title: Directed cell movement with steric exclusion.
abstract: The space-dependent density of cells is evaluated for the following situation: (i) The cells are forced to make a directed movement (ii) the space for the cellular migration is restricted. The steady state distribution density is obtained when the drift current density equals the diffusion current density. The analogy to the Boltzmann statistics is shown. In a further step the cellular volume is introduced. For this case the density distribution is described in analogy to the Fermi statistics. The necrotactic response of granulocytes is used to verify the model.
authors.affiliation: Abteilung für Biophysik, Universität Ulm, Bundesrepublik Deutschland.
authors.forename: H
authors.initials: H
authors.lastname: Gruler
mesh_terms: D000818:Animals; D002448:Cell Adhesion; D002465:Cell Movement; D006098:Granulocytes / Q000502:physiology*; D008433:Mathematics; D008954:Models, Biological; D010587:Phagocytosis