Abstract
Sperm transport in the human cervix is a vital step in the process of fertilization, and the roles of the cervix and the cervical mucus have been extensively discussed and investigated. A mechanism to explain sperm transport through the cervical mucus based on a dynamic interaction between the cervical mucus and the swimming sperm has been suggested by Odeblad. A mathematical model of Odeblad's proposed mechanism of sperm transport in the cervix is presented which idealizes the geometry as a self-propelling infinite sheet in a two-dimensional channel. The sheet propels itself by propagating waves of lateral displacement. The channel walls are allowed to vibrate as proposed by Odeblad as right traveling waves, left traveling waves or standing waves. The propulsive velocity and energy expended by the sheet and flow rates in the channel are computed. These results are presented and conclusions are given concerning the effect of wall oscillations on self propelling sheets. The conclusions of Odeblad's theory are contrasted with the results of the model.
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