Figure 2

From: Digital Signal Processing and Control for the Study of Gene Networks

Figure 2

(A) The simulation result of Eq. 4. yprotein reaches a constant or steady-state level as time approaches infinity while yprotein production and degradation and/or dilution are simultaneously occurring. (B) The time constant τ (tau) represents the time it takes yprotein to reach approximately 63.2% of the steady-state level. It is also called the response time, which can be used to evaluate how fast yprotein changes or responds to the input signals. (C) The effect of different pxy values on yprotein. As pxy increases, the steady-state level also increases because x*proteinis increasingly activating ygene. However, the time constant τ does not change, indicating that pxy, which governs yproteinproduction, does not affect how fast yprotein reaches its steady-state level. (D) The effect of different py values on yprotein. As py decreases (degradation increases), the steady-state level decreases because yprotein is degraded or diluted more. Note the time constant τ also decreases, which means yprotein reaches its steady-state level faster as py decreases.