Hum. Reprod. Advance Access originally published online on July 18, 2007
Human Reproduction 2007 22(9):2414-2421; doi:10.1093/humrep/dem204
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Serum anti-Müllerian hormone and FSH: prediction of live birth and extremes of response in stimulated cycles—implications for individualization of therapy
1 Reproductive and Maternal Medicine, Division of Developmental Medicine, University of Glasgow, 10 Alexandra Parade, Glasgow G31 2ER, UK 2 Assisted Conception Unit, Glasgow Royal Infirmary, Glasgow G31 2ER, UK
3 Correspondence address. Tel: +44 141 211 4706; Fax: +44 141 552 0873; E-mail: s.nelson{at}clinmed.gla.ac.uk
| Abstract |
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BACKGROUND: Serum concentrations of anti-Müllerian hormone (AMH) correlate with oocyte yield in assisted reproduction treatment (ART) cycles, however, performance of AMH for prediction of live birth is unknown.
METHODS: A total of 340 first cycle IVF/ICSI patients (median age 34.0 years, inter-quartile range 31.0–37.0 years), had basal plasma AMH and FSH measured and their predictive values for live birth and oocyte yield compared.
RESULTS: AMH predicts live birth [contribution to variance (CTV) 3.84%, P < 0.001] and oocyte yield (r = 0.71, P < 0.0001, CTV 7.3%, P < 0.0001). Compared with age and FSH, AMH performs better in prediction of live births [area under receiver operating characteristic curve (AUC) 0.62, 95% CI 0.55–0.68; FSH AUC 0.42, 95% CI 0.35–0.49; age AUC 0.48, 95% CI 0.41–0.55, P = 0.0028] and excessive response to ovarian stimulation (AMH AUC 0.90, 95% CI 0.83–0.96; FSH AUC 0.32, 95% CI 0.23–0.40; age AUC 0.57, 95% CI 0.43–0.71, P < 0.001). AMH prediction of oocyte yield is independent of age (r = –0.28, P < 0.0001, CTV 1.4%, P = 0.006), however, a significant negative interaction (CTV 3.6%, P < 0.0001) exists. AMH demonstrates improved differential distributions for non-, poor, normal and excessive ovarian responses relative to FSH and age.
CONCLUSIONS: Plasma AMH is a superior predictor of live birth and anticipated oocyte yield compared with FSH and age, facilitating individualization of therapy prior to first ART cycle.
Key words: anti-Müllerian hormone/live birth/controlled ovarian stimulation
| Introduction |
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There has been increasing interest in identification and the relative performance of tests of ovarian reserve prior to embarking on controlled ovarian stimulation (Broekmans et al., 2006
Anti-Müllerian hormone (AMH, Müllerian-inhibiting substance), a member of the transforming growth factor-
family, has the primary role of regression of the Müllerian duct in the male fetus during early testis differentiation. However, expression of AMH persists after completion of reproductive duct system development in males, and commences in females in early fetal life, where it is produced by ovarian granulosa cells (Modi et al., 2006
). In females, AMH appears to have inhibitory effects upon the recruitment of primordial follicles (Durlinger et al., 2002
) and it may decrease the sensitivity of large pre-antral and small antral follicles to FSH (Durlinger et al., 2001
). However, recent analyses of human follicles examining AMH receptor expression suggests that inhibitory effects at the earliest stages of follicle development are unlikely (Rice et al., 2007
). Although AMH is initially observed in granulosa cells of primary follicles, maximal expression occurs in pre-antral and small antral follicles (Laven et al., 2004
; Weenen et al., 2004
). AMH expression declines as antral follicles increase in size, with nominal expression restricted to the granulosa cells of the cumulus (Weenen et al., 2004
). This loss of AMH expression during the FSH-dependent final stages of follicular growth, and the lack of expression by atretic follicles (Baarends et al., 1995
), suggests that basal levels of AMH may more accurately reflect the total developing follicular cohort and consequently potential ovarian response to FSH. Furthermore, AMH has been shown to not fluctuate across the menstrual cycle (Cook et al., 2000
; La Marca et al., 2004
,2006
), consistent with its role reflecting the continuous, non-cyclic growth of small follicles in the ovary.
