TY  - 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 .

TY  - CONF
AU  - Hedrih, Andjelka
AU  - Lazarević, Mihailo
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4247
AB  - Zona Pelucida (ZP) is multi-layer mesh-like 3D structure that surrounds mammalian eggs. One of
its biological functions is selectivity regarding sperm penetration. Oscillatory spherical net model
of mZP is suitable for explain initial stadium of sperm penetration. This model is single-layer
model. On a basis of single-layered oscillatory spherical net model of mZP we proposed
improved double layer models. 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. Oscillatory behavior of this double-layered system is discussed.
PB  - Belgrade : Serbian Society of Mechanics
PB  - Novi Sad : Faculty of Technical Sciences
C3  - Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, B1
T1  - Multi-layer oscillatory spherical net model of mouse zona Pelucida
EP  - 8
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4247
ER  - 

@conference{
author = "Hedrih, Andjelka and Lazarević, Mihailo",
year = "2015",
abstract = "Zona Pelucida (ZP) is multi-layer mesh-like 3D structure that surrounds mammalian eggs. One of
its biological functions is selectivity regarding sperm penetration. Oscillatory spherical net model
of mZP is suitable for explain initial stadium of sperm penetration. This model is single-layer
model. On a basis of single-layered oscillatory spherical net model of mZP we proposed
improved double layer models. 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. Oscillatory behavior of this double-layered system is discussed.",
publisher = "Belgrade : Serbian Society of Mechanics, Novi Sad : Faculty of Technical Sciences",
journal = "Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, B1",
title = "Multi-layer oscillatory spherical net model of mouse zona Pelucida",
pages = "8-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4247"
}

Hedrih, A.,& Lazarević, M.. (2015). Multi-layer oscillatory spherical net model of mouse zona Pelucida. in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, B1
Belgrade : Serbian Society of Mechanics., 1-8.
https://hdl.handle.net/21.15107/rcub_machinery_4247

Hedrih A, Lazarević M. Multi-layer oscillatory spherical net model of mouse zona Pelucida. in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, B1. 2015;:1-8.
https://hdl.handle.net/21.15107/rcub_machinery_4247 .

Hedrih, Andjelka, Lazarević, Mihailo, "Multi-layer oscillatory spherical net model of mouse zona Pelucida" in Proceedings of the 5th International Congress of Serbian Society of Mechanics, Arandjelovac, June 15-17, 2015, B1 (2015):1-8,
https://hdl.handle.net/21.15107/rcub_machinery_4247 .

TY  - JOUR
AU  - Hedrih, Andjelka
AU  - Lazarević, Mihailo
AU  - Mitrović-Jovanović, Ana
PY  - 2015
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/2238
AB  - According to the available literature, penetrating sperm creates an oblique path trough Zona pellucida (ZP) - the most outer surface of oocytes. Considering fertilization process as an oscillatory phenomenon, the influence of sperm impact angle relative to the oscillatory behavior of mouse ZP is described by using the discrete continuum mechanical model in the form of a spherical net model. A parametric frequency analysis of oscillatory behavior of knot material particles in the mouse ZP (mZP) spherical net model is conducted by using generalized Lussajous curves. The influence of impact angles of sperm cells on the corresponding knot mass particles' resultant trajectory is discussed. Favorable sperm impact angles for successful fertilization are identified.
PB  - Pergamon-Elsevier Science Ltd, Oxford
T2  - Computers in Biology and Medicine
T1  - Influence of sperm impact angle on successful fertilization through mZP oscillatory spherical net model
EP  - 29
SP  - 19
VL  - 59
DO  - 10.1016/j.compbiomed.2015.01.009
ER  - 

@article{
author = "Hedrih, Andjelka and Lazarević, Mihailo and Mitrović-Jovanović, Ana",
year = "2015",
abstract = "According to the available literature, penetrating sperm creates an oblique path trough Zona pellucida (ZP) - the most outer surface of oocytes. Considering fertilization process as an oscillatory phenomenon, the influence of sperm impact angle relative to the oscillatory behavior of mouse ZP is described by using the discrete continuum mechanical model in the form of a spherical net model. A parametric frequency analysis of oscillatory behavior of knot material particles in the mouse ZP (mZP) spherical net model is conducted by using generalized Lussajous curves. The influence of impact angles of sperm cells on the corresponding knot mass particles' resultant trajectory is discussed. Favorable sperm impact angles for successful fertilization are identified.",
publisher = "Pergamon-Elsevier Science Ltd, Oxford",
journal = "Computers in Biology and Medicine",
title = "Influence of sperm impact angle on successful fertilization through mZP oscillatory spherical net model",
pages = "29-19",
volume = "59",
doi = "10.1016/j.compbiomed.2015.01.009"
}

Hedrih, A., Lazarević, M.,& Mitrović-Jovanović, A.. (2015). Influence of sperm impact angle on successful fertilization through mZP oscillatory spherical net model. in Computers in Biology and Medicine
Pergamon-Elsevier Science Ltd, Oxford., 59, 19-29.
https://doi.org/10.1016/j.compbiomed.2015.01.009

Hedrih A, Lazarević M, Mitrović-Jovanović A. Influence of sperm impact angle on successful fertilization through mZP oscillatory spherical net model. in Computers in Biology and Medicine. 2015;59:19-29.
doi:10.1016/j.compbiomed.2015.01.009 .

