2 Intwined Serpents On Our Medical Logo? 
intriguing isn't it?

Here is an interesting and historical explanation of it's origin from a
yahoo poster:

The serpentine staff is called a caduceus. It has Greek origins -- Hermes, the messenger of the gods, carried it as a symbol of peace.

Ancient Greeks created the caduceus as a badge of honor; ambassadors and noblemen carried a long staff entwined with garlands or ribbons to announce their presence. The garlands were later interpreted as snakes, and a pair of wings was added to denote Hermes, the winged messenger.

Here's where it gets tricky. The U.S. Army medical corps adopted the caduceus as their insignia because of its similarity to the staff carried by Asclepius, the god of medicine. The staff of Asclepius is considered the "true symbol of medicine" -- it features only one snake, and no wings. It's the emblem of the American Medical Association.

The two symbols are quite similar in appearance, and both are derived from Greek mythology.

The Caduceus generally stands for peace, although it may also serve as a symbol of trade and communication, while the staff of Asclepius stands for healing.

OK.............
And Now... our intake on it.

Obviousely we do not have all the answers, but 2 reptiles spiraled around a staff?  And especialy how it resembles DNA and spirals to the climax of an apex. Einstein's sketch of the universe was 2 coneular hour glasses mirroring each other on a gravitational pull or spiral. Phi being the curve of witch it winds up and down. Pine cones have the design, Sunflowers and other flowers have it, and the Earth's grid has it.  YES, and our DNA has it along with the harmonic structure of the pyramids.

This makes you wonder more and more that the base species of life forms are reptile or reptilian. There may even have been some gene splicing by aliens from other systems. Hey, Scientists now are almost certain that Mars had life. Then the atmosphere depleted. Where would life go from a planet like mars to survive. Hmm... Let's see. Maybe here, Earth. Possible, you never know.
........................................................................................................................................................................................................................

Below is a You Tube video I found quite interesting and well done.