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Updated: Jun 14, 2026

Characterization of MLKL-mediated Plasma Membrane Rupture in Necroptosis
Published on: August 7, 2018
Time delay in necrotic core formation
1Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, Warsaw University, ul. Banacha 2, 02-097 Warszawa. mbodnar@mimuw.edu.pl.
Abstract:
A simple model of avascular solid tumor dynamics is studied in the paper. The model is derived on the basis of reaction-diffusion dynamics and mass conservation law. We introduce time delay in a cell proliferation process. In the case studied in this paper, the model reduces to one ordinary functional-differential equation of the form that depends on the existence of necrotic core. We focus on the process of this necrotic core formation and the possible influence of delay on it. Basic mathematical properties of the model are studied. The existence, uniqueness and stability of steady state are discussed. Results of numerical simulations are presented.
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