A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria
A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria
复制标题
模拟线粒体肿胀的常微分方程和偏微分方程耦合系统
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Sabine Eisenhofer
中科院分区：
文献类型：
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作者：
Sabine Eisenhofer
线粒体肿胀对多细胞生物有巨大的影响，因为它触发细胞凋亡，程序性细胞死亡。在这篇论文中，我们提出了一个新的数学方法来模拟这种现象。作为一种新奇，它包括空间效应，这是非常重要的体内过程。我们的模型认为三个线粒体亚群的肿胀程度不同。这些群体的演变是依赖于目前的钙浓度，并描述了一个系统的常微分方程，而钙传播的反应扩散方程，考虑到空间效应建模。在这里，我们研究的情况下，非退化和退化扩散和分析导出的模型的存在性和长期的行为的解决方案。
Mitochondrial swelling has huge impact to multicellular organisms since it triggers apoptosis, the programmed cell death. In this thesis we present a new mathematical approach to model this phenomenon. As a novelty it includes spatial effects, which are of great importance for the in vivo process. Our model considers three mitochondrial subpopulations varying in the degree of swelling. The evolution of these groups is dependent on the present calcium concentration and is described by a system of ODEs, whereas the calcium propagation is modeled by a reaction-diffusion equation taking into account spatial effects. Here we study both the case of non-degenerate and degenerate diffusion and analyze the derived model with respect to existence and long-time behavior of solutions.
影响因子：
3.4
作者：
Schulz, Sabine;Schmitt, Sabine;Zischka, Hans
通讯作者：
Zischka, Hans