We've heard about her pneumonia, his testosterone. Now, what about mental health?

The kerfuffle about the health of the presidential candidates, Hillary Clinton and Donald Trump, focuses on their physical well-being.

While their cholesterol counts, hemoglobin readings, blood pressure and (for Trump) testosterone level have some significance in assessing their fitness to serve, this outlook is far too narrow.

It overlooks another important component of their health: the mental part.

The relationship between mental health and overall physical fitness has long been recognized, from the days of the ancient Greek philosophers to dispensers of modern medical treatment. Hippocrates, the father of Western medicine, noted the interaction of mind and body, although it is not referenced in his famous oath, still taken today by all newly minted physicians.

But the American Medical Association and the parallel bodies for psychiatrists, psychologists and other mental health professionals are less reticent in their pronouncements about the importance of a healthy mind to an individual's overall condition. As the American Psychological Association reminds readers of its website: "Your mind and your body work together."

So instead of simply releasing selected medical records from their own hand-picked doctors, as both Clinton and Trump have done, it would be appropriate to subject both of them to examination by neutral mental health professionals.

The purpose would be to assess the state of their minds as well as their bodies and, in plain-speaking terminology, see if they are deranged.

To spice up the process, the results could be revealed and analyzed on a prime-time television special that would far surpass the ratings for a midday airing of "The Dr. Oz Show."

The candidates and their handlers might be averse to submitting to this regimen. But if one was willing, the other might feel compelled to join.

Or, public pressure, spurred by the media, could be brought to bear. Even if it can't be done this year, the procedure could be established in the future.

The unwillingness of candidates voluntarily to have their mental health assessed might have to be overcome by legislation mandating that candidates submit to the process. And, while they're at it, the law might as well require disclosure of tax returns, too, a proposal that some Democrats are floating around Congress this year with little likelihood of passage.

Alas, any such law that could be passed might not pass muster. The Constitution prescribes only three qualifications for the presidency: natural-born citizenship, 35 years of age and 14 years of residence in this country. The courts have ruled that adding eligibility requirements to hold elective congressional positions is unconstitutional, and the same rationale probably would apply to the limited prerequisites for president established by the founders.

Hmmm. That's not such a crazy idea.