Michele Bourquin, an account executive from Atlanta, was 36 and divorced when she first looked into freezing her eggs.

“I knew I wasn’t getting any younger, and my eggs were aging,” Bourquin said.

So she visited a doctor who gave her a blood test that is often used to check a woman’s egg supply. It works by looking for anti-Mullerian hormone, of AMH, which is secreted by growing follicles, the sacs that house each egg.

The results were not good, she was told. Her AMH was too low and her follicle stimulating hormone level was too high, both indicators of diminished egg quantity. In other words, it would most likely take multiple procedures to bank enough eggs.

At about $15,000 each, the cost was prohibitive, and her insurance did not cover egg freezing or fertility treatments. A nurse suggested that she use donor eggs.

“I was pretty devastated,” Bourquin said.

Two years later, she remarried. Bourquin and her husband conceived naturally on the first try. Her doctor was “stunned,” Bourquin said.

“We even went and bought a lottery ticket,” she said. “We were like, are you kidding me?”

Bourquin’s daughter is now 2 years old.

New research published in the Journal of the American Medical Association underscores what Bourquin experienced, and what many fertility experts have already observed: AMH does not dictate a woman’s reproductive potential. And although AMH testing is one of the most common ways that doctors assess a woman’s fertility — it is especially important for women struggling with infertility — an AMH value is not always telling.

Dr. Zev Rosenwaks, director of the Center for Reproductive Medicine at NewYork-Presbyterian Hospital/Weill Cornell Medical Center, called the study “elegant.”

“All it takes is one egg each cycle,” he said. “AMH is not a marker of whether you can or cannot become pregnant.”

For women who have not yet tried to get pregnant and who are wondering whether they are fertile, an AMH value “isn’t going to be helpful in that context,” said Dr. Esther Eisenberg, the program director of the Reproductive Medicine and Infertility Program at the National Institutes of Health, which helped fund the study. In addition, “AMH wouldn’t necessarily be a good marker to tell you when you ought to freeze your eggs.”

Doctors do not yet have a way to definitively predict egg quality or a woman’s long-term ability to conceive, but age is one of the most important factors.

“I really do feel like that’s all we have right now,” said Dr. Anne Steiner, the lead researcher of the study and a professor of reproductive endocrinology and infertility at the University of North Carolina.

Her study followed 750 women between the ages of 30 and 44 who had been trying to conceive for three months or less. During the 12 month observation period, those with low AMH values of less than .7 were not less likely to conceive than those who had normal AMH values.

The study has various limitations, however, that are worth noting. The researchers only included women who did not have a history of infertility. Women who sought fertility treatments (about 6 percent) were withdrawn. And only 12 percent of the women were in the 38-44 age range. In addition, the number of live births was unavailable.

Although AMH testing is not designed to be an overall gauge of a woman’s fertility, it can still provide valuable information, especially for “women who are infertile and seeking treatment,” Rosenwaks said.

It can assist in diagnosing polycystic ovarian syndrome and identify when a woman is getting close to menopause.

Previous research also shows that AMH is pretty good at predicting a woman’s response to ovarian stimulation for in vitro fertilization, Steiner said, and it can predict the probability of conceiving via IVF.

That was the case for Lauren Donato, 37, who has spent about $50,000 trying to conceive, mainly via IVF, after learning last year that her AMH was very low. She recently moved back in with her parents to avoid going into debt.

She thought about freezing her eggs a decade ago. At the time, she said, she was told not to worry about her fertility.

As the years passed, Donato, a mental health counselor from Brooklyn, who is single, continued to think about having children.

Last year, when she was 36, one of her doctors finally tested her AMH.

Anything under 1 is typically considered a low AMH value for a woman her age, she was told. Hers was 0.1.

She visited a reproductive endocrinologist who suggested that she try IVF now.

“The doctor pretty much said, ‘You’re going to have a baby now or you’re not going to have any kids,’ ” Donato said.

She selected a sperm donor and has been trying to find her “golden egg” — that one egg that will result in a pregnancy — ever since.

“Quantity means nothing, it’s quality,” she said. “And there’s no test for quality.”