Modelling phagocytosis based on cell-cell adhesion and prey-predator relationship

被引:4
作者
Georgiou, F. [1 ]
Thamwattana, N. [1 ]
机构
[1] Univ Newcastle, Sch Math & Phys Sci, Univ Dr, Callaghan, NSW 2308, Australia
关键词
Phagocytosis; Cell-cell adhesion; Prey-predator relationship; Continuum model; Partial differential equation; Stability; Steady state; TISSUE RECONSTRUCTION; DISSOCIATED CELLS; MECHANISM; CANCER; INVASION;
D O I
10.1016/j.matcom.2019.09.019
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Phagocytosis refers to a process in which one cell type fully encloses and consumes unwanted cells, debris or particulate matter. It has an important role in immune systems through the destruction of pathogens and the inhibiting of cancerous cells. In this paper, we combine cell-cell adhesion and predator-prey modelling to generate a new model for phagocytosis that can relate the interaction between cells in both space and time. Stability analysis for both homogeneous and non-homogeneous steady states is provided for one-dimensional model indicating the range of parameters that leads to phagocytosis. Finally, the paper presents numerical results for both one and two-dimensional models, which show excellent agreement with a real phenomenon of bacteria phagocytized by neutrophil cell. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:52 / 64
页数:13
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