Predicting spiral wave patterns from cell properties in a model of biological self-organization.

Predicting spiral wave patterns from cell properties in a model of biological self-organization.
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根据生物自组织模型中的细胞特性预测螺旋波模式。

DOI:
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发表时间:
2008
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
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通讯作者:
M. Hütt
M. Hütt
中科院分区:
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文献类型:
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作者:
Daniel Geberth;M. Hütt

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在许多生物系统中,生物变异性(即系统组成部分之间的系统差异)在形成自组织模式方面的重要性可以预期超过统计波动。原则上,单元素属性的分布应该允许预测这种模式的特征。对于一个典型的和被充分研究过的模式形成过程的数学模型,在粘菌盘状盘状体菌落中cAMP信号的螺旋波,我们探索了这种可能性,并观察到螺旋波和细胞特性(即放电速率)之间明显的反相关,特别是在没有自发放电(起搏器)细胞的区域中螺旋波尖端的聚集。此外,我们观察到螺旋手性分布的局部不均匀性,这也是由起搏器分布引起的。我们证明这些发现可以用一个简单的螺旋波产生的几何模型来解释。
In many biological systems, biological variability (i.e., systematic differences between the system components) can be expected to outrank statistical fluctuations in the shaping of self-organized patterns. In principle, the distribution of single-element properties should thus allow predicting features of such patterns. For a mathematical model of a paradigmatic and well-studied pattern formation process, spiral waves of cAMP signaling in colonies of the slime mold Dictyostelium discoideum, we explore this possibility and observe a pronounced anticorrelation between spiral waves and cell properties (namely, the firing rate) and particularly a clustering of spiral wave tips in regions devoid of spontaneously firing (pacemaker) cells. Furthermore, we observe local inhomogeneities in the distribution of spiral chiralities, again induced by the pacemaker distribution. We show that these findings can be explained by a simple geometrical model of spiral wave generation.
DOI: 10.1073/pnas.0601909103
发表时间: 2006-08-01
影响因子: 11.1
作者:
Samadani, Azadeh;Mettetal, Jerome;van Oudenaarden, Alexander
通讯作者: van Oudenaarden, Alexander