On kinetic and macroscopic models for the stripe formation in engineered bacterial populations
On kinetic and macroscopic models for the stripe formation in engineered bacterial populations
复制标题
工程细菌群体中条纹形成的动力学和宏观模型
DOI：
10.1016/j.jde.2022.03.035
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发表时间：
2021-08
影响因子：
2.4
通讯作者：
Zhang Yaming
中科院分区：
文献类型：
--
作者：
Jiang Ning;Liang Jiangyan;Luo Yi-Long;Tang Min;Zhang Yaming
We study the well-posedness of the biological models with AHL-dependent cell mobility on engineered Escherichia coli populations. For the kinetic model proposed by Xue-Xue-Tang recently [17], the local existence for large initial data is proved first. Furthermore, the positivity and local conservation laws for density and nutrient concentration with initial assumptions (1.24) and (1.26) are justified. Based on these properties, it can be extended globally in time near the equilibrium (0, 0, 0). Considering the asymptotic behaviors of faster response CheZ turnover rate, one formally derives an anisotropic diffusion engineered Escherichia coli populations model (in short, AD-EECP) for which we find a key extra a priori estimate to overcome the difficulties coming from the nonlinearity of the diffusion structure. The local well-posedness and the positivity and local conservation laws for density and nutrient of the AD-EECP are justified. Furthermore, the global existence around the stable steady-state is obtained.
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DOI：
10.1387/ijdb.072493rb
发表时间：
2009
期刊：
The International journal of developmental biology
影响因子：
--
作者：
Baker RE;Schnell S;Maini PK
通讯作者：
Maini PK
DOI：
10.1038/nrg2697
发表时间：
2009-12
期刊：
Nature reviews. Genetics
影响因子：
--
作者：
通讯作者：
--
DOI：
10.1007/978-3-662-08542-4
发表时间：
2005
期刊：
--
影响因子：
--
作者：
J. M. Hyman;Jia Li
通讯作者：
J. M. Hyman;Jia Li
论Ericksen--Leslie双曲不可压缩液晶模型的适定性
影响因子：
2
作者：
Jiang Ning;Luo Yi-Long
通讯作者：
Luo Yi-Long
影响因子：
8.6
作者：
Fu, Xiongfei;Tang, Lei-Han;Lenz, Peter
通讯作者：
Lenz, Peter