“…Calcium dynamics obeys the diffusion equation with decay, which accounts for experimental observations that calcium waves in the epidermis propagate only within a finite range [5,[8][9][10]. The source of calcium ions, which is represented by the δ function, is considered to be located along the upper interface z = h(x,t), according to an experimental finding that sustained calcium excitation occurs around dead cells, which might account for the calcium localization layer beneath the SC [11]. Hence, in this model, calcium dynamics is affected by the shape of the upper boundary h(x,t), which is implicitly determined by the relationship S| z=h(x,t) = 1, while the differentiation is accelerated in the regions where the calcium concentration is high.…”