Fig. 5

Impact of a mutant cell on target gene mRNA expression and Dkk concentration. a, b: Target gene mRNA expression (a) and Dkk concentration (b) profiles in the wild-type scenario. c, d: Target gene mRNA expression (c) and Dkk concentration (d) profiles in the presence of a cell harbouring a mutation that impedes APC-dependent β-catenin degradation. In the model the mutation is realised by a ten-fold decrease in the APC-dependent β-catenin degradation rate (k ₃) in the cell positioned at the centre of the porto-central axis (cell 11). e: Relative change of target gene mRNA expression of the mutant scenario (c) compared to the wild-type scenario (a), i.e. \(\frac {[\text {target gene mRNA}]_{\text {mutant scenario}}-[\text {target gene mRNA}]_{\text {wild-type scenario}}}{[\text {target gene mRNA}]_{\text {wild-type scenario}}}\), stated in %. f: The average concentration of Dkk per cell is compared between wild-type (b) and mutant (d) conditions. The reference parameter set (Additional file 1: Table S1) is considered in the simulations