Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth.

Effect of heterogeneous structure in mechanically unstressed biofilms on overall growth.
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机械无应力生物膜中的异质结构对整体生长的影响。

DOI:
10.1016/j.bulm.2003.11.008
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发表时间:
2004
期刊:
Bulletin of mathematical biology.
影响因子:
--
通讯作者:
Klapper,I
Klapper,I
中科院分区:
--
文献类型:
--
作者:
Klapper,I

文献摘要

相似文献

与其名称相反,生物膜并不总是平坦和均匀的,而是经常表现出复杂的结构异质性。有人建议,选择非均匀的几何形状,以增加生物膜的生长速率。先前的研究(Dockery和Klapper(2002)SIAM J. Appl. Math.,62,853-869)证明,在某些情况下,平坦的生物膜-主体流体界面对于由于生长诱导力引起的扰动是线性不稳定的。计算表明,随后的非线性演化的结果在手指和蘑菇的生物膜中观察到的实际生物膜的结构相似。然而,没有考虑生物功能性这一重要的补充问题。这里,Dockery和Klapper(2002,SIAM J. Appl. Math.,62,853-869)。有人认为,至少在没有外部机械应力的生物膜的情况下,整体增长实际上通常被线性阶段中的增长扰动的存在所抑制。因此,有必要对功能进行更复杂的解释。
In contrast to their name, biofilms are not always flat and homogeneous but instead often exhibit complex structural heterogeneity. It has been suggested that nonhomogeneous geometry is selected in order to increase biofilm growth rate. A previous study (Dockery and Klapper (2002)SIAM J. Appl. Math.,62, 853–869) of a model biofilm system in a static bulk fluid demonstrated that under some circumstances a flat biofilm-bulk fluid interface is linearly unstable to perturbation due to growth induced forces. Computations indicated that subsequent nonlinear evolution results in fingers and mushrooms of biofilm similar to structures observed in actual biofilms. However, the important complementary issue of biological functionality was not considered. Here a weakly nonlinear analysis of the simple growing biofilm layer model in Dockery and Klapper (2002,SIAM J. Appl. Math.,62, 853–869) is presented. It is argued that, at least in the case of biofilms free of external mechanical stress, overall growth is in fact generally inhibited by the presence of growing perturbations in the linear stage. Hence a more complex explanation of function is necessary.