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Published on: June 19, 2018
A multiscale model for the selection process of ovulatory follicles
Nki Echenim1, Michel Sorine, Frederique Clement
1Unit'e de Recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt BP 105, 78153 Le Chesnay Cedex, FRANCE. nki.echenim@inria.fr.
Summary
This study presents a multi-scale model of ovarian follicular development, simulating the selection of ovulatory follicles using control theory. The model aligns with established physiological knowledge of reproductive processes.
Area of Science:
- Reproductive Biology
- Mathematical Modeling
- Control Theory
Background:
- Follicular development is crucial for releasing fertilizable oocytes during ovulation.
- Follicle selection in mammals is a complex process dependent on Follicle-Stimulating Hormone (FSH).
- Existing models may not fully capture the intricate feedback mechanisms involved.
Purpose of the Study:
- To develop a novel multi-scale model for mammalian follicular development.
- To investigate the role of feedback between the ovaries and pituitary gland in follicle selection.
- To apply control theory concepts to understand the dynamics of follicular maturation.
Main Methods:
- Designed a multi-scale mathematical model of follicular development.
- Characterized each ovarian follicle using a 2D density function for age and maturity.
- Integrated control theory into the model's conservation law governing cell population dynamics.
- Employed the finite volume method for numerical simulations.
Main Results:
- The model simulates the selection of ovulatory follicles based on ovarian-pituitary feedback.
- The control mechanisms influence the velocity and loss terms within the follicular cell population dynamics.
- Numerical outputs demonstrate consistency with established physiological understanding of follicular development.
- The model provides a framework for analyzing FSH-dependent follicle selection.
Conclusions:
- The developed multi-scale model accurately represents follicular development and selection.
- Control theory provides valuable insights into the regulatory mechanisms of ovulation.
- The model serves as a robust tool for further research in reproductive endocrinology.
- Findings support the biological significance of feedback loops in reproductive cycles.
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