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Table 1 The reaction table with x corresponding to p53, y 0 to Mdm2-precursor while y corresponds to Mdm2

From: Parametric sensitivity analysis for biochemical reaction networks based on pathwise information theory

Event Reaction Rate Rate’s derivative
R 1  → x a1(x) = b x θ a1(x) = [1, 0, 0, 0, 0, 0, 0]T
R 2 x →  a 2 (x)= a x x+ a k y x + k x θ a2(x) = [0, x, x y / (x + k),
   a k x y / (x + k)2, 0, 0, 0]T
R 3 x → x + y0 a3(x) = b y x θ a3(x) = [0, 0, 0, 0, x, 0, 0]T
R 4 y0 → y a4(x) = a0y0 θ a4(x) = [0, 0, 0, 0, 0, y0, 0]T
R 5 y →  a5(x) = a y y θ a5(x) = [0, 0, 0, 0, 0, 0, y]T
  1. The state of the reaction model is defined as x = [x, y0, y ]T while the parameter vector is defined as θ = [b x , a x , a k , k, b y , a0, a y ]T.