Nucleo-cytoplasmic shuttling of APC can maximize β‐catenin/TCF concentration

Using mathematical modelling, we demonstrate that in certain parameter ranges, the steady state concentration of [β‐catenin/TCF] benefits from APC shuttling. The inhibitory effect of APC is alleviated due to shuttling of APC. Surprisingly, our study therefore indicates that the nucleo-cytoplasmic shuttling of APC can have a beneficial effect on the output of the pathway in steady state, although APC is in general a β‐catenin antagonizing protein. Furthermore, we show that saturated protein translocation can under certain conditions be modelled by pure diffusion. A difference in the shuttling rate constants of sufficient orders of magnitude leads to an accumulation in either compartment, which corresponds to saturation in translocation.