A stochastic particle-field algorithm solves a 3D reaction-diffusion-advection cancer invasion model while preserving positivity and providing error analysis, claimed as the first such 3D solution.
Anderson, A hybrid mathematical model of solid tumour invasion: the importance of cell adhesion,Mathematical medicine and biology: a journal of the IMA.22(2005) 163–186
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A Novel Stochastic Particle-Field Algorithm for a Reaction-Diffusion-Advection Cancer Invasion Model
A stochastic particle-field algorithm solves a 3D reaction-diffusion-advection cancer invasion model while preserving positivity and providing error analysis, claimed as the first such 3D solution.