Dynamics and bifurcation of a model for hormonal control of the menstrual cycle with inhibin delay

A system of 13 ordinary differential equations with 42 parameters is presented to model hormonal regulation of the menstrual cycle. For an excellent fit to clinical data, the model requires a 36 h time delay for the effect of inhibin on the synthesis of follicle stimulating hormone. Biological and mathematical reasons for this delay are discussed. Bifurcations with respect to changes in three important parameters are examined. One parameter represents the level of estradiol adequate for significant synthesis of luteinizing hormone. Bifurcation diagrams with respect to this parameter reveal an interval of parameter values for which a unique stable periodic solution exists and this solution represents a menstrual cycle during which ovulation occurs. The second parameter measures mass transfer between the first two stages of ovarian development and is indicative of healthy follicular growth. The third parameter is the time delay. Changes in the second parameter and the time delay affect the size of the uniqueness interval defined with respect to the first parameter. Saddle-node, transcritical and degenerate Hopf bifurcations are studied.     

A model for hormonal control of the menstrual cycle: Structural consistency but sensitivity with regard to data

This study presents a 13-dimensional system of delayed differential equations which predicts serum concentrations of five hormones important for regulation of the menstrual cycle. Parameters for the system are fit to two different data sets for normally cycling women. For these best fit parameter sets, model simulations agree well with the two different data sets but one model also has an abnormal stable periodic solution, which may represent polycystic ovarian syndrome. This abnormal cycle occurs for the model in which the normal cycle has estradiol levels at the high end of the normal range. Differences in model behavior are explained by studying hysteresis curves in bifurcation diagrams with respect to sensitive model parameters. For instance, one sensitive parameter is indicative of the estradiol concentration that promotes pituitary synthesis of a large amount of luteinizing hormone, which is required for ovulation. Also, it is observed that models with greater early follicular growth rates may have a greater risk of cycling abnormally.     

Seasonal effects on ovarian folliculogenesis in rhesus monkeys

Reproductive performance is reportedly reduced in some rhesus monkeys during the summer months, even when environmental conditions are controlled. The mechanism(s) underlying this phenomenon remain unknown. We noted that the pattern of folliculogenesis appeared to be altered in rhesus monkeys that continued to exhibit ovulatory menstrual cycles during the "nonbreeding" season. This study was designed to investigate the effect of season on development of the dominant follicle (DF) and upon levels of serum gonadotropins and sex steroids in animals maintained in a controlled environment. Forty-four menstrual cycles were evaluated from October, 1982 to October, 1983. Animals were housed individually in controlled light (12L:12D) and temperature (22-25 degrees C). A DF was identified by laparoscopy on Day 6 of the cycle in only 45% of cycles during the months of May through September, compared with 87.5% the remainder of the year. No effect of season was detected on either the length of the menstrual cycle or luteal phase, mean follicular diameter, or the percentage of ovulatory cycles. During the follicular phase, amounts of follicle-stimulating hormone (FSH) in peripheral sera were depressed, whereas those of luteinizing hormone (LH) were consistently elevated. Amounts of circulating estradiol were similar between groups. However, serum concentrations of progesterone were markedly reduced in the summer. Development of the DF appeared to be delayed in the early follicular phase during the summer months in those rhesus monkeys that had ovulatory menstrual cycles. This delay was accompanied by an alteration in the FSH to LH ratio. Although most cycles were ovulatory, altered follicular development resulted in deficient luteal function.     

Variation in sociosexuality across natural menstrual cycles: Associations with ovarian hormones and cycle phase

The psychological construct of sociosexuality—one's sexual openness or propensity to engage in uncommitted sexual relationships—has been broadly examined within numerous cultures and mating contexts. Although there is some evidence suggesting that components of sociosexuality, namely behavior, desire and attitude, change within-person, relatively little research has investigated potential sources of such variation. The aim of our study was to explore if the individual components of sociosexuality change across the menstrual cycle, either as a function of cycle phase or ovarian hormones. One hundred and two naturally cycling women, both single and in a committed relationships, completed questions from the the SOI-R (Sociosexuality Revised) questionnaire three times during a menstrual cycle, scheduled to coincide with their early follicular, peri-ovulatory, and luteal phases. Women provided saliva samples and performed luteinizing hormone tests to distinguish between ovulatory and anovulatory cycles. Women reported slightly more openness to uncommitted sexual relationships during the peri-ovulatory session, but significant differences were restricted only to women who exhibited the luteinizing hormone surge. Ovarian hormone concentrations within cycles significantly predicted SOI Attitude and Desire scores, with estradiol positively related, and progesterone negatively related to openness to uncommitted sexuality. These effects were generally modest in size. The results of this study suggest that sociosexuality can vary within short periods of time, such as a single menstrual cycle.     