In harmony with the established relationship between age and declining ovarian reserve, AMH falls linearly with increasing age (de Vet et al., 2002
; Fleming et al., 2006
). This occurs in conjunction with reductions in the antral follicular count, which is strongly correlated to plasma AMH levels (van Rooij et al., 2002
; Fanchin et al., 2003
). AMH has consequently been explored as a predictor of ovarian response to FSH in cycles of ART (van Rooij et al., 2002
; Fanchin et al., 2003
; Hazout et al., 2004
; Muttukrishna et al., 2004
,2005
; Penarrubia et al., 2005
) and oocyte quality (Ebner et al., 2006
). However, most of these studies have included relatively small series of patients (n = 56–141). In combination with its ability to be measured throughout the menstrual cycle, AMH has been proposed as an optimal measure of ovarian reserve and an accurate predictor of cycle cancellation (Muttukrishna et al., 2004
; Penarrubia et al., 2005
) or poor responder status (van Rooij et al., 2002
; Eldar-Geva et al., 2005
; Muttukrishna et al., 2005
; Tremellen et al., 2005
). Although these studies collectively demonstrate the potential value of AMH, its merits with respect to the prediction of live birth are unknown. Furthermore, clarification of its merits across the whole spectrum of ovarian response, including an excessive response, relative to the established markers of age and early follicular FSH is required. The current study, a large prospective cohort study which examines the value of AMH to predict live birth and ovarian response to controlled ovarian stimulation in a first cycle of ART in an unselected population, provides a comprehensive analysis as well as the opportunities for considering different therapeutic strategies based on basal AMH values.
| Materials and Methods |
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Patients and treatment
Successive patients undergoing their first ART cycle (n = 340) were down-regulated with a depot GnRH agonist (Prostap SR 3.75 mg, Wyeth, Maidenhead, UK) initiated on cycle day 21. Stimulation was commenced 2 weeks later, when the circulating estradiol (E2) was <100 pg/ml (350 pmol/l), combined with a thin endometrium, and no ovarian cysts on transvaginal ultrasound scan. Ovarian stimulation was effected with exogenous gonadotrophins in the form of either Menogon (Ferring Pharmaceuticals, Langley, UK) or Gonal-F (Serono, Feltham, UK). The starting daily dose of FSH was determined by age, whereby women of <36 years received 225 IU and those >36 years received 300 IU each day. Ovarian follicular responses were monitored with serum E2 concentrations and transvaginal ultrasound assessment of follicular growth. The first response scan was performed on S8 (stimulation day 8), providing the FolsS8 value, and subsequent scans were performed according to the S8 response. Ovulation was induced with 6500 IU HCG (Ovitrelle, Serono, Feltham, UK), provided that three follicles were
17 mm in diameter and serum E2 was
200 pg/ml. Transvaginal oocyte retrieval was performed under ultrasound guidance 38 h after HCG administration and the number of oocytes retrieved recorded. Frozen embryo transfers were performed 3 days after an LH surge.
Assays
One month before treatment, an early follicular blood sample (cycle day 2–5) was taken for assay of FSH and AMH. The FSH concentrations in peripheral plasma were estimated using the Immulite semi-automated assay system (DPC, Los Angeles, CA, USA). Inter and intra-assay coefficients of variations were 6.5% and 6.1% respectively. Early follicular FSH concentrations were only considered valid if circulating E2 levels were
150 pmol/l. The AMH assay was performed in batches using the enzyme-linked immunosorbent assay provided by DSL (Webster, Texas, USA), with values presented as pmol/l (conversion factor to pmol/l = ng/ml x 7.143). Inter and intra-assay coefficients of variation were 5.3 and 5.4% respectively.
Definitions
FolsS8—the stockpile of follicles responding to exogenous FSH was estimated by counting the number of follicles
12 mm, determined on on the basis of previous observations that the minimum size of lead follicle at S8 was 12 mm in >85% of cycles (Fleming et al., 2006
).
No response to FSH in ART cycles was defined as discontinuation of treatment because of negligible follicular development after 12 days of stimulation.
Poor response to FSH in ART cycles was defined as
2 oocytes obtained at retrieval, as this represented –2 SDs from the mean number of oocytes collected and allowed for a 66% yield per follicle at oocyte retrieval, given the HCG criteria of three follicles
17 mm.
Excess response to FSH in ART cycles was defined as a yield of
21 oocytes obtained at retrieval, as this was used by our unit to dictate freezing of all embryos and no immediate replacement.
