International Journal of Reproductive BioMedicine
Research and Clinical Center for Infertility, Shahid Sadoughi University of Medical Sciences of Yazd
Vol. 17, No. 4, 2019, pp. 231-244
Bioline Code: rm19025
Full paper language: English
Document type: Research Article
Document available free of charge
International Journal of Reproductive BioMedicine, Vol. 17, No. 4, 2019, pp. 231-244
© Copyright 2019 - Somayeh Ghiyasi Hafezi et al.
Dynamic model with factors of polycystic ovarian syndrome in infertile women|
Hafezi, Somayeh Ghiasi; Zand, Mohammadreza Ahmadi; Molaei, Mohammadreza & Eftekhar, Maryam
Background: Previous studies present various methods for prediction disease based
on statistics or neural networks.These models use statistics and results from past
procedures to provide prediction through probability analysis.
Objective: In this article, the authors present a dynamic model aiming at predicting the
treatment result of infertile women with the factor of polycystic ovary syndrome.
Materials and Methods: For this purpose, the authors have divided the study
population into five groups: women prone to infertility, PCOS women, infertile women
undergoing the treatment with Clomiphene Citrate and Gonadotropin, infertile women
under IVF treatment, and improved infertile women. Therefore, the authors modeled
the disease in infertile women mathematically and indicated that the free equilibrium
point was asymptotically stable. Also the possibility of other equilibrium point of the
system has been studied.
Results: The authors showed that this equilibrium point was marginally stable. Using
Stoke’s Theorem, the authors proved that the recurrence of the disease cycle with
the factor of polycystic ovary syndrome was not intermittent in infertile women. They
solved this model numerically using Rung-Kutta method and sketched the figures of
the resulted solutions.
Conclusion: It shows that with increasing age, the ovarian reserve is decreased and the
treatment Clomiphene Citrate and Gonadotropin are not responsive, so IVF treatment
is recommended in this group of patients considering the graphs of the model.
Infertility; Polycystic ovary syndrome; In vitro fertilization; Asymptotically stable; Differential equation; Free equilibrium point.
Alternative site location: http://www.ijrm.ir