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Transition in Oscillatory Behavior in Mouse Oocyte and Mouse Embryo Through Oscillatory Spherical Net Model of Mouse Zona Pellucida

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Applied Non-Linear Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 93))

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.

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Acknowledgments

The author would like to thank Prof. Katica (Stevanović) Hedrih from the Mathematical Institute of SASA, Belgrade, Serbia, for the help with useful consultations. Parts of this research were supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia through Grant ON174001 and State University of Novi Pazar.

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Authors and Affiliations

  1. Department for Bio-medical science, State University of Novi Pazar, Vuka Karadzica bb, 36 300, Novi Pazar, Serbia

    Andjelka N. Hedrih

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  1. Andjelka N. Hedrih
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Correspondence to Andjelka N. Hedrih .

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Editors and Affiliations

  1. Department of Automation, Biomechanics and Mechatronics, Łódź University of Technology, Łódź, Poland

    Jan Awrejcewicz

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Hedrih, A.N. (2014). Transition in Oscillatory Behavior in Mouse Oocyte and Mouse Embryo Through Oscillatory Spherical Net Model of Mouse Zona Pellucida. In: Awrejcewicz, J. (eds) Applied Non-Linear Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 93. Springer, Cham. https://doi.org/10.1007/978-3-319-08266-0_21

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