Particle methods to solve modelling problems in wound healing and tumor growth

Abstract

The paper deals with a compilation of several of our modelling studies on particle methods used for simulation of wound healing and tumor growth processes. The paper serves as an introduction of our modelling approaches to researchers with interest in biological cell-based models that use particle-based modelling approaches. The particles that we consider in the present models mimic either cells or points on cell boundaries that are allowed to migrate as a result of several chemical and mechanical factors. A distinct feature of our modelling frameworks with respect to conventional particle models, is that cells, mimicked by particles, are allowed to divide, differentiate and to die as a result of apoptosis or any causes for cell death. The paper is merely descriptive, rather than written in full mathematical rigor, and will show some of the potentials of the applied modelling.