Figure 12.

The mean and the standard deviation of the pulse width (δ) for the 1-bit counter, the 2-bit counter, and the 3-bit counter for various $\left(n,K\right)$ pairs

We explore the $\left(n,K\right)$ space with the cooperativity index n ranging from 1 to 10, and the kinetic constant K ranging from 0 to 1. The pulse width's mean (δ-mean) for each $\left(n,K\right)$ pair indicates the mean of the feasible range of pulse widths for a specific $\left(n,K\right)$ pair. The pulse width's standard deviation (δ-std) quantifies the robustness of a given counter against perturbations. Right, middle, and left plots show, respectively, the mean (top) and standard deviation (bottom) for 1-bit, 2-bit and 3-bit counters ordered from left to right. The plots show that the 1-bit counter can operate with smaller values of n. The region of robustness for the 2-bit and the 3-bit counters shifts rightward in the $\left(n,K\right)$ plan compared to the 1-bit counter.