Fig. 5: Simultaneous advancing and receding waves of DA and CIN activity in AIRD model.
From: Acetylcholine waves and dopamine release in the striatum
a Left: Phase plane. The diffusion-less system’s nullclines intersect at 3 fixed-points, such that (u1,v1) and (u3,v3) (where u3 > u1 and v3 < v1) are stable, as is evident from the flow fields. When β = 1 the area between the nullclines that is adjacent to (u1,v1) is smaller than the area that is adjacent to (u3,v3). Right: As a result the traveling waves of u(x,t) and v(x,t) move such that (u3,v3) wins over, meaning that the u (CIN) wave advances and the v (DA) wave recedes. Inset: space-time plot of u(x,t). b Same as a, except that when β = 1.8, the area adjacent to (u1,v1) is larger and the traveling waves are such that the u wave recedes and the v wave advances. Other parameters: A = 4.2, σ = 0.75, κ = 1.5, γ = 0.47, ϕ = 10, Du = 0.02, Dv = 1.
