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Table 1 Proportion of mutant cell-produced Dkk reaching a wild-type cell. A parameter-independent upper bound for the proportion of mutant cell (cell 11) produced Dkk reaching a wild-type cell is computed depending on the distance between both cells (derived in Additional file 1, section C)

From: Paracrine and autocrine regulation of gene expression by Wnt-inhibitor Dickkopf in wild-type and mutant hepatocytes

Distance to mutant cell Parameter-independent upper bound
1 cell 17.2%
2 cells 9.0%
3 cells 6.1%
4 cells 4.9%
5 cells 4.8%