< Back to Article

A single reaction-diffusion equation for the multifarious eruptions of urticaria

Fig 3

Multifarious eruptions of urticaria and simulation results.

(A-F) Patterns of representative urticaria eruptions developed in patients (lower or right panels), and patterns simulated (upper or left panels) by parameters notated by (q₀), , , , (q_μ), (q_γ), (q_F), (q_U) in (Fig 2D–2G) were assigned to similar eruptions developed in real patients with urticaria. The right-hand side figure in C was generated with a stronger initial stimulus than that in the left-hand side figure. The time of simulation result is notated in each figure. (G) Wheal patterns for the increase in the strength of the stimulus (P_r). The density of wheals is notably increased. (H) Wheal patterns are shown with respect to two different weight functions of ψ(x) with the fixed P_r. α₂ = 5.0,u* = 0.181, and the other parameters chosen were listed in Table 1 (Set I) for (G) and (H).

doi: https://doi.org/10.1371/journal.pcbi.1007590.g003