Live birth incorporated all births arising from the study cycle of controlled ovarian stimulation and included all live births derived from fresh and subsequent frozen embryo transfers. Embryos were only frozen if there were two embryos with a quality score of
7 out of 10 using a standardised scoring system (Association of Clinical Embryologists).
Statistics
The distribution of groups of variable data was assessed, and Gaussian or non-Gaussian distributions were treated appropriately. Analysis across groups was by analysis of variance or Kruskal–Wallis as appropriate. Spearman correlation coefficients were used to assess the relationships between the parameters. FSH and AMH were logarithmically transformed for assessment in general linear models. Stepwise logistic regression was performed using an alpha of P
0.15 for adding or removing predictors from the model. Non-parametric receiver operating characteristic (ROC) curves were generated for FSH and AMH to compare ability of parameters to predict ovarian response and the area c (AUC) tested for equality (DeLong et al., 1988
). The sensitivity, specificity, percentage correctly classified and the positive and negative likelihood ratio were calculated for derived AMH cut-off values (Choi, 1998
). AMH and FSH quintiles were calculated for the whole population and mean oocyte yield and live birth calculated for each quintile. The statistics packages used were Minitab v14 (Minitab®, State College, Pennsylvania, USA) and Stata v8 (StataCorp LP, College Station, Texas, USA). Significance was determined when P
0.05.
| Results |
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Baseline patient information
Median age was 34.0 years (inter-quartile range 31.0–37.0 years), and the BMI was 24.5 ± 3.2 (mean ± SD). There was a 4 year history of infertility (inter-quartile range 3–4 years), with 142 cases (41.7%) having a male component requiring ICSI. Concentrations of FSH showed a non-Gaussian distribution with median value of 7.5 IU/l (inter-quartile range 5.9–10.0 IU/l) and a mean of 12.6 IU/l (SEM 0.28 IU/l). AMH showed a similar distribution with median 9.3 pmol/l (inter-quartile range 5.7–16.4 pmol/l) and a mean of 12.6 pmol/l (0.72 pmol/l). The overall live birth rate for the cohort was 27.4%.
Patient characteristics relative to ovarian response (Table 1) revealed the known relationship between age and response to exogenous gonadotrophins. Non-responders were older than women who had a normal (P < 0.01) or excessive response (P < 0.01) (Table 1). Women with an excessive response were characterized as being significantly younger (P < 0.01). This association between age and ovarian response was reflected on stimulation day 8 with the excessive response group having a higher number of follicles
12 mm (P < 0.05). Live birth rates reflected oocyte yields with the highest rates in those women with an excess response (P < 0.001).
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AMH and FSH relative to live birth
Analysis of live birth rate relative to AMH and FSH quintiles (Fig. 1) demonstrated that although there was a significant relationship between increasing AMH and escalating live birth rate, above an AMH concentration of >7.8 pmol/l there was no discrimination in live birth rates. Similarly, for women with FSH <10.7 IU/l there was no significant differences in live birth rates. ROC analysis demonstrated that AMH [AUC 0.62, 95% confidence interval (CI) 0.55–0.68] was superior to FSH (AUC 0.42, 95% CI 0.35–0.49; P < 0.001) or age (AUC 0.48, 95% CI 0.41–0.55) in predicting live birth.
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Assessment of the independence of AMH, FSH and age to predict live birth rate was undertaken by a stepwise regression model. This revealed that AMH was the only independent predictor [
positive, contribution to variance (CTV) 3.84%, P < 0.001]. Analysis of whether AMH predicted live birth independent of a correlation with oocyte yield was performed by inclusion of oocyte yield in a second model. In this model oocyte yield (
positive, CTV 5.8%, P < 0.001) was the only predictor of live birth.
AMH and FSH relative to category of ovarian response
The relationship between oocyte yield at oocyte retrieval and baseline parameters was examined (Table 2). Consistent with previous studies, age was positively correlated with FSH, and was negatively related to AMH and oocyte yield. Increasing FSH was associated with a reduction in AMH and oocyte yield. AMH demonstrated a remarkably strong correlation to oocyte yield and appeared to be the best predictor of oocyte yield (r = 0.71, P < 0.0001). Analysis of the independent predictive ability of age, BMI, log FSH and log AMH in a general linear model revealed that age (CTV 1.4%, P = 0.006) and AMH (CTV 7.3%, P < 0.0001) were the only independent predictors of oocyte yield, however, a significant negative interaction between age and AMH was present (CTV 3.6%, P < 0.0001).
