A Multiscale Approach to the Migration of Cancer Stem Cells: Mathematical Modelling and Simulations
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- 作者：Nikolaos Sfakianakis ; Niklas Kolbe ; Nadja Hellmann…
- 关键词：Cancer stem cell invasion ; Extracellular matrix ; Epidermal growth factor receptors ; Epithelial mesenchymal transition
- 刊名：Bulletin of Mathematical Biology
- 出版年：2017
- 出版时间：January 2017
- 年：2017
- 卷：79
- 期：1
- 页码：209-235
- 全文大小：
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematical and Computational Biology; Life Sciences, general; Cell Biology;
- 出版者：Springer US
- ISSN：1522-9602
- 卷排序：79
文摘
We propose a multiscale model for the invasion of the extracellular matrix by two types of cancer cells, the differentiated cancer cells and the cancer stem cells. We investigate the epithelial mesenchymal-like transition between them being driven primarily by the epidermal growth factors. We moreover take into account the transdifferentiation program of the cancer stem cells towards the cancer-associated fibroblast cells as well as the fibroblast-driven remodelling of the extracellular matrix. The proposed haptotaxis model combines the macroscopic phenomenon of the invasion of the extracellular matrix by both types of cancer cells with the microscopic dynamics of the epidermal growth factors. We analyse our model in a component-wise manner and compare our findings with the literature. We investigate pathological situations regarding the epidermal growth factors and accordingly propose “mathematical-treatment” scenarios to control the aggressiveness of the tumour.