title: Necrotic tumor growth: an analytic approach.
abstract: The present paper deals with a free boundary problem modeling the growth process of necrotic multi-layer tumors. We prove the existence of flat stationary solutions and determine the linearization of our model at such an equilibrium. Finally, we compute the solutions of the stationary linearized problem and comment on bifurcation.
authors.affiliation: Peter L. Reichertz Institute for Medical Informatics, University of Braunschweig, 38106, Braunschweig, Germany. martin.kohlmann@plri.de
authors.forename: Martin
authors.initials: M
authors.lastname: Kohlmann
mesh_terms: D049109:Cell Proliferation; D006801:Humans; D016014:Linear Models; D055641:Mathematical Concepts; D008954:Models, Biological; D009336:Necrosis; D009369:Neoplasms / Q000473:pathology*