The vein that goes from the gastrointestinal tract to the liver was missing in the children and the novel transplants were performed in 2012 at Sahlgrenska University Hospital.
"We used the stem cells of the patients to grow a new blood vessel that would permit the two organs to collaborate properly," said Michael Olausson, Professor at Sahlgrenska Academy at University of Gothenburg, Sweden.
Researchers found a way to extract stem cells that did not necessitate taking them from the bone marrow.
The method involved taking 25 millilitre (approximately 2 tablespoons) of blood, the minimum quantity needed to obtain enough stem cells.
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"Not only that, but the blood itself accelerated growth of the new vein," Sumitran-Holgersson said.
"The entire process took only a week, as opposed to a month in the first case. The blood contains substances that naturally promote growth," she said.
In the third case the child is under medical surveillance and the outcome is more uncertain, researchers said.
The researchers have now reached the point that they can avoid taking painful blood marrow samples and complete the entire process in the matter of a week.
"We believe that this technological progress can lead to dissemination of the method for the benefit of additional groups of patients, such as those with varicose veins or myocardial infarction, who need new blood vessels," Sumitran-Holgersson said.