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Phase diagram in the (ϕ; κ) plane for ε = 20, and γ = 0. The solid curves describe the coexisting spike densities 
when all budding regions are treated as one macroscopic phase. The dashed curves describe the results for a system of discrete buds of two-dimensional density c = 0.005, in a membrane with spike density φ = 0.1. Shown are a few tie lines (light dashed horizontal lines). The inset magnifies the behavior in the low κ regime.