Hedrih, Andjelka, Lazarević, Mihailo, Mitrović-Jovanović, Ana, "Influence of sperm impact angle on successful fertilization through mZP oscillatory spherical net model" in Computers in Biology and Medicine, 59 (2015):19-29,
https://doi.org/10.1016/j.compbiomed.2015.01.009 . .

TY  - CONF
AU  - Hedrih, Andjelka
AU  - Lazarević, Mihailo
AU  - Mitrovic-Jovanovic, Ana
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/4370
AB  - Fertilization, the process of reunion of genetic material of oocyte and one sperm
cell is well described on the biochemical level. In this paper we consider fertilization as a
biomechanical oscillatory phenomenon. Using an oscillatory spherical net model of mouse ZP
[4] we consider the resonance between forced oscillations of mouse Zona pelucida and impact
of sperm cells as necessary condition for successful fertilization. To restate the resonance
condition the numerical analysis were done.
PB  - Belgrade : Serbian Society of Mechanics
C3  - Proceedings of the 4th International Congress of Serbian Society of Mechanics,   Vrnjačka Banja, Serbia, June 4-7, 2013
T1  - Fertilisation as a Biomechanical Oscillatory Phenomenon in Mamals
EP  - 584
SP  - 579
UR  - https://hdl.handle.net/21.15107/rcub_machinery_4370
ER  - 

@conference{
author = "Hedrih, Andjelka and Lazarević, Mihailo and Mitrovic-Jovanovic, Ana",
year = "2013",
abstract = "Fertilization, the process of reunion of genetic material of oocyte and one sperm
cell is well described on the biochemical level. In this paper we consider fertilization as a
biomechanical oscillatory phenomenon. Using an oscillatory spherical net model of mouse ZP
[4] we consider the resonance between forced oscillations of mouse Zona pelucida and impact
of sperm cells as necessary condition for successful fertilization. To restate the resonance
condition the numerical analysis were done.",
publisher = "Belgrade : Serbian Society of Mechanics",
journal = "Proceedings of the 4th International Congress of Serbian Society of Mechanics,   Vrnjačka Banja, Serbia, June 4-7, 2013",
title = "Fertilisation as a Biomechanical Oscillatory Phenomenon in Mamals",
pages = "584-579",
url = "https://hdl.handle.net/21.15107/rcub_machinery_4370"
}

Hedrih, A., Lazarević, M.,& Mitrovic-Jovanovic, A.. (2013). Fertilisation as a Biomechanical Oscillatory Phenomenon in Mamals. in Proceedings of the 4th International Congress of Serbian Society of Mechanics,   Vrnjačka Banja, Serbia, June 4-7, 2013
Belgrade : Serbian Society of Mechanics., 579-584.
https://hdl.handle.net/21.15107/rcub_machinery_4370

Hedrih A, Lazarević M, Mitrovic-Jovanovic A. Fertilisation as a Biomechanical Oscillatory Phenomenon in Mamals. in Proceedings of the 4th International Congress of Serbian Society of Mechanics,   Vrnjačka Banja, Serbia, June 4-7, 2013. 2013;:579-584.
https://hdl.handle.net/21.15107/rcub_machinery_4370 .

Hedrih, Andjelka, Lazarević, Mihailo, Mitrovic-Jovanovic, Ana, "Fertilisation as a Biomechanical Oscillatory Phenomenon in Mamals" in Proceedings of the 4th International Congress of Serbian Society of Mechanics,   Vrnjačka Banja, Serbia, June 4-7, 2013 (2013):579-584,
https://hdl.handle.net/21.15107/rcub_machinery_4370 .

