Figure 11: Melanophore movement and birth models with our Offset rectangles initial condition to verify
that our fitting procedure is robust in non-standard geometries. Results in (a)–(h) and (j)–(l) are for Nbir =
150 positions/day. As in Fig. 10, we show (a)–(d) the EA ABM result across 1000 simulations; (e)–(h) the
corresponding PDE solution with c+ = 7.0686 cells and the values of αMM and γ that we estimated in §3.1
and §3.2, respectively; (i) the PDE cell mass in time compared to the mean number of cells across 1000 ABM
simulations for different Nbir values; and (j)–(l) the difference between the PDE and EA ABM solutions from
(a)–(h). To provide more intuition, we overlay some cell positions from one ABM simulation.
that our fitting procedure is robust in non-standard geometries. Results in (a)–(h) and (j)–(l) are for Nbir =
150 positions/day. As in Fig. 10, we show (a)–(d) the EA ABM result across 1000 simulations; (e)–(h) the
corresponding PDE solution with c+ = 7.0686 cells and the values of αMM and γ that we estimated in §3.1
and §3.2, respectively; (i) the PDE cell mass in time compared to the mean number of cells across 1000 ABM
simulations for different Nbir values; and (j)–(l) the difference between the PDE and EA ABM solutions from
(a)–(h). To provide more intuition, we overlay some cell positions from one ABM simulation.