Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan.
Deparment of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA, 17403, USA.
Theory Biosci. 2020 Sep;139(3):235-251. doi: 10.1007/s12064-020-00315-5. Epub 2020 Jun 1.
Swimming of spermatozoa through couple stress fluid in an asymmetric human cervical canal is investigated in the present theoretical analysis. A couple of fourth-order partial differential equations arising from the mathematical modelling of the proposed model is solved analytically. Flow variables like pressure gradient, propulsive velocity, mucus velocity and time mean flow rate are analysed for the pertinent parameters. Conspicuous features of the pumping characteristics are explored. It is found that pressure rise facilitates the motion of spermatozoa to fertilize an ovum in the female reproductive tract, whereas pressure drop by inverting the direction of spermatozoa controls the probability of pregnancy. Maximal propulsive velocity of the spermatozoa is reported in the absence of travelling waves along the cervical walls. Minute impact of phase difference on propulsive velocity is evident. An analogy of the current analysis with the existing literature is also made.
本理论分析研究了在不对称的人宫颈管中，精子通过夫妻应激液的游动。从所提出模型的数学建模中得出的一对四阶偏微分方程被解析地求解。分析了相关参数下的流动变量，如压力梯度、推进速度、粘液速度和时间平均流速。探讨了泵送特性的显著特征。结果表明，压力上升有助于精子在女性生殖道中受精卵子，而通过反转精子的方向来降低压力可以控制怀孕的概率。在没有沿着宫颈壁传播的行波的情况下，报告了精子的最大推进速度。相位差对推进速度的微小影响也很明显。当前分析与现有文献的类比也进行了说明。