TY  - CONF
AU  - Hedrih, Andjelka
AU  - Lazarević, Mihailo
AU  - Mitrović-Jovanović, Ana
PY  - 2013
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/6612
AB  - The quality of a whole ejaculate is important for fertilization success. Number of
sperm with effective swimming velocity, capable to reach the oocyte and to undergo
complex adaptations within the female reproductive tract is a key determinant of male
fertilization success. According to the literature, total sperm numbers are positively
correlated to proportions of normal sperm, acrosome integrity and motile sperm and
also with gonadosomatic index.
Treating the fertilization process as an oscillatory phenomenon we use oscillatory
spherical net model of mouse Zona Pellucida (mZP) to investigate the impact of
sperm count on successful fertilization. To describe impact of number of
hyperactivated sperm cells relative to the oscillatory behaviour of mZP, the discreet
continuum model in the form of spherical net model is used. mZP is modelled as a
discrete system of material particles (corresponds to mZP glycoproteins)
interconnected with massless linear elastic elements on a manner that preserves molar
ratio of m ZP glycoproteins. According to the model, under external numerous vibroimpacts
of spermatozoa, mZP oscillatory net oscillates in forced regimes.
To estimate the influence of sperm count a numerical analysis was conducted. Using
generalized Lissajous curves, parametric frequency analysis of oscillatory behaviour
of ZP1 molecules in oscillatory model of mZP is realized. Numerical analysis
identified favourable oscillatory states of ZP1 molecules under the impact of different
number of spermatozoa with effective velocity.
We can conclude that ZP1 molecules in the mZP oscillatory model have different
oscillatory states when exposed to the external vibro -impacts of different number of
hyperactivated spermatozoa, indicated that certain number of hyperactivated
spermatozoa is necessary for reaching the favourable oscillatory state of mZP for
fertilisation.
PB  - Beograd : Udruženje za reproduktivno zdravlje
C3  - Abstract book  the 7th diczfalusy award lecture symposium on reproductive health 27 - 28. septembar 2013, Belgrade
T1  - Importance of number of hyperactivated spermatozoa  for successful fertilisation trough mechanical  oscillatory model of mouse zona pellucida
EP  - 2
SP  - 1
UR  - https://hdl.handle.net/21.15107/rcub_machinery_6612
ER  - 

@conference{
author = "Hedrih, Andjelka and Lazarević, Mihailo and Mitrović-Jovanović, Ana",
year = "2013",
abstract = "The quality of a whole ejaculate is important for fertilization success. Number of
sperm with effective swimming velocity, capable to reach the oocyte and to undergo
complex adaptations within the female reproductive tract is a key determinant of male
fertilization success. According to the literature, total sperm numbers are positively
correlated to proportions of normal sperm, acrosome integrity and motile sperm and
also with gonadosomatic index.
Treating the fertilization process as an oscillatory phenomenon we use oscillatory
spherical net model of mouse Zona Pellucida (mZP) to investigate the impact of
sperm count on successful fertilization. To describe impact of number of
hyperactivated sperm cells relative to the oscillatory behaviour of mZP, the discreet
continuum model in the form of spherical net model is used. mZP is modelled as a
discrete system of material particles (corresponds to mZP glycoproteins)
interconnected with massless linear elastic elements on a manner that preserves molar
ratio of m ZP glycoproteins. According to the model, under external numerous vibroimpacts
of spermatozoa, mZP oscillatory net oscillates in forced regimes.
To estimate the influence of sperm count a numerical analysis was conducted. Using
generalized Lissajous curves, parametric frequency analysis of oscillatory behaviour
of ZP1 molecules in oscillatory model of mZP is realized. Numerical analysis
identified favourable oscillatory states of ZP1 molecules under the impact of different
number of spermatozoa with effective velocity.
We can conclude that ZP1 molecules in the mZP oscillatory model have different
oscillatory states when exposed to the external vibro -impacts of different number of
hyperactivated spermatozoa, indicated that certain number of hyperactivated
spermatozoa is necessary for reaching the favourable oscillatory state of mZP for
fertilisation.",
publisher = "Beograd : Udruženje za reproduktivno zdravlje",
journal = "Abstract book  the 7th diczfalusy award lecture symposium on reproductive health 27 - 28. septembar 2013, Belgrade",
title = "Importance of number of hyperactivated spermatozoa  for successful fertilisation trough mechanical  oscillatory model of mouse zona pellucida",
pages = "2-1",
url = "https://hdl.handle.net/21.15107/rcub_machinery_6612"
}

Hedrih, A., Lazarević, M.,& Mitrović-Jovanović, A.. (2013). Importance of number of hyperactivated spermatozoa  for successful fertilisation trough mechanical  oscillatory model of mouse zona pellucida. in Abstract book  the 7th diczfalusy award lecture symposium on reproductive health 27 - 28. septembar 2013, Belgrade
Beograd : Udruženje za reproduktivno zdravlje., 1-2.
https://hdl.handle.net/21.15107/rcub_machinery_6612

Hedrih A, Lazarević M, Mitrović-Jovanović A. Importance of number of hyperactivated spermatozoa  for successful fertilisation trough mechanical  oscillatory model of mouse zona pellucida. in Abstract book  the 7th diczfalusy award lecture symposium on reproductive health 27 - 28. septembar 2013, Belgrade. 2013;:1-2.
https://hdl.handle.net/21.15107/rcub_machinery_6612 .

Hedrih, Andjelka, Lazarević, Mihailo, Mitrović-Jovanović, Ana, "Importance of number of hyperactivated spermatozoa  for successful fertilisation trough mechanical  oscillatory model of mouse zona pellucida" in Abstract book  the 7th diczfalusy award lecture symposium on reproductive health 27 - 28. septembar 2013, Belgrade (2013):1-2,
https://hdl.handle.net/21.15107/rcub_machinery_6612 .