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

Signal Transduction Cascade

A series of sequential biochemical reactions initiated by a signal, ultimately leading to a cellular response, characterized by amplification and regulation.
📜

The statement of the theorem

Let [Mi][M_i] be the concentration of molecular species MiM_i at time tt. A cascade of NN sequential reactions is modeled by the system of coupled ODEs: d[M1]dt=k1[S]−k2[M1]\frac{d[M_1]}{dt} = k_1 [S] - k_2 [M_1] d[Mi]dt=ki−1[Mi−1]−ki[Mi], for i=2, to N\frac{d[M_i]}{dt} = k_{i-1} [M_{i-1}] - k_i [M_i], \text{ for } i=2, \text{ to } N d[MN+1]dt=kN[MN]−kN+1[MN+1]\frac{d[M_{N+1}]}{dt} = k_N [M_N] - k_{N+1} [M_{N+1}] where [S][S] is the initial signal concentration, and kik_i are the rate constants for phosphorylation/activation steps. The overall response is determined by the steady-state concentration of the final effector, [MN+1]ss[M_{N+1}]_{ss}.
Source: Wikipedia