Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida
Апстракт
As there are experimental evidences that Zona Pelucida (ZP) changes its elasticity during process of maturation we may supposed that ZP changes its oscillatory states as well. One of biological functions of this multi-layer mesh-like 3D structure that surrounds mammalian oocytes is selectivity regarding sperm penetration. On a basis of single-layered oscillatory spherical net model of mouse ZP (mZP) the improved double layer model is developed. Two new variables were included into the model: double-layered network and visco-elastic properties between its constructive elements. Due to visco-elastic properties of ZP and its importance for mechanism of sperm penetration double layered oscillatory net model of mZP has fractional order properties.
Molecules in double-layered oscillatory mZP model are interconnected with standard light fractional order viscoelastic element defined by constitutive relation force - elongation expressed by fractional order derivatives. Oscillatory behavior of ...this double-layered system is discussed. As the sperm has to penetrate ZP it is of great importance what is the energy barrier it has to pass or what is the energy it has to own to fulfill the demands of ZP selection criteria. The energy states of one and double layered ZP oscillatory fractional order model of mZP are analyzed.
Кључне речи:
Zona Pelucida / Energy Dissipation / Multi-layer Fractional Oscillatory Spherical Net Model / Oscillations / Coupled MeshesИзвор:
Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016, 2016, 22-22Издавач:
- Faculty of Mechanical Engineering, Belgrade
- University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts
Финансирање / пројекти:
- Динамика хибридних система сложених структура. Механика материјала (RS-MESTD-Basic Research (BR or ON)-174001)
- Развој нових метода и техника за рану дијагностику канцера грлића материце, дебелог црева, усне дупље и меланома на бази дигиталне слике и ексцитационо-емисионих спектара у видљивом и инфрацрвеном домену (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41006)
Колекције
Институција/група
Mašinski fakultetTY - CONF AU - Hedrih, Andjelka AU - Lazarević, Mihailo PY - 2016 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6569 AB - As there are experimental evidences that Zona Pelucida (ZP) changes its elasticity during process of maturation we may supposed that ZP changes its oscillatory states as well. One of biological functions of this multi-layer mesh-like 3D structure that surrounds mammalian oocytes is selectivity regarding sperm penetration. On a basis of single-layered oscillatory spherical net model of mouse ZP (mZP) the improved double layer model is developed. Two new variables were included into the model: double-layered network and visco-elastic properties between its constructive elements. Due to visco-elastic properties of ZP and its importance for mechanism of sperm penetration double layered oscillatory net model of mZP has fractional order properties. Molecules in double-layered oscillatory mZP model are interconnected with standard light fractional order viscoelastic element defined by constitutive relation force - elongation expressed by fractional order derivatives. Oscillatory behavior of this double-layered system is discussed. As the sperm has to penetrate ZP it is of great importance what is the energy barrier it has to pass or what is the energy it has to own to fulfill the demands of ZP selection criteria. The energy states of one and double layered ZP oscillatory fractional order model of mZP are analyzed. PB - Faculty of Mechanical Engineering, Belgrade PB - University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts C3 - Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016 T1 - Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida EP - 22 SP - 22 UR - https://hdl.handle.net/21.15107/rcub_machinery_6569 ER -
@conference{ author = "Hedrih, Andjelka and Lazarević, Mihailo", year = "2016", abstract = "As there are experimental evidences that Zona Pelucida (ZP) changes its elasticity during process of maturation we may supposed that ZP changes its oscillatory states as well. One of biological functions of this multi-layer mesh-like 3D structure that surrounds mammalian oocytes is selectivity regarding sperm penetration. On a basis of single-layered oscillatory spherical net model of mouse ZP (mZP) the improved double layer model is developed. Two new variables were included into the model: double-layered network and visco-elastic properties between its constructive elements. Due to visco-elastic properties of ZP and its importance for mechanism of sperm penetration double layered oscillatory net model of mZP has fractional order properties. Molecules in double-layered oscillatory mZP model are interconnected with standard light fractional order viscoelastic element defined by constitutive relation force - elongation expressed by fractional order derivatives. Oscillatory behavior of this double-layered system is discussed. As the sperm has to penetrate ZP it is of great importance what is the energy barrier it has to pass or what is the energy it has to own to fulfill the demands of ZP selection criteria. The energy states of one and double layered ZP oscillatory fractional order model of mZP are analyzed.", publisher = "Faculty of Mechanical Engineering, Belgrade, University of Belgrade Mathematical Institute, Serbian Academy of Sciences and Arts", journal = "Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016", title = "Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida", pages = "22-22", url = "https://hdl.handle.net/21.15107/rcub_machinery_6569" }
Hedrih, A.,& Lazarević, M.. (2016). Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida. in Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016 Faculty of Mechanical Engineering, Belgrade., 22-22. https://hdl.handle.net/21.15107/rcub_machinery_6569
Hedrih A, Lazarević M. Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida. in Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016. 2016;:22-22. https://hdl.handle.net/21.15107/rcub_machinery_6569 .
Hedrih, Andjelka, Lazarević, Mihailo, "Analysis of energy state of a discrete fractionally one- and two -layer oscillatory spherical net model of mouse Zona Pelucida" in Booklet of Abstracts Mini-symposium “ Fractional Calculus with applications in problems of diffusion, control and dynamics of complex systems”, July 13, 2016 (2016):22-22, https://hdl.handle.net/21.15107/rcub_machinery_6569 .