Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold
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DOI：
10.1007/s00285-006-0067-1
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发表时间：
2007-01
影响因子：
1.9
通讯作者：
Hiroyasu Yamada;Toshiyuki Nakagaki;Ruth E Baker;P. K. Maini
中科院分区：
文献类型：
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作者：
Hiroyasu Yamada;Toshiyuki Nakagaki;Ruth E Baker;P. K. Maini
在大型变形虫生物绒泡菌中，生化振荡器在空间上分布在整个生物体中，它们的集体运动表现出携带生理信号的相位波。这种波行为的基本性质还没有得到很好的理解，因为迄今为止，一个重要的效应被忽视了，即伴随生化节律的原生质穿梭流动。本文通过色散关系的数值模拟和相方程的弱非线性分析，研究了自洽流对物理疟原虫振荡反应扩散模型波动行为的影响。我们的结论是，流动项能够增加相波的速度（类似于波长的伸长）。我们比较的理论结果与真实的波在生物体中观察到的，也指出了这些影响细胞内通信的控制机制的生理作用。
In the large amoeboid organismPhysarum, biochemical oscillators are spatially distributed throughout the organism and their collective motion exhibits phase waves, which carry physiological signals. The basic nature of this wave behaviour is not well-understood because, to date, an important effect has been neglected, namely, the shuttle streaming of protoplasm which accompanies the biochemical rhythms. Here we study the effects of self-consistent flow on the wave behaviour of oscillatory reaction-diffusion models proposed for thePhysarumplasmodium, by means of numerical simulation for the dispersion relation and weakly nonlinear analysis for derivation of the phase equation. We conclude that the flow term is able to increase the speed of phase waves (similar to elongation of wave length). We compare the theoretical consequences with real waves observed in the organism and also point out the physiological roles of these effects on control mechanisms of intracellular communication.