The conversion factor for umol\L to mg/dL for bilirubin is 17.1, so divide the umol\L by 17.1 to find the value in mg/dL. This results in .12 mg/dL direct bilirubin (this is within normal range) and 2.75 mg/dL total bilirubin (this is double normal range). The high bilirubin level is directly related to hemolysis, the breakdown of the transfused red blood cells. This is also why his eyes are yellow. Please be aware that this level poses no real danger, but it does make gallstones more likely. There are various factors for why the blood breaks down, but transfused blood does not last long, and this is a common problem for thals. In an ideal world, we would have genotype matched blood that was fresh and 100% guaranteed to be disease free. This would help red blood cells to survive longer after transfusion, but there would still be premature hemolysis, resulting in a higher output of bilirubin. But we're not living in that world, so we do have to contend with things that could be reduced or eliminated. High bilirubin is one of these things...but,
Some things worth trying are nigella, vitamin D, magnesium, B complex and vitamin E. These may have a positive effect in several ways, and will hopefully have some effect on the hemolysis, and also the health of the liver and gallbladder.