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Spatial Quantification of Cytosolic Ca$^{2+}$ Accumulation in Nonexcitable Cells:An Analytical Study

机译:非可活化细胞中胞质Ca $ ^ {2 +} $积累的空间定量分析研究

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Calcium ions act as messengers in a broad range of processes such as learning, apoptosis, and muscular movement. The transient profile and the temporal accumulation of calcium signals have been suggested as the two main characteristics in which calcium cues encode messages to be forwarded to downstream pathways. We address the analytical quantification of calcium temporal-accumulation in a long, thin section of a nonexcitable cell by solving a boundary value problem. In these expressions we note that the cytosolic Ca$^{2+}$ accumulation is independent of every intracellular calcium flux and depends on the Ca$^{2+}$ exchange across the membrane, cytosolic calcium diffusion, geometry of the cell, extracellular calcium perturbation, and initial concentrations. In particular, we analyse the time-integrated response of cytosolic calcium due to i) a localised initial concentration of cytosolic calcium and ii) transient extracellular perturbation of calcium. In these scenarios, we conclude that i) the range of calcium progression is confined to the vicinity of the initial concentration, thereby creating calcium microdomains; and ii) we observe a low-pass filtering effect in the response driven by extracellular Ca$^{2+}$ perturbations. Additionally, we note that our methodology can be used to analyse a broader range of stimuli and scenarios.
机译:钙离子在广泛的过程中充当信使,例如学习,细胞凋亡和肌肉运动。钙信号的瞬时分布和时间积累已被建议为两个主要特征,其中钙线索编码信息以转发给下游途径。我们通过解决一个边值问题解决了钙在非激励单元的长而薄的区域中的时间累积的定量分析。在这些表达式中,我们注意到胞质Ca $ ^ {2 +} $的积累与每个细胞内钙通量无关,并且取决于整个膜上Ca $ ^ {2 +} $的交换,胞质钙的扩散,细胞的几何形状,细胞外钙的摄动和初始浓度。特别是,我们分析了由于以下原因引起的胞质钙的时间积分响应:i)胞质钙的局部初始浓度和ii)钙的瞬时细胞外扰动。在这些情况下,我们得出以下结论:i)钙进展的范围被限制在初始浓度附近,从而产生钙微区; ii)在细胞外Ca $ ^ {2 +} $扰动驱动的响应中观察到低通滤波效果。此外,我们注意到,我们的方法可用于分析更广泛的刺激和情景。

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