A delay differential equation model of follicle waves in women

This article presents a mathematical model for hormonal regulation of the menstrual cycle which predicts the occurrence of follicle waves in normally cycling women. Several follicles of ovulatory size that develop sequentially during one menstrual cycle are referred to as follicle waves. The model consists of 13 nonlinear, delay differential equations with 51 parameters. Model simulations exhibit a unique stable periodic cycle and this menstrual cycle accurately approximates blood levels of ovarian and pituitary hormones found in the biological literature. Numerical experiments illustrate that the number of follicle waves corresponds to the number of rises in pituitary follicle stimulating hormone. Modifications of the model equations result in simulations which predict the possibility of two ovulations at different times during the same menstrual cycle and, hence, the occurrence of dizygotic twins via a phenomenon referred to as superfecundation. Sensitive parameters are identified and bifurcations in model behaviour with respect to parameter changes are discussed. Studying follicle waves may be helpful for improving female fertility and for understanding some aspects of female reproductive ageing.     

Subnormal follicular-phase serum progesterone levels and elevated follicular-phase serum estradiol levels in young women with insulin-dependent diabetes

In a search for possible hormonal reasons for the loss of protection from myocardial infarction seen in diabetic women, serum levels of estradiol, progesterone, and luteinizing hormone were compared throughout a menstrual cycle (17 points) in eight healthy nonsmoking women and five otherwise healthy nonsmoking insulin-dependent diabetic women. The total length of the menstrual cycle and the lengths of the follicular and luteal phases did not differ between the groups. During the periovulatory and luteal phases, there was no significant intergroup difference with respect to any of the three hormones. During the follicular phase, in both groups, there was a plateau in serum progesterone concentration, with the level approximately 42% lower in the diabetic group (12.0 +/- 6.6 ng/dl versus 20.7 +/- 5.7; P less than 0.0001). Follicular-phase serum estradiol showed a rising curve in both groups; day-by-day comparison (days -10 to -3 before the luteinizing hormone peak) showed consistently higher levels in the diabetic group (mean, 108 pg/ml versus 95 pg/ml; P less than 0.001). The follicular-phase serum estradiol to progesterone ratio was nearly twice as high in the diabetic group as in the normal group (8.9 versus 4.6), a difference that was highly significant. The finding of elevated serum estradiol and subnormal serum progesterone concentrations during the follicular phase is so far unique to women with insulin-dependent diabetes mellitus. The possibility that this pronounced abnormality in diabetic women may be related to coronary disease merits testing in suitable in vivo and in vitro models of atherogenesis.     

The influence of hormonal changes during menstrual cycle on serum adiponectin concentrations in healthy women

Adiponectin is an adipocyte-derived hormone involved in the regulation of carbohydrate and lipid metabolism. Its concentrations are decreased in patients with obesity, type 2 diabetes and atherosclerosis and are higher in females than in males. Gender differences of adiponectin levels raise the possibility that sex hormones directly regulate its serum concentrations, which may in turn influence insulin sensitivity in different phases of the menstrual cycle. To test this hypothesis we measured serum adiponectin, estradiol, progesterone, luteinizing hormone and follicle-stimulating hormone concentrations daily throughout the menstrual cycle in six healthy women. Mean adiponectin levels strongly positively correlated with serum cortisol concentrations [R=0.94286; p=0.0048 (Spearman correlation test)], but were not significantly related to other anthropometric, biochemical and hormonal characteristics of the subjects (BMI, blood glucose, insulin, testosterone, prolactin, cholesterol, HDL cholesterol, LDL cholesterol, triglycerides concentrations, or atherogenic index). Furthermore, no significant changes of serum adiponectin levels were found throughout the menstrual cycle. We conclude that changes in sex hormones during the menstrual cycle do not affect total circulating adiponectin levels in healthy women. Therefore, the differences in insulin sensitivity in various phases of the menstrual cycle are not due to changes of circulating adiponectin levels.     

