What is mathematical oncology?
Mathematical Oncology intends to describe processes in oncology using the tools and systematization methods of mathematics. This includes mainly mathematical model building and techniques from applied mathematics: differential equations, numerical methods, optimization, etc.
In other fields of Science such as Physics or Engineering, the applied scientists are able to write equations and pose mathematical problems in a language familiar to the Mathematician. However in medicine it is the applied mathematician who has to understand the problem and formulate models in collaboration with biologists and/or clinicians, what mades the field truly interdisciplinary and requires people with a strong interest on applications.
The ultimate goals are to use that knowledge to improve the current treatments of cancer patients and to raise hypothesis that can be tested by clinicians and biologists. Thus unlike pure mathematics that is interested in the abstract objects in themselves we try to generate knowledge of direct applicability in Medicine.