Multiscale Computer Modeling in Biomechanics and Biomedical Engineering

Multiscale Computer Modeling in Biomechanics and Biomedical Engineering
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生物力学和生物医学工程中的多尺度计算机建模

DOI:
10.1007/8415_2012_155
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发表时间:
2013
期刊:
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影响因子:
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通讯作者:
Jabbari S
Jabbari S
中科院分区:
--
文献类型:
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作者:
Jabbari S

文献摘要

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在亚细胞(基因调控过程)、细胞(相邻细胞之间的相互作用)和群体(信号分子运输)尺度上的相互作用效应通过简单的多尺度模型被举例和探索。特别关注的是少数离散细胞的上调(或下调)如何影响整个种群的行为,通过研究正向自动调节的玩具模型,以及通过模拟更详细的革兰氏阳性细菌种群内的群体感应模型。在一些模型反应扩散时滞方程中,通过对爆破行为的分析,研究了与基因表达相关的延迟的含义,作为通过正反馈上调的数学症状。
The interacting effects operating on subcellular (gene regulatory processes), cellular (interactions between neighbouring cells) and population (signalling molecule transport) scales are exemplified and explored through simple multiscale models. Specific attention is focused on how the upregulation (or downregulation) of small numbers of discrete cells can influence the behaviour of the population as a whole, by investigating toy models for positive autoregulation and by the simulation of a much more detailed model for quorum sensing within a Gram-positive population of bacteria. The implications for delays associated with gene expression are also investigated in a spatio-temporal context through the analysis of blow-up behaviour, as a mathematical symptom of upregulation through positive feedback, in some model reaction-diffusion delay equations.