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LIMIT CYCLE BEHAVIOUR OF MENSTRUAL CYCLE MODEL

LIMIT CYCLE BEHAVIOUR OF MENSTRUAL CYCLE MODEL. W. Mumtong and P. Pongsumpun King Mongkut’s institute of Technology Ladkrabang. ABSTRACT.

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LIMIT CYCLE BEHAVIOUR OF MENSTRUAL CYCLE MODEL

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  1. LIMIT CYCLE BEHAVIOUR OF MENSTRUAL CYCLE MODEL W. Mumtong and P. Pongsumpun King Mongkut’s institute of Technology Ladkrabang

  2. ABSTRACT The menstrual cycle is the Cyclical shedding of uterine endometrium due to a decline in estrogen and progesterone production caused by a regressing produces high levels of estrogen and progesterone. The four main phases of the menstrual cycle are menstruation, the follicular phase, ovulation and the luteal phase. In this study, we analyze a mathematical model of the population of the human menstrual cycle. Comparison of the parameters that effect to the limit cycle are shown.

  3. MATHEMATICAL MODEL

  4. MATHEMATICAL MODEL

  5. ANALYSIS OF THE PARAMETER EFFECT ON LIMIT CYCLES In this section, we analyze the model given by equation (1)-(13). These equations are based on the study of Selgrade [10]. The trajectories of the solutions , projected into the 2D-space when the parameter values will lead to limit cycle. In this study, we used Matlab for showing the numerical solutions. The results are shown in the following figures.

  6. ANALYSIS OF THE PARAMETER EFFECT ON LIMIT CYCLES

  7. ANALYSIS OF THE PARAMETER EFFECT ON LIMIT CYCLES

  8. ANALYSIS OF THE PARAMETER EFFECT ON LIMIT CYCLES

  9. CONCLUSION

  10. REFERENCES http://www.womenshealth.gov/publications/our-publications/ factsheet/menstruation.cfm#f Greenberg, Jerrold S.; Clint E. Bruess, Sarah C. Conklin (2007). Exploring the dimensions of human sexuality (3rd ed.). Jones & Bartlett. pp. 136–137.  http://www.cks.nhs.uk/menopause#292420.Retrieved2November 2009.  http://www.webmd.com/content/article/9/2953_504.htm. Retrieved 16 December 2006. http://en.wikipedia.org/wiki/Menstrual_cycle Shuman, Tracy (February 2006). "Your Guide to Menopause” . Available: (http://www.webmd.com/content/article/9/2953_504.htm) Wikipedia. Menstrual cycle Available: (http://en.wikipedia.org/wiki/Menstrual_cycle) R.I. McLachlan, N.L. Cohen, K.D. Dahl, W.J. Bremner and M.R. Soules. [1990] Serum inhibin levels during the periovulatory interval in normal women: Relationships with sex steroid and gonadotrophin levels, Clin. Endocrinol., 32, 39-48. James F. Selgrade, Bifurcation analysis of a model for hormonal regulation of the menstrual cycle, Mathematical Biosciences 225 (2010) 108–114. J.F. Selgrade, P.M. Schlosser, A model for the production of ovarian hormones during the menstrual cycle, Fields Inst. Commun. 21 (1999) 429.

  11. THANK YOU

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