A continuum model for surface contraction waves.
The periodic travelling waves which appear on some animal eggs after fertilization are considered here. These are thought to be caused by a calcium initiated calcium release on the surface, causing calcium waves. A continuum model is developed where the cell is treated as a small viscous droplet with a surface contamination. When a periodic source of surfactant acts at one pole and propagates down the cell surface to the opposite pole, the drop responds by forming constriction rings which move from pole to pole.
D000818:Animals; D002118:Calcium / Q000378:metabolism; D002450:Cell Communication; D005260:Female; D005306:Fertilization; D008433:Mathematics; D008954:Models, Biological; D010063:Ovum; D010507:Periodicity; D013499:Surface Properties; D013500:Surface Tension; D001468:Thoracica / Q000196:embryology
D002118:Calcium