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    Item type:Publication,
    A model for the testosterone regulation taking into account the presence of two types of testosterone hormones
    (2015-06-01)
    Tanutpanit, T.
    ;
    Pongsumpun, P.
    ;
    Tang, I. M.
    The purpose of this paper is to study the effect of sex hormone binding globulin (SHBG) on the mathematical model of the hypothalamic-pituitary-gonadal (HPG) endocrine cycle which regulates the production of the male hormone testosterone. Large amounts of total circulating testosterone are bound to SHBG making them. Standard analytical techniques are used to analyze the modified mathematical model which includes a delay to account for the time required for luteinizing hormone emitted by the pituitary gland to reach the testis, to determine the steady state, its stability and the critical delay needed for the bifurcation. Numerical simulation of the solutions of the model is performed to illustrate the possible behaviors.
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    Studying menstrual cycle by using mathematical model
    (2014-01-01)
    Mumtong, W.
    ;
    Pongsumpun, P.
    ;
    Tang, I. Ming
    Menstrual cycle can occur in fertile women. It is the scientific term for the physiological changes in human. It is under controlling of the endocrine system that is necessary for reproduction. It is commonly divided into three phases: the follicular phase, ovulation, and the luteal phase. Activin enhances Follicular Stimulating Hormone (FSH) biosynthesis and secretion. It participates in the regulation of menstrual cycle. In this study, we analyze a mathematical model of the human menstrual cycle. The equilibrium point of the model and its stability are shown. Numerical solutions are shown to support the theoretical predictions. © 2014 Pushpa Publishing House, Allahabad, India.
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    Analysis of model for menstrual cycle with the effect of body mass index
    (2014-01-01)
    Mumtong, W.
    ;
    Pongsumpun, P.
    ;
    Tang, I. Ming
    Menstrual cycle is the tissue that peeled off from the lining of the uterus. It is caused by changes in female hormones associated with ovulation. Obesity often affects the balance of estrogen hormone, hormone for ovulation control that may cause menstrual abnormalities. If there is no ovulation, then there would be no menstruation occurs. This article has examined the above factors that affect the balance of hormones on the control of the ovulation cycle.
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    Item type:Publication,
    Stability and oscillations of time-delayed model for the testosterone regulation
    (2013-11-04)
    Tanutpanit, T.
    ;
    Pongsumpun, P.
    ;
    Tang, I. M.
    In this paper, we develop the mathematical model with a time delay to describe the feedback mechanisms concerning of cyclicity of the male hormonal balance on the influence of variations in the sex hormone-binding globulin (SHBG) concentration. We show that a Hopf bifurcation occurs when a time delay τ passes through a critical value. Numerical simulations are performed to illustrate the analytical results. Moreover, this model can explain the pulsatile secretion of hormones in male.