title: The flux model of the movement of tumor cells and healthy cells using a system of nonlinear heat equations.
abstract: The interaction model is deduced from the concept of the flux motion of heat transfer, and the movement is constrained by space limitation. Furthermore, we analyze the model to obtain the behavior of two-cell populations at time close to initial state and far into the future.
authors.affiliation: Department of Mathematical Sciences, National Chengchi University, Taipei, Taiwan.
authors.forename: Meng-Rong
authors.initials: MR
authors.lastname: Li
authors.forename: Yu-Ju
authors.initials: YJ
authors.lastname: Lin
authors.forename: Tzong-Hann
authors.initials: TH
authors.lastname: Shieh
mesh_terms: D002450:Cell Communication; D045744:Cell Line, Tumor; D002465:Cell Movement; D006358:Hot Temperature; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000473:pathology*; D017711:Nonlinear Dynamics