Mathematical Institute, University of Oxford, United Kingdom.
Laboratory of Ecotoxicology, University of Le Havre, Le Havre 76058, France.
J Theor Biol. 2019 Jan 14;461:239-253. doi: 10.1016/j.jtbi.2018.10.040. Epub 2018 Oct 23.
The efflux protein P-glycoprotein (P-gp) is over expressed in many cancer cells and has a known capacity to confer multi-drug resistance to cytotoxic therapies. We provide a mathematical model for the direct cell-to-cell transfer of proteins between cells and the indirect transfer between cells and the surrounding liquid. After a mathematical analysis of the model, we construct an adapted numerical scheme and give some numerical simulations. We observe that we obtain a better fit with the experimental data when we take into account the indirect transfer of the protein released in a dish. This quantity, usually neglected by the experimenters, seems to influence the results.
外排蛋白 P-糖蛋白(P-gp)在许多癌细胞中过度表达,并且已知能够赋予细胞对细胞毒性治疗的多药耐药性。我们提供了一种用于细胞之间直接蛋白质转移和细胞与周围液体之间间接转移的数学模型。对模型进行数学分析后,我们构建了一个适应的数值方案并给出了一些数值模拟。我们观察到,当我们考虑在培养皿中释放的蛋白质的间接转移时,我们可以更好地拟合实验数据。这个通常被实验者忽略的量似乎会影响结果。