Applied Mathematics offers its graduate students opportunities for study in the areas of Control Theory and Dynamical Systems, Fluid Mechanics, Mathematical Medicine and Biology, Mathematical Physics, and Scientific Computation. Our students' research projects involve cutting-edge applications of mathematical theory in a broad range of fundamental and applied sciences. These applications include, for instance, cancer therapy optimization, control of shape memory alloys, fractal image processing, quantum computing, and the study of climate variability, inflationary cosmology, and nanotechnology. The Department of Applied Mathematics is one of five units that comprise the Faculty of Mathematics at the University of Waterloo, which was ranked 20th worldwide in the 2015 QS University Rankings for mathematics. Graduate students in the department benefit from our close links with the Faculties of Science and Engineering, the Centre for Mathematical Medicine, the Centre for Theoretical Neuroscience, the Institute for Quantum Computing, the Perimeter Institute for Theoretical Physics, the Waterloo Institute for Nanotechnology, the Water Institute, and the Centre for Computational Mathematics in Industry and Commerce. We offer both Master's and PhD programs. Our thesis-based Master's of Mathematics (MMath) program normally takes two years to complete. Many of the graduates of this program subsequently pursue PhD degrees, others are successful in obtaining rewarding positions in industry or government. Our PhD program generally takes four years to complete. Most of our PhD graduates find employment in university research. Others take on positions in research and development in industry, government, or commerce. <br><br>The application of mathematics to medicine is an exciting and novel area of research within the discipline of Applied Mathematics. One aspect of this research, in which our department is actively involved, is the creation of mathematical models of various disease processes, taking into account the interactions between the different components of the complex biological system that underlies the process. This research has two main goals. Firstly, one hopes to increase our understanding of the onset of the disease and of how it progresses. Secondly, one hopes that the mathematical analysis of the available treatment strategies will enable one to identify one that is optimal in each situation.