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In circadian rhythm generation,intercellular signaling factors are shown to play a crucial role in both sustaining intrinsic cellular rhythmicity and acquiring collective behaviours across a population of circadian neurons.However,the physical mechanism behind their role remains to be fully understood.In this paper,we propose an indirectly coupled multicellular model for the synchronization of Drosophila circadian oscillators combining both intracellular and intercellular dynamics.By simulating different experimental conditions,we find that such an indirect coupling way can synchronize both heterogeneous self-sustained circadian neurons and heterogeneous mutational damped circadian neurons.Moreover,they can also be entrained to ambient light-dark(LD) cycles depending on intercellular signaling. 相似文献
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In this paper we first discuss the asymptotic behaviours of solitary impulses in reaction-diffusion equations of Oregonator under the equal, single and double diffusion conditions, respectively. Then we obtain the asymptotic equations of motion of wavetrains for this model by a superposition of solitary impulses, and finally we analyse the stability of wavetrains. 相似文献
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In this paper,various waves in the Oregonator model are investigated in detail.The existence of planar waves(in particular,spiral waves)is rigorously proven and their linear stability is analysed.In addition,some non-planar waves in the model are also presented. 相似文献
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EXPLICIT REPRESENTATION OF PLANAR WAVE SPEED AND DISPERSIVE RELATION IN GENERAL EXCITABLE MEDIA 下载免费PDF全文
We transform the problem of seeking the planar wave speed in general excitable media into a cubically algbraic equation, thus we can find the explicit representation of the planar wave speed (in one-dimensional case, the traveling wave speed) and dispersive relation. Especially for a few typical excitable media, we give the formula for calculating the corresponding wave speed. 相似文献
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激励介质中波的运动方程 总被引:1,自引:0,他引:1
本文从数学方面,建立了一种运动坐标系,运用摄动方法,得到了二维,三维激励介质中波的运动方程,它为研究激励介质中各种波形解奠定了基础,也给进一步进行理论分析带来了方便。 相似文献
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本文同了耦合俄勒冈振子下列研究结果:(1)均匀正定态的存在唯一性;(2)耦合振子与单个振子特征值之间的关系;(3)相内解的存在性。 相似文献