The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca2+ release
The effect of ion pumps on the speed of travelling waves in the fire-diffuse-fire model of Ca2+ release
复制标题
Ca2释放火-扩散-火模型中离子泵对行波速度的影响
DOI：
10.1006/bulm.2000.0193
复制
发表时间：
2001
影响因子：
3.5
通讯作者：
S. Coombes
中科院分区：
文献类型：
--
作者：
S. Coombes
火-扩散-火模型提供了活细胞内Ca 2+释放的理想模型。钙泵的作用是将Ca 2+驱动回内部储存，为了数学上的简单性，它的作用经常被忽略。在这里，我们展示了如何通过扩展Keizer等人的工作[Keizer，J.E.，G. D.史密斯，S。Ponce Dawson和J. Pearson（1998年）。由Ca ~（2+）火花引起的Ca ~（2+）波的跳跃传播。Biophys. J.75，595-600.]。对于行波，其中释放事件顺序发生，我们构建的时间尺度泵操作方面的波的速度。这种分析的直接结果是，包括钙泵导致多种解决方案。线性稳定性分析确定参数空间中稳定的解分支。数值延拓是用来提供明确的例子的分叉图的波的速度作为一个功能的生理重要的系统参数。
The fire-diffuse-fire model provides an idealized model of Ca2+ release within living cells. The effect of calcium pumps, which drive Ca2+ back into internal stores, is often neglected for mathematical simplicity. Here we show how to explicitly analyse such effects by extending the work of Keizer et al. [Keizer, J. E., G. D. Smith, S. Ponce Dawson and J. Pearson (1998). Saltatory propagation of Ca2+ waves by Ca2+ sparks. Biophys. J.75, 595–600.]. For travelling waves, in which release events occur sequentially, we construct the speed of waves in terms of the time-scale at which pumps operate. An immediate consequence of this analysis is that the inclusion of calcium pumps leads to multiple solutions. A linear stability analysis determines those solution branches in parameter space which are stable. Numerical continuation is used to provide explicit examples of the bifurcation diagrams of the speed of waves as a function of physiologically significant system parameters.
DOI：
10.1073/pnas.96.11.6060
发表时间：
1999-05-25
影响因子：
11.1
作者：
Dawson, SP;Keizer, J;Pearson, JE
通讯作者：
Pearson, JE
影响因子：
3.5
作者：
M. S. Jafri;J. Keizer
通讯作者：
M. S. Jafri;J. Keizer