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The baseline concentrations of FSH and AMH were examined in the four categories of responders. FSH was significantly higher in non- (P < 0.001) and poor (P < 0.001) responders compared with normal responders (Fig. 2). Women with an excessive response had similar FSH levels to normal responders. AMH was significantly lower in non- (P < 0.001) and poor (P < 0.001) responders and was higher in women who had an excessive response (P < 0.001) (Fig. 2). AMH appeared to be a better discriminator of the four groups; however, there appeared to be significant overlay of low values of AMH in women who either had a poor, non- or normal response (Fig. 3). Consistent with the strong correlation between AMH and oocyte yield there was little overlay in women who had an excessive response (Fig. 3). A comparison of the frequency distributions of log AMH and log FSH demonstrated that each category of AMH response demonstrated greater discrimination compared with that of FSH (Fig. 3).
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Formal assessment of the predictive ability of age, AMH and FSH to correctly identify women at risk of non-, poor or excessive responses was undertaken by calculating ROC curves and the AUC, 95% CI. In the non-responder category, AMH concentrations were significantly lower than other categories, but AMH was a poorer predictor (AUC 0.073, 95% CI 0.02–0.12; P < 0.001) than FSH (AUC 0.782, 95% CI 0.68–0.88) or age (AUC 0.717, 95% CI 0.62–0.82), which were of equivalent efficacy (P = 0.32). In women who had an FSH >25 (n = 5) there was only one woman who responded and had
2 oocytes, and once FSH was
30 all women (n = 4) were non-responders. Similar cut-offs could not be derived for age, as even at 44 years old, the oldest age within our cohort, there were cases of normal responders. In the poor responder category, AMH appeared to be inferior (AUC 0.227, 95% CI 0.14–0.31; P < 0.001) to FSH (AUC 0.762, 95% CI 0.64–0.88) or age (AUC 0.569, 95% CI 0.43–0.71), which again showed equivalent efficacy (P = 0.06).
AMH performed significantly better at identifying women at risk of an excessive response to controlled ovarian stimulation (AUC 0.90, 95% CI 0.83–0.96; P < 0.001) than FSH (AUC 0.321, 95% CI 0.23–0.40) or age (AUC 0.569, 95% CI 0.43–0.71), which were of equivalent efficacy (P = 0.44).
ROC performance can be driven by extreme values, as evident by inclusion of women in this prospective cohort with FSH >30. Therefore, analysis of oocyte yield relative to AMH and FSH quintiles (Fig. 4) demonstrated that although there was a relationship between increasing FSH and declining oocyte yield, this compared poorly to the predictive ability of AMH.
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Further analysis of AMH with determination of pragmatic clinical cut-offs; <1.0, 1 to <5.0, 5.0 to <15, 15 to <25 and
25 pmol/l, demonstrated that in the 23 women who had an AMH of <1.0 pmol/l, 19 women did not receive HCG, 1 woman had a poor response and 3 women responded normally as per our criteria, although only 3 oocytes were retrieved in each case. When AMH was 1.0 to <5.0 pmol/l, 17 women out of 41 (41%) were either non- or poor responders, with a median of 4 oocyte (inter-quartile range 3.0–7.75) in normal responders. For identification of women at risk of an excessive response, an AMH
15 pmol/l had 88.0% sensitivity and 76.9% specificity, 77.8% women were identified correctly, positive likelihood ratio 3.8 and a negative likelihood ratio of 0.15. If AMH was
25 pmol/l this had a lower sensitivity of 60%, 94.9% specificity, 92.2% women were correctly identified, positive likelihood ratio 11.8 and a negative likelihood ratio of 0.42. Using this upper limit of 25 pmol/l AMH, even in women who were not classed as having an excessive response by our definition, a median of 13 oocytes (inter-quartile range 10–14) were collected. | Discussion |
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In this study, we demonstrate that plasma AMH is strongly correlated to oocyte yield and is an accurate predictor of live birth and risk of an excessive response to controlled ovarian stimulation. This, the largest cohort to date of an unselected population of patients undergoing their first treatment cycle, extends previous observations regarding pregnancy rates (Eldar-Geva et al., 2005
The relationship between increasing AMH and live birth probably reflects the strong correlation between AMH and oocyte yield, as AMH was not an independent predictor of live birth after incorporation of oocyte yield into our models. High AMH has been associated with improved pregnancy rates (Eldar-Geva et al., 2005
), consistent with a correlation with numbers of mature oocytes and subsequently embryos (Hazout et al., 2004
) available for transfer. The observation that AMH does not predict live birth independent of oocyte yield indicates that AMH does not predict oocyte or embryo quality (Smeenk et al., 2007
). Increasing FSH (Frazier et al., 2004
; Abdalla et al., 2006
) and age (Frazier et al., 2004
) have previously been shown to be negative predictors of live birth, however, our ROC analysis suggests that these are inferior predictors relative to AMH, reflecting the relative correlations to oocyte yield—the principal determinant of live birth.
