Cell population balance, ensemble and continuum modeling frameworks: Conditional equivalence and hybrid approaches
Cell population balance, ensemble and continuum modeling frameworks: Conditional equivalence and hybrid approaches
复制标题
细胞群平衡、集成和连续体建模框架：条件等价和混合方法
DOI：
10.1016/j.ces.2009.09.054
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发表时间：
2010
影响因子：
4.7
通讯作者：
M. Stamatakis
中科院分区：
文献类型：
--
作者：
M. Stamatakis
细胞群体平衡、系综和连续统模型框架被广泛用于微生物群体的数学描述。这些方法中的每一种都侧重于生长、分裂和细胞内反应发生过程的不同方面。因此，每个框架可以以不同的计算代价输出不同的信息。连续统模型假设集总生物量，捕获大量细胞内浓度的动态，并且易于模拟。由于不同的初始条件或动力学常数，Enhancement模型考虑了异质性，并且在计算上更昂贵。最后，细胞群体平衡详细捕获了细胞内内容物的分配，但随着考虑的生化物质数量的增加，细胞群体平衡很快就会变得棘手。因此，人们自然会问，是否可以用更简单的方法充分模拟细胞群。在本文中，从一个（n+1）的细胞群体平衡，为n个生化物种和细胞体积，我们调查生物学上合理的条件下，两个确切的混合模型。假设条件成立，两种混合模型都是精确的，但更简单的细胞群体平衡的替代方案;不涉及近似。在第一种情况下，物种浓度的演变被捕获的系综模型，并在第二个连续模型。这两种混合模型还包含细胞体积的1维群体平衡。这项工作应该提供一个指导方针，选择建模方法，这是最适合的特定应用程序。
The cell population balance, ensemble and continuum modeling frameworks are widely used for the mathematical description of microbial populations. Each of these approaches focuses on different aspects of the processes of growth, division and intracellular reaction occurrence. Therefore, each framework can output different information at different computational expense. Continuum models assume lumped biomasses, capture the dynamics of bulk intracellular concentrations and are easy to simulate. Ensemble models account for heterogeneity due to different initial conditions or kinetic constants, and are more computationally expensive. Finally, cell population balances capture the partitioning of the intracellular contents in detail, but can quickly become intractable, as the number of biochemical species taken into consideration increases. It is thus natural to ask whether one can adequately simulate cell populations with a simpler approach. In this paper, starting from an (n+1) cell population balance, for n biochemical species and the cell volume, we investigate biologically plausible conditions, under which two exact hybrid models are derived. Provided that the conditions hold true, both hybrid models are exact but much simpler alternatives of the cell population balance; no approximation is involved. In the first, the evolution of the species concentrations is captured by an ensemble model, and in the second by a continuum model. Both hybrid models also contain a 1-dimensional population balance for the cell volume. This work should provide a guideline for choosing the modeling approach which is the most appropriate for the particular application.
异质细胞群动态的随机和确定性模拟。
影响因子：
2
作者：
Mantzaris,NikosV
通讯作者：
Mantzaris,NikosV