带有不同活细胞的双层径向肿瘤模型中的时间延迟

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Yuanyuan Liu, Yuehong Zhuang
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引用次数: 0

摘要

本文论述的是充满静止细胞和增殖细胞的双层肿瘤的自由边界问题,其中考虑了细胞增殖的时间延迟。这两类活细胞表现出不同的新陈代谢反应,消耗营养物质的速度和( )不同。时间延迟发生在细胞开始有丝分裂的时间和产生子细胞的时间之间。这个问题被简化为肿瘤半径随时间变化的延迟微分方程,其困难之处在于消耗率函数的跳跃不连续性。我们对这一新模型进行了严谨的分析,并研究了在任何初始条件下全局解的动力学行为。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Time delays in a double‐layered radial tumor model with different living cells
This paper deals with the free boundary problem for a double‐layered tumor filled with quiescent cells and proliferating cells, where time delay in cell proliferation is taken into account. These two types of living cells exhibit different metabolic responses and consume nutrients at different rates and ( ). Time delay happens between the time at which a cell commences mitosis and the time at which the daughter cells are produced. The problem is reduced to a delay differential equation on the tumor radius over time, and the difficulty arises from the jump discontinuity of the consumption rate function. We give rigorous analysis on this new model and study the dynamical behavior of the global solutions for any initial .
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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