Necrotic tumor growth: an analytic approach
Martin Kohlmann
TL;DR
This paper models necrotic tumor growth using a free boundary problem, proving existence of stationary solutions, analyzing their stability, and exploring bifurcation phenomena to understand tumor development dynamics.
Contribution
It introduces an analytic framework for necrotic tumor growth, establishing existence, linearization, and bifurcation analysis of stationary solutions.
Findings
Existence of flat stationary solutions confirmed.
Linearization at equilibrium characterized.
Bifurcation points identified and analyzed.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.