Low sexual desire in women: the role of reproductive hormones

The role of reproductive hormones in mediating sexual desire in healthy women is still unclear. Elucidation was sought in this study by comparing the hormonal milieu of two groups of subjects with markedly different levels of sexual desire. Seventeen women ages 27-39 who met DSM III-R criteria for severe, persistent, and generalized loss of desire (hypoactive sexual desire disorder, HSD), but had no other current psychological or medical problem, were compared to 13 healthy, sexually active women. All subjects and spouses were interviewed extensively to determine the women's sexual desire and responsiveness. Blood samples were drawn every 3 to 4 days for one menstrual cycle and were analyzed by RIA for testosterone, SHBG, estradiol, progesterone, prolactin, and luteinizing hormone. Results indicated that the HSD women's gonadal hormones fluctuated normally over the menstrual cycle, were within normal limits for each cycle phase, and were never significantly different from those of controls. Neither testosterone, non-SHBG bound testosterone, nor prolactin differentiated between the HSD women with the most and least severe HSD parameters (e.g., frequency of fantasy, masturbation, or female-initiated coitus), nor between women with lifelong and acquired HSD. The present findings did not provide evidence that reproductive hormones are important determinants of individual differences in the sexual desire of these eugonadal women.     

Cimetidine and plasma levels of gonadotropins,prolactin and gonadal steroids in women.

The endocrine effects of cimetidine (Tagamet) during the menstrual cycle were investigated in seven healthy female volunteers. The subjects were studied for six menstrual cycles divided into the pretreatment phase, a phase of therapy with 1.2 g of orally administered cimetidine daily for two cycles, and a post-treatment phase. Cimetidine therapy induced a significant increase in the mean plasma level of follicle-stimulating hormone during the periovulatory period, followed by modest but sustained hyperprolactinemia throughout the luteal phase of each cycle. No significant changes were found in the mean plasma levels of luteinizing hormone and progesterone, and the mean plasma estradiol level was significantly decreased only in the midproliferative phase of each cycle. The mean plasma prolactin levels after a bolus injection of thyrotropin-releasing hormone in the midluteal phase during cimetidine administration did not differ from the mean control levels, which indicates that cimetidine modulates the release of prolactin at the suprapituitary locus. However, the significance of the endocrine changes remains to be established.     

The effects of aging on hormone and reproductive cycles in female chimpanzees (Pan troglodytes)

In contrast to those for human females, observational cycle data available for chimpanzees suggest that menstrual cycling, and thus reproductive potential, continues until near death. This study documents age-related changes in estrous cycling and hormone profiles in 14 female chimpanzees (Pan troglodytes) ranging in age from 31 to 50 y. Estrous data were analyzed from daily cycle charts, averaging 13.3 y of cycle data per subject, after omission of gestational and postpartum amenorrhea. Concentrations of total luteinizing hormone (LH), follicle-stimulating hormone (FSH), estradiol (E2), and other hormones were assayed in serum samples taken biannually. Sample collection times were chosen to avoid the ovulatory LH and FSH peaks of the female's cycle and yielded a mean of 19.6 serum samples over an average of 14.4 y per subject. Analysis of cycle charts revealed a negative relationship between age and the percentage of cycle days at maximal tumescence. There also were positive relationships between age and the length of the estrous cycle and age and the percentage of cycle days at complete detumescence. Analysis of hormonal data revealed curvilinear relationships between age and both LH and FSH. These cycle and hormonal changes mirror those in perimenopausal and menopausal women. Our data provide evidence of perimenopause (at 30 to 35 y) and menopause (at 35 to 40 y) in the chimpanzee.     