The ability of AMH to identify women at risk of an excessive response may reflect the relative contribution from the different follicle classes to final plasma levels and their potential recruitment. Ovarian AMH expression is minimal in primordial follicles but increases in association with follicular development and expression is maximal in pre-antral follicles (Weenen et al., 2004
). In conditions where pre-antral follicle numbers are increased, such as polycystic ovary syndrome (PCOS) (Hughesdon, 1982
), AMH plasma levels are elevated (Laven et al., 2004
; Fleming et al., 2005
; Piltonen et al., 2005
). Consistent with our described relationship between increased AMH and excessive response to controlled ovarian stimulation, women with PCOS are at substantial risk of excess ovarian responses and development of ovarian hyperstimulation syndrome (OHSS) (Delvigne et al., 2002
). Improved discrimination of women at risk of OHSS should be possible using AMH prior to controlled ovarian stimulation.
Although there is a clear association between AMH and oocyte yield, we demonstrate that AMH performs relatively poorly as a screening test for either potential cycle cancellation or poor response to controlled ovarian stimulation according to the ROC analyses. This is due to the overlap in distribution of plasma levels of AMH in women who have a potentially normal response. In women with premature ovarian failure, AMH levels are low compared with normal (Meduri et al., 2007
), however, plasma AMH levels are still within the detectable range in 40% of such women and within the normal range in a few patients, despite minimal to nil follicles on ovarian biopsy (Meduri et al., 2007
). This overlap hinders AMH as an absolute predictor of non-responder status to controlled ovarian stimulation and therefore it is not feasible to suggest that a woman should not undergo controlled ovarian stimulation based on a low plasma AMH value. This contrasts with extremely elevated FSH, where we clearly demonstrate that the risk of cancellation is high and even when undergoing oocyte retrieval, the number of oocytes obtained is very low. Consequently, adjustment of a patients expectations is required and consideration given to individualization of a therapeutic strategy.
Ovarian reserve is currently defined as the number and quality of the follicles left in the ovary at any given time, and the values of tests for ovarian reserve (meaning the number of recruitable follicles) prior to ovarian stimulation, particularly if it is maximal has recently been questioned (Broekmans et al., 2006
). Most of the follicles in the ovary will be primordial, and although AMH is not thought to be expressed in human primordial follicles (Weenen et al., 2004
), there is a strong correlation between AMH and primordial follicle number in mice (Kevenaar et al., 2006
), consistent with a role for AMH as a measure of ovarian reserve. However, this role is dependent upon a close relationship between the stockpile of primordial follicles and the number of developing follicles. In fact, not all primordial follicles will successfully make the transition to primary follicles, and age has profound effects on rates of follicular growth and atresia dynamics (Faddy, 2000
). Consequently it is not until this transition has occurred and a potentially FSH recruitable primary follicle has developed that AMH starts to be expressed in significant amounts, thereby potentially explaining why age is a poorer correlate than AMH of the number of oocytes obtained after controlled ovarian stimulation. The observed independence of age and AMH in predicting oocyte response may reflect their individual contributions to the process of follicular growth dynamics, with age influencing the proportion of follicles making the transition from primordial to recruitable follicles. AMH in turn may reflect the number of follicles, which successfully made the transition to a FSH sensitive phenotype. The negative interaction between AMH and age in response to controlled ovarian stimulation, suggests that older women with a low AMH will yield fewer oocytes than a younger woman with the same AMH. This interaction may reflect age dependent increases in apoptotic changes in granulosa cells, which occur independent of oocyte yields (Sadraie et al., 2000
). Furthermore, the degree of granulosa cell apoptotic damage is reflected in oocyte quality (Nakahara et al., 1997
a,b
; Oosterhuis et al., 1998
). The reduction in AMH with age may therefore reflect a reduction in number of functional granulosa cells per follicle, with this relationship also underlying the association between AMH and oocyte quality (Ebner et al., 2006
).
