Department of Mathematics, Loyola Marymount University, Los Angeles, Calif., USA.
Circ Res. 2010 May 28;106(10):1582-91. doi: 10.1161/CIRCRESAHA.109.213975. Epub 2010 Apr 8.
Intracellular calcium (Ca) alternans has been widely studied in cardiac myocytes and tissue, yet the underlying mechanism remains controversial.
In this study, we used computational modeling and simulation to study how randomly occurring Ca sparks interact collectively to result in whole-cell Ca alternans.
We developed a spatially distributed intracellular Ca cycling model in which Ca release units (CRUs) are locally coupled by Ca diffusion throughout the myoplasm and sarcoplasmic reticulum (SR) network. Ca sparks occur randomly in the CRU network when periodically paced with a clamped voltage waveform, but Ca alternans develops as the pacing speeds up. Combining computational simulation with theoretical analysis, we show that Ca alternans emerges as a collective behavior of Ca sparks, determined by 3 critical properties of the CRU network from which Ca sparks arise: "randomness" (of Ca spark activation), "refractoriness" (of a CRU after a Ca spark), and "recruitment" (Ca sparks inducing Ca sparks in adjacent CRUs). We also show that the steep nonlinear relationship between fractional SR Ca release and SR Ca load arises naturally as a collective behavior of Ca sparks, and Ca alternans can occur even when SR Ca is held constant.
We present a general theory for the mechanisms of intracellular Ca alternans, which mechanistically links Ca sparks to whole-cell Ca alternans, and is applicable to Ca alternans in both physiological and pathophysiological conditions.
细胞内钙(Ca)交替已经在心肌细胞和组织中得到了广泛研究,但潜在的机制仍存在争议。
在这项研究中,我们使用计算建模和模拟来研究随机发生的 Ca 火花如何集体相互作用导致整个细胞的 Ca 交替。
我们开发了一个空间分布的细胞内 Ca 循环模型,其中 Ca 释放单元(CRU)通过 Ca 扩散在整个细胞质和肌浆网(SR)网络中局部偶联。当用夹压电压波形周期性起搏时,CRU 网络中会随机发生 Ca 火花,但随着起搏速度的加快,Ca 交替会发展。通过计算模拟与理论分析相结合,我们表明 Ca 交替是 Ca 火花集体行为的结果,由产生 Ca 火花的 CRU 网络的 3 个关键特性决定:“随机性”(Ca 火花激活的随机性)、“不应期”(CRU 在 Ca 火花后的不应期)和“募集”(Ca 火花在相邻 CRU 中诱导 Ca 火花)。我们还表明,SR Ca 释放的分数与 SR Ca 负荷之间的陡峭非线性关系是 Ca 火花集体行为的自然结果,即使 SR Ca 保持不变,Ca 交替也可能发生。
我们提出了一个细胞内 Ca 交替机制的一般理论,该理论将 Ca 火花与整个细胞的 Ca 交替在机制上联系起来,适用于生理和病理生理条件下的 Ca 交替。