Effects of ovarian tissue reduction on the menstrual cycle: persistent normalcy after near-total oophorectomy

These experiments were designed to evaluate whether removal of approximately 95% visible ovarian tissue would interrupt the short- or long-term regulation of cyclic ovarian function. On cycle Days 2 4 (onset of menses = Day 1), the entire left ovary and approximately 90% of the right ovary were removed from three cycling cynomolgus monkeys. After approximately 95% ovariectomy, there was an acute elevation of follicle-stimulating hormone (FSH) and luteinizing hormone (LH), which lasted 11 +/- 2 days. A midcycle-like gonadotropin surge occurred 20 +/- 3 days following approximately 95% ovariectomy; the next menses occurred 19 +/- 1 days later. Follicular phase patterns of estradiol preceded the midcycle gonadotropin surge, and luteal phase progesterone levels indicated subsequent ovulation. Two of three monkeys resumed normal menstrual cyclicity in the following cycle with follicular phase, luteal phase, and menstrual cycle lengths similar to pretreatment levels. Histological examination of the ovarian remnant removed on Day 21 of the next cycle revealed a morphologically normal corpus luteum and many small follicles. A second group of 6 rhesus monkeys also underwent approximately 95% ovariectomy for long-term evaluation of menstrual cyclicity; typical 28-day menstrual cycle patterns were observed in 4 of the 6 monkeys for 5 mo, with 2 of these 3 animals maintaining regular menstrual cycles for 1 yr. In summary, our data suggest that normal ovarian function, i.e. recruitment, selection, and dominance of the ovulatory follicle, ovulation, and subsequent corpus luteum function, is maintained with only approximately 5% of functional ovarian tissue remaining.(ABSTRACT TRUNCATED AT 250 WORDS)     

Sex hormones correlated with sex skin swelling and rectal temperature during the menstrual cycle of the pigtail macaque (Macaca nemestrina).

Daily measurement of serum luteinizing hormone, estradiol-17beta, and progesterone were made during the menstrual cycle in nine pigtail macaques (Macaca nemestrina). All data were normalized to the day of the luteinizing hormone peak. Serum estradiol-17beta increased from approximately 100 pg/ml during the early follicular phase to 442 +/- 156 pg/ml during the maximum midcycle concomitant with the luteinizing hormone peak, and a small increase in serum estradiol-17beta was observed during the luteal phase coincident with the progesterone peak. Serum progesterone values increased slightly at the time of the luteinizing hormone peak and increased from 0.2-0.3 ng/ml during the midfollicular phase to peak levels of 8.3 +/- 1.75 ng/ml 9 days after the luteinizing hormone surge. Serum luteinizing hormone remained low and relatively constant throughout the early and midcycle, then sharply increased approximately four-fold to peak values of 6.25 +/- 0.9 ng/ml. Sex skin swelling increased slowly during the follicular phase and declined slowly throughout the early luteal phase. Rectal temperature did not change significantly throughout the menstrual cycle. The similarity of plasma sex hormone changes during the menstrual cycle between women and the pigtail macaque suggested that this nonhuman primate should be a useful animal model for studying human reproduction.     

Diurnal rhythms of free estradiol and cortisol during the normal menstrual cycle in women with major depression

To investigate whether depression is accompanied by changes in diurnal rhythms of free estradiol and cortisol in different phases of the menstrual cycle, we measured these two hormone levels in saliva samples collected every 2 h for 24 h from 15 healthy normally cycling women and 12 age-matched normally cycling women suffering from major depression taking antidepressants. The assessments were repeated four times over one menstrual cycle: during menstruation and in the late follicular/peri-ovulating, early to mid-luteal and late luteal phases, respectively. Quantification with a nonlinear periodic regression model revealed distinct diurnal rhythms in free estradiol and free cortisol in all subjects. For the diurnal cortisol rhythm, significant differences were found in the peak-width and ultradian amplitude among different menstrual phases, both in controls and depressed patients, while no significant differences were found between the two groups. The diurnal estradiol rhythm, on the other hand, was quite consistent among different menstrual phases within both groups, while the depressed patients had overall larger amplitudes than controls, which is negatively correlated with disease duration. Significant positive correlations between the two hormone rhythms were found for 24-h mean level (mesor), peak, and trough in late luteal phase, and for ultradian harmonics in early to mid-luteal phase in controls, but only for ultradian harmonics in late follicular/peri-ovulating phase and for acrophase in the menstruation phase in depressed patients. A sub-analysis was also performed in patients who received Fluoxetine (n = 7). The findings implicate a close correlation between the hypothalamic-pituitary-adrenal axis and the hypothalamic-pituitary-gonadal axis, both of which may be involved in depression.     

