Figure 8: Melanophore proliferation models with our Box initial condition. Results in (a)–(h) and (j)–(l) are
for Nbir = 150 positions/day. We compute (a)–(d) the EA ABM result across 1000 simulations, and (e)–(h) the
solution of our IDE model with optimal parameters c+ = 8.564 and γ = 0.1274. (i) Our continuous model
captures the mean number of cells in our ABM simulations for different Nbir values well across time. (j)–(l)
As in the 1D case in Fig. 7, the difference between the IDE and EA ABM results demonstrates that the ABM
support extends beyond the IDE support. To provide more intuition, we overlay roughly half of the cell positions
from an example ABM simulation in (a)–(h) and (j)–(l). See Supplementary Fig. 8 and Supplementary Table 4
for corresponding simulations using our Offset rectangles initial condition.
for Nbir = 150 positions/day. We compute (a)–(d) the EA ABM result across 1000 simulations, and (e)–(h) the
solution of our IDE model with optimal parameters c+ = 8.564 and γ = 0.1274. (i) Our continuous model
captures the mean number of cells in our ABM simulations for different Nbir values well across time. (j)–(l)
As in the 1D case in Fig. 7, the difference between the IDE and EA ABM results demonstrates that the ABM
support extends beyond the IDE support. To provide more intuition, we overlay roughly half of the cell positions
from an example ABM simulation in (a)–(h) and (j)–(l). See Supplementary Fig. 8 and Supplementary Table 4
for corresponding simulations using our Offset rectangles initial condition.