Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy

Journal article

We use a novel “inverse problem” technique to construct a basic mathematical model of the interacting populations at the tumor-host interface. This approach assumes that invasive cancer is a solution to the set of state equations that govern the interactions of transformed and normal cells. By considering the invading tumor edge as a traveling wave, the general form of the state equations can be inferred. The stability of this traveling wave solution imposes constraints on key biological quan...

Expand abstract

Authors: Gatenby, R; Maini, P; Gawlinski, E

• Publication date: 2002-01-01