Cyclic variation in women’s preferences for masculine traits

Women’s preferences for several male traits, including voices, change over the menstrual cycle, but the proximate causes of these changes are unknown. This paper explores relationships between levels of estradiol, progesterone, luteinizing hormone, follicle stimulating hormone, prolactin, and testosterone (estimated using menstrual cycle information) and women’s preferences for male vocal masculinity in normally cycling and hormonally contracepting heterosexual females. Preferences for vocal masculinity decreased with predicted progesterone levels and increased with predicted prolactin levels in normally cycling—but not hormonally contracepting—women. Adaptive explanations for menstrual variation in women’s preferences for masculine traits are discussed and evaluated in light of these findings.     

Cortisol and hypothalamic–pituitary–gonadal axis hormones in follicular-phase women with fibromyalgia and chronic fatigue syndrome and effect of depressive symptoms on these hormones

We investigated abnormalities of the hypothalamic–pituitary–gonadal axis and cortisol concentrations in women with fibromyalgia and chronic fatigue syndrome (CFS) who were in the follicular phase of their menstrual cycle, and whether their scores for depressive symptoms were related to levels of these hormones. A total of 176 subjects participated – 46 healthy volunteers, 68 patients with fibromyalgia, and 62 patients with CFS. We examined concentrations of follicle-stimulating hormone, luteinizing hormone (LH), estradiol, progesterone, prolactin, and cortisol. Depressive symptoms were assessed using the Beck Depression Inventory (BDI). Cortisol levels were significantly lower in patients with fibromyalgia or CFS than in healthy controls (P < 0.05); there were no significant differences in other hormone levels between the three groups.     

Copeptin Levels Remain Unchanged during the Menstrual Cycle

Background

Copeptin, a surrogate marker for arginin vasopressin production, is evaluated as an osmo-dependent stress and inflammatory biomarker in different diseases. We investigated copeptin during the menstrual cycle and its relationship to sex hormones, markers of subclinical inflammation and estimates of body fluid.

Methods

In 15 healthy women with regular menstrual cycles, blood was drawn on fifteen defined days of their menstrual cycle and was assayed for copeptin, progesterone, estradiol, luteinizing hormone, high-sensitive C-reactive protein, tumor necrosis factor-alpha and procalcitonin. Symptoms of fluid retention were assessed on each visit, and bio impedance analysis was measured thrice to estimate body fluid changes. Mixed linear model analysis was performed to assess the changes of copeptin across the menstrual cycle and the relationship of sex hormones, markers of subclinical inflammation and estimates of body fluid with copeptin.

Results

Copeptin levels did not significantly change during the menstrual cycle (p = 0.16). Throughout the menstrual cycle, changes in estradiol (p = 0.002) and in the physical premenstrual symptom score (p = 0.01) were positively related to copeptin, but changes in other sex hormones, in markers of subclinical inflammation or in bio impedance analysis-estimated body fluid were not (all p = ns).

Conclusion

Although changes in estradiol and the physical premenstrual symptom score appear to be related to copeptin changes, copeptin does not significantly change during the menstrual cycle.     

Periovulatory time courses of plasma estradiol and progesterone in the Japanese monkey (Macaca fuscata)

