Figure 1.
Cascade signaling scheme.
Figure 2.
Active form concentration profiles, , obtained by numerical integration of Eq. (8) with γ = 0.1 at different times: (A) t = 1; (B) t = 10; (C) t = 50; (D)
.
Figure 3.
Stationary concentration profiles, , for different values of γ: (A) γ = 0.05; (B) γ = 0.25; (C) γ = 4; (D) γ = 50.
The dotted lines in Fig. (A) and (B) are given by Eq. (10). Dashed lines in Figs. (C) and (D) are the exact solutions to Eq. (9) given in the supporting information by Eq. (A2).
Figure 4.
Concentration profiles as in Fig. 3A shifted to the left by a distance given by Eq. (11) with
.
Figure 5.
Stationary concentration profiles, , obtained by numerical integration of Eqs. (13) with γ = 0.1 for different values of
and
: (A)
,
; (B)
,
.
Figure 6.
Stationary concentration profiles, , obtained by numerical integration of Eqs. (13) with γ = 10 for different values of
and
: (A)
,
; (B)
,
.
Figure 7.
Parameter regions corresponding to propagating (red crosses) and decaying signals (blue circles) as a function of γ and or
for: (A)
, and (B)
.
Dashed lines in Fig A and B are given by the Eqs. (16) and (18), respectively.
Figure 8.
Parameter regions corresponding to propagating (red crosses) and decaying signals (blue circles) as a function of γ and small values of .