Beta Phase: Square45 is currently in beta testing. Expect some features or content to be incomplete or missing.
45

Threshold Effect

The observation that a signal must reach a certain concentration or intensity to trigger a cellular response, suggesting a regulatory mechanism.
📜

The statement of the theorem

The relationship between the input signal concentration [S][S] and the resulting cellular activity AA is modeled by the Hill equation, which incorporates a cooperative binding mechanism: A([S])=Amax[S]hKDh+[S]h A([S]) = A_{max} \frac{[S]^h}{K_D^h + [S]^h} where AmaxA_{max} is the maximum achievable activity, KDK_D is the signal concentration required for half-maximal response, and hh is the Hill coefficient. A threshold effect is mathematically manifested when h>1h > 1, indicating a cooperative, non-linear switch-like response.
Source: Wikipedia