An age-and-cyclin-structured cell population model for healthy and tumoral tissues
An age-and-cyclin-structured cell population model for healthy and tumoral tissues
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DOI：
10.1007/s00285-007-0147-x
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发表时间：
2008-07-01
影响因子：
1.9
通讯作者：
Perthame, Benoit
中科院分区：
文献类型：
--
作者：
Brikci, Fadia Bekkal;Clairambault, Jean;Perthame, Benoit
我们提出了一个非线性模型的动态细胞群分为增殖和静止的车厢。增殖期代表了一个群体的完整细胞周期（G（1）-S-G（2）-M），该群体在其末期致力于分裂。该模型由细胞在增殖期所花费的时间和细胞周期蛋白D/（CDK 4或6）复合物的量构成。细胞可以从一个隔室转移到另一个隔室，遵循根据组织状态而不同的转移规则：健康或肿瘤。在两种情况下，表现出组织稳态或肿瘤指数增长的非线性模型的解决方案的渐近行为进行了分析。该模型进行了模拟，其解析预测证实了数值。
We present a nonlinear model of the dynamics of a cell population divided into proliferative and quiescent compartments. The proliferative phase represents the complete cell cycle (G (1)-S-G (2)-M) of a population committed to divide at its end. The model is structured by the time spent by a cell in the proliferative phase, and by the amount of Cyclin D/(CDK4 or 6) complexes. Cells can transit from one compartment to the other, following transition rules which differ according to the tissue state: healthy or tumoral. The asymptotic behaviour of solutions of the nonlinear model is analysed in two cases, exhibiting tissue homeostasis or tumour exponential growth. The model is simulated and its analytic predictions are confirmed numerically.