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Based on a modified intracellular Ca^2+ model involving diffusive coupling of two calcium ion channel dusters, the effects of coupling on calcium signalling are numerically investigated. The simulation results indicate that the diffusive coupling of dusters together with internal noise determine the calcium dynamics of single duster, and for either homogeneous or heterogeneous coupled dusters, the synchronization of dusters, which is important to calcium signalling, is enhanced by the coupling effect. 相似文献
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Based on a deterministic cell cycle model of fission yeast, the effects of the finite cell size on the cell cycle regulation in wee1- cdc25△ double mutant type are numerically studied by using of the chemical Langevin equations. It is found that at a certain region of cell size, our numerical results from the chemical Langevin equations are in good qualitative agreement with the experimental observations. The two resettings to the G2 phase from early stages of mitosis can be induced under the moderate cell size. The quantized cycle times can be observed during such a cell size region. Therefore, a coarse estimation of cell size is obtained from the mesoscopic stochastic cell cycle model. 相似文献
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研究了一类参数时变的反应扩散系统中螺旋波和湍流对外电场的响应问题.在数值模拟中,以一类改进的Fitzhugh-Nagumo模型为研究对象(在恰当参数值下可分别描述激发介质和振荡介质),考虑随机和不确定因素(如内外噪声、气压、温度梯度分布和介质形变等)所引起的系统参数涨落对斑图演化的影响,在模拟中选取的参数涨落范围确保系统可以观测到稳定旋转的螺旋波、漫游的螺旋波和湍流,经历一定的暂态过程后,对介质施加极化电场,研究螺旋波和湍流在外电场中的演化.数值计算结果表明:在系统参数发生涨落和外电场强度比较小情况下,主
关键词:
螺旋波
湍流
时变系统
Fitzhugh-Nagumo模型 相似文献
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In this paper, the evolution of the pattern transition induced by the vortical electric field (VEF) is investigated. Firstly, a scheme is suggested to generate the VEF by changing the spatial magnetic field. Secondly, the VEF is imposed on the whole medium, and the evolutions of the spiral wave and the spatiotemporal chaos are investigated by using the numerical simulation. The result confirms that the drift and the breakup of the spiral wave and the new net-like pattern are observed when different polarized fields are imposed on the whole medium respectively. Finally, the pattern transition induced by the polarized field is discussed theoretically. 相似文献
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The effect of change in concentration of messenger molecule inositol
1,4,5-trisphosphate (IPspiral wave, Ca$^{2 + }$,
IPspiral wave, Ca$^{2 + }$,
IP$_{3}$ Project supported by the National
Natural Science Foundation of China (Grant Nos 10575041 and
10747005) 0545 The effect of change in concentration of messenger molecule inositol
1,4,5-trisphosphate (IP$_{3})$ on intracellular Ca$^{2 + }$spiral
pattern evolution is studied numerically. The results indicate that
when the IP$_{3}$ concentration decreases from 0.27\,$\mu $M, a
physiologically reasonable value, to different values, the spiral
centre drifts to the edge of the medium and disappears for a small
enough IP$_{3}$ concentration. The instability of spiral pattern can
be understood in terms of excitability-change controlled by the
IP$_{3}$ concentration. On the other hand, when the IP$_{3}$
concentration increases from 0.27\,$\mu $M, a homogeneous area with
a high Ca$^{2 + }$ concentration emerges and competes with the
spiral pattern. A high enough IP$_{3}$ concentration can lead the
homogeneous area to occupy the whole medium. The instability of
spiral pattern is ascribed to the change in stability of a
stationary state with a high Ca$^{2 + }$ concentration. 相似文献
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