Roberson's lawyers, a bipartisan group of Texas lawmakers, medical experts and others argue his conviction was based on faulty and now outdated

The American Academy of Pediatrics embraces the diagnosis, but courts have thrown out some cases, calling it “junk science.”

Texas is slated to put Robert Roberson III to death Thursday evening in what could be an unprecedented execution of a disabled man convicted of killing his daughter based on scrutinized science. Roberson,