Mathematics Department, Tulane University, 6823 St. Charles Ave., New Orleans, LA 70118, USA.
Bull Math Biol. 2010 Nov;72(8):1925-46. doi: 10.1007/s11538-010-9516-5. Epub 2010 Feb 19.
CatSpers are calcium (Ca(2+)) channels that are located along the principal piece of mammalian sperm flagella and are directly linked to sperm motility and hyperactivation. It has been observed that Ca(2+) entry through CatSper channels triggers a tail to head Ca(2+) propagation in mouse sperm, as well as a sustained increase of Ca(2+) in the head. Here, we develop a mathematical model to investigate this propagation and sustained increase in the head. A 1-d reaction-diffusion model tracking intracellular Ca(2+) with flux terms for the CatSper channels, a leak flux, and plasma membrane Ca(2+) clearance mechanism is studied. Results of this simple model exhibit tail to head Ca(2+) propagation, but no sustained increase in the head. Therefore, in this model, a simple plasma membrane pump-leak system with diffusion in the cytosol cannot account for these experimentally observed results. It has been proposed that Ca(2+) influx from the CatSper channels induce additional Ca(2+) release from an internal store. We test this hypothesis by examining the possible role of Ca(2+) release from the redundant nuclear envelope (RNE), an inositol 1,4,5-trisphosphate (IP(3)) gated Ca(2+) store in the neck. The simple model is extended to include an equation for IP(3) synthesis, degradation, and diffusion, as well as flux terms for Ca(2+) in the RNE. When IP(3) and the RNE are accounted for, the results of the model exhibit a tail to head Ca(2+) propagation as well as a sustained increase of Ca(2+) in the head.
猫须蛋白是钙 (Ca(2+)) 通道,位于哺乳动物精子鞭毛的主段上,与精子的运动和超激活直接相关。已经观察到,通过 CatSper 通道的 Ca(2+) 内流触发了小鼠精子尾部到头部的 Ca(2+) 传播,以及头部 Ca(2+) 的持续增加。在这里,我们开发了一个数学模型来研究这种头部的传播和持续增加。研究了一个一维的反应扩散模型,该模型用 CatSper 通道的通量项、泄漏通量和质膜 Ca(2+) 清除机制来跟踪细胞内 Ca(2+)。这个简单模型的结果显示了尾部到头部的 Ca(2+) 传播,但头部没有持续增加。因此,在这个模型中,一个简单的质膜泵漏系统与细胞质中的扩散不能解释这些实验观察到的结果。已经提出,CatSper 通道的 Ca(2+) 内流诱导来自内部储存器的额外 Ca(2+) 释放。我们通过检查冗余核膜 (RNE) 中 Ca(2+) 释放的可能作用来检验这个假设,RNE 是颈部中的一种肌醇 1,4,5-三磷酸 (IP(3)) 门控 Ca(2+) 储存器。简单模型扩展到包括 IP(3) 合成、降解和扩散的方程,以及 RNE 中 Ca(2+) 的通量项。当考虑到 IP(3) 和 RNE 时,模型的结果显示了尾部到头部的 Ca(2+) 传播以及头部 Ca(2+) 的持续增加。