07/26/2013 04:00 pm ET

Conjoined Twins Fight For Their Lives In India; Boys Share One Body, Two Heads (VIDEO)

Doctors in India are working to save the lives of a pair of male twins born sharing one body with two heads.

Delivered in the Tonk district of Rajasthan on Wednesday, the boys have one rib cage and one shoulder girdle, but two distinct heads, nervous systems and backbones. Theirs is a rare condition known as conjoined dicephalic parapagus, according to CBS News.

The Hindu reports that doctors said the condition is extremely uncommon and is one of only a few such cases ever seen in India.

The unnamed baby boys are currently undergoing further testing at the J.K. Lone hospital of Jaipur, according to Indian wire service ANI.

“They are inoperable and cannot be operated upon anywhere in the world,” S.D. Sharma, superintendent of hospital, told The Hindu. “We have constituted an expert team and they are examining the twins under my supervision to find out the possible course of treatment."

Despite the many dangers associated with dicephalic parapagus, there have been famous success stories, perhaps most notably the case of conjoined Americans Abigail and Brittany Hensel. The women were featured on the popular TLC reality TV series "Abby & Brittany," which showed them traveling, graduating from college and applying for jobs.