Authors: | Hedrih, Anđelka | Title: | Transition in oscillatory behavior in mouse oocyte and mouse embryo through oscillatory spherical net model of mouse zona pellucida | Journal: | Springer Proceedings in Mathematics and Statistics | Volume: | 93 | First page: | 295 | Last page: | 303 | Conference: | 12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013; Łódź; Poland; 2 December 2013 through 5 December 2013 | Issue Date: | 1-Jan-2014 | ISBN: | 978-3-319-08265-3 | ISSN: | 2194-1009 | DOI: | 10.1007/978-3-319-08266-0_21 | Abstract: | Zona pellucida, a 3D matrix that surrounds mammalian oocyte, dynamically changes its elasticity during the maturation and fertilization process. We consider fertilization as a biomechanical oscillatory phenomenon and hypothesized that mature oocyte and embryo are in different oscillatory states. Using an oscillatory spherical net model of mouse ZP [4], eigen circular frequencies of mouse oocyte and mouse embryo were calculated. Frequency analysis of circular frequencies of ZP under periodical external excitation force in the form of sperm cell impact was done for both states. To determine the conditions for dynamical absorption under impact of sperm cells on ZP of mouse oocyte and embryo, numerical analyses were done. |
Publisher: | Springer Link | Project: | Dynamics of hybrid systems with complex structures. Mechanics of materials. |
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