Fig. 4. The OR logic gate has the similar DoRA behavior to the AND logic gate.

a Comparisons of the distance metrics between the system with the AND logic gate and that with the OR logic gate. The AND logic gate means that the production rate of mGAP is modeled by $k_{feedback}^{AND}\cdot tGEF\cdot t{G}^{*}$; the OR logic gate corresponds to $k_{feedback}^{OR}\left(tGEF+t{G}^{*}\right)$. Each dot corresponds to one kinetic parameter set in the parameter space $\left\{k_{on}^R,k_{on}^{mG},k_{on}^{tG}\right\}$, and the $k_{feedback}^{OR}$ is different from $k_{feedback}^{AND}$ to ensure the same mGTPase activation level $m{G}_{ss,max}^{*}$ (the value when the stimulus S → ∞). The black dashed line indicates the averaged distance from dots to the diagonal line. The diagonal line is in blue. b Theoretical analysis for comparisons of distance metrics between AND and OR logic gates in the mass action model. The tGEF can be rewritten as a function of mG^*, i.e., h₁(mG^*); the tG^* is rewritten as the function h₂(mG^*). c, d The same plots as in (a–b) but the Hill-function kinetics is adopted.