title: Nonlinear diffusion of a growth inhibitory factor in multicell spheroids.
abstract: A mathematical model is presented for the production of a growth inhibitory factor (GIF) within a multicell spheroid. The model is based on the assumption that the GIF diffuses within the spheroid in a nonlinear spatially dependent manner. This is in contrast with previous models, in which the nonlinearity was assumed in the production term. The results of the new model are compared with those of previous models and with experimental data.
authors.affiliation: School of Mathematical Sciences, University of Bath, United Kingdom.
authors.forename: M A
authors.initials: MA
authors.lastname: Chaplain
authors.forename: D L
authors.initials: DL
authors.lastname: Benson
authors.forename: P K
authors.initials: PK
authors.lastname: Maini
mesh_terms: D000818:Animals; D002455:Cell Division; D004058:Diffusion; D006131:Growth Inhibitors / Q000378:metabolism*; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D014407:Tumor Cells, Cultured / Q000378:metabolism* / Q000473:pathology
chemical_list: D006131:Growth Inhibitors