Periovulatory time courses of plasma estradiol and progesterone were determined in 21 menstrual cycles of 20 Japanese monkeys. Both steroids were measured by radioimmunoassay. Ovulation was detected by serial laparoscopic observations of the ovaries. Three of the 21 cycles were anovulatory cycles. In the remaining 18 ovulatory cycles, a preovulatory estradiol peak occurred on day 12.2±1.4 (range 10–15) of the menstrual cycle. The estradiol concentration at the peak was 431±199 (range 210–930) pg/ml. The time interval between the estradiol peak and ovulation was within 48 hr; the shortest interval was 10–13 hr and the longest 32–48 hr. Although the progesterone levels began to increase slightly (0.6–1.4 ng/ml) before ovulation, they did not show a continuous increase but decreased once before ovulation. The increase in progesterone with development of the corpus luteum after ovulation was very gradual during the first 2 days after ovulation. Subsequently, in 13 of 18 ovulatory cycles the progesterone levels rose rapidly and reached a maximum, 4.0±1.2 (range 2.3–5.7) ng/ml, 4–8 days after ovulation. In 5 of the 18 cycles, the progesterone levels did not rise at all or did not exceed 2.0 ng/ml even if they showed more or less an increase. In the 5 cycles, the length of the luteal phase was 8.2±1.6 (range 6–10) days, which was significantly shorter than that of the former 13 cycles with 14.0±1.1 (range 13–16) days.     

Novel hyperprolactinemia and hyperprolactinemic anovulation model using the cynomolgus monkey (Macaca fascicularis)

We investigated the relationship between the menstrual cycle and hormone levels in cynomolgus monkeys, and developed a sulpiride-induced hyperprolactinemic anovulation model. On this study, we demonstrated the usefulness of the commercial human prolactin immunoradiometric assay kit for the measurement of cynomolgus monkey serum samples. In the normal menstrual cycle of the cynomolgus monkey, serum prolactin concentrations were not significantly different between luteal and follicular phases. However, the serum prolactin concentration tended to elevate at the ovulation stage. And serum progesterone began to increase after an estradiol surge, and then declined before the ensuing preovulatory rise in estradiol. During the luteal phase, the serum concentration of progesterone was elevated. Moreover, we aimed to develop an anovulation model, using sulpiride-induced hyperprolactinemia in the cynomolgus monkey. The serum prolactin level gradually increased during the twice-daily administration of sulpiride, and the drug produced as big a response at 5 mg/kg. In this study, the length of the menstrual cycle was approximately 29 days in normal cynomolgus monkeys. When treatment with sulpiride had been continued for more than one month, serum progesterone and estradiol levels fell to within the range seen in the follicular phase of the normal cycle, and the absence of ovulation was recognized by laparoscopy. Moreover, in this period we found that amenorrhea or anovulatory menstruation in the experimental animals. We could produce an anovulatory model induced by sulpiride repeatedly administered over a long time period. Our findings suggest that the cynomolgus monkey is useful as a endocrinological model that uses prolactin as a parameter and as an anovulatory model; thus, it could be a useful model for the hyperprolactinemic amenorrhea and/or anovulation seen in humans.     

Modification of the level of pituitary FSH in pregnant rats subjected to the luteinizing or ovulatory action of estradiol

In pregnant female rats injected on the 10th day of pregnancy with 10 mcg of estradiol, pituitary follicle stimulating hormone (FSH) is released on the 12th day, simultaneously with luteinizing hormone (LH) and a luteinizing or ovulatory effect. It is concluded that the test, which is described in detail, supports the hypothesis concerning the role played by FSH in determining the luteinizing action induced by estrogen in pregnant females, according to which the luteinizing effect is only produced when estradiol induces the simultaneous release of LH and FSH.     

Will the first dominant follicle of the estrous cycle of heifers ovulate following luteolysis on day 7?

The pattern of turnover of dominant follicles involves the sequential growth and regression of two to three dominant follicles during the estrous cycle. The dominant follicle that ovulates is the one that develops concomitantly with the regression of the corpus luteum. The aim of this paper was to determine if the first dominant follicle would ovulate following induction of luteolysis with prostaglandin F2 alpha analogues (PGF) on Day 7 of the cycle. Heifers (n = 43) were checked for estrus (Day 0); their ovaries were scanned daily from Day 6 of the cycle for one week, and the fate of the first dominant follicle was determined. Luteolysis was induced on Day 7 with PGF analogues, and blood samples were taken daily for progesterone and estradiol measurement and at 3-h intervals for 33 h for luteinizing hormone (LH) measurement. Of the 43 heifers given PGF, complete luteolysis occurred in 40 animals. Of these, the first dominant follicle ovulated in 37 heifers; the dominant follicle was not the ovulatory follicle in 2 heifers and the dominant follicle became cystic in one heifer.