Figure 5.

The oscillatory and wave behavior of our model, for different adhesion strength α, actin force $\tilde{f}$, and effective calcium activity constant B. The regions of α > α_w and α < α_w correspond to wave-instability and damped waves, respectively. (a) The graph of the mode of the maximum wave frequency, q_max, versus α for different values of $\tilde{f}$, as follows. (b) The graph of q_max versus α, but this time for different values of B. (c) The graph of the maximum frequency itself, Im(ω(q_max)), versus α, for different values of $\tilde{f}$. (d) The graph of Im(ω(q_max)) versus α, for different values of B. Physically, q_max and Im(ω(q_max)) yield the oscillating (standing wave) mode and frequency of the system. The graphs of mean group velocity of the wave, 〈V_g〉, versus α, is shown in panel e (for different values of $\tilde{f}$) and in panel f (for different values of B). T = 0.98 T₀ for all the graphs. In panels a, c, and e, B = 38.4 pN/μm² s and the values of $\tilde{f}$ are: 0.16 nN/μm² (black lines), 0.8 nN/μm² (gray lines), and 1.6 nN/μm² (dashed lines). In panels b, d, and f, $\tilde{f}=0.8\text{nN}/\mathit{\mu }{\text{m}}^2$ and the values of B are: 19.2 pN/μm² s (black lines), 38.4 pN/μm² s (gray lines), and 89.6 pN/μm² s (dashed lines). One can see that the magnitude of all the values shown in this graph increases with increasing B and decreases with increasing $\tilde{f}$.