The clear relationship between plasma AMH and oocyte yield may allow optimization of treatment strategies prior to the first cycle of ovarian stimulation. In women with a low AMH (e.g. <1.0 pmol/l) either cycle cancellation (~80%) or
2 oocytes are anticipated. For this group of women, management is difficult and perhaps the shorter regimens may result in less stress to the patient than a long course agonist cycle with 3–4 weeks intensive treatment to yield few oocytes. A variety of options have been explored as alternative concepts with at best limited success (Tarlatzis et al., 2003
; Garcia-Velasco et al., 2005
; Balasch et al., 2006
; Massin et al., 2006
). An alternative strategy for this group could be natural cycle IVF, although at present results are inconsistent (Bassil et al., 1999
; Feldman et al., 2001
; Pelinck et al., 2002
; Tarlatzis et al., 2003
; Kolibianakis et al., 2004
; Ziebe et al., 2004
; Check, 2005
; Elizur et al., 2005
; Trokoudes et al., 2005
). Furthermore, patients would need to accept that a protracted treatment programme would be required and that not every cycle would result in embryo transfer. However, women who are forewarned of the likelihood of these events can begin to formulate coping strategies prior to treatment. For women with an AMH of 1 to <5 pmol/l, they are still at risk of either cycle cancellation or a poor response and therefore a protracted long course agonist cycle is likely to achieve no benefit over an antagonist regimen, which may be more appropriate. Whether a maximal gonadotrophin dose is beneficial remains to be determined, but with a category based upon AMH concentration these concepts can be explored prospectively and objectively. Although there is no evidence that antagonist regimens are better than agonist regimens in poor responders (Akman et al., 2000
,2001
; Copperman, 2003
; Malmusi et al., 2005
; Marci et al., 2005
) and in fact may result in, on average, one fewer oocyte, they have the substantial benefit of enabling early cycle cancellation if an inadequate response is obtained. Women with an AMH of 5 to <15 pmol/l have a high probability of a normal response to a standard long course agonist regime, and we suggest that there is little current evidence to alter that strategy. Again with this categorization, the appropriate FSH dose can be explored—perhaps depending upon age. Women with an AMH of 15 to <25 pmol/l show an excessive response and we would recommend consideration of a protocol mindful of the increased risk of OHSS. This could employ a GnRH agonist regimen with a reduced dose of 150 IU FSH, depending on BMI, or an antagonist regime where the risk of OHSS may be reduced (Al-Inany et al., 2006
). Women with an AMH
25 pmol/l show an excessive response to exogenous gonadotrophins and are at substantial risk of developing OHSS. This cohort of women should be treated with a GnRH antagonist regimen (again dose explored with respect to BMI) which has been shown to reduce the risk of OHSS (Al-Inany et al., 2006
).
In summary, this study demonstrates that basal plasma AMH can predict live birth rates in ART cycles stimulated with long course controlled ovarian stimulation, through its relationship with oocyte yield. AMH and age are independently related to oocyte yield and also have a significant negative interaction reflecting their relative contributions to follicular and oocyte ontogeny. We propose that clinicians can prospectively examine the concept of individualized and optimized treatment strategies based on AMH prior to the first treatment cycle. This approach will also allow adjustment of patient expectations accordingly and potentially minimize psychological and physical morbidity due to the extremes of response observed with controlled ovarian stimulation.
| Acknowledgements |
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This study would not have been possible without the ongoing support and clinical workload undertaken by the clinical, nursing, administration and embryology staff of the Assisted Conception Service, Glasgow Royal Infirmary. We acknowledge the expert technical help of Elaine and William McNally, and Marie McGhee who performed the AMH and FSH analyses, and confirmed the validity of the clinical database.
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Submitted on February 14, 2007; resubmitted on June 6, 2007; accepted on June 